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**Lesson 10.7, For use with pages 550-558**

Copy: 6.G.2 Apply the formula V = l w h to find volumes of rectangular prisms. 1. Find the surface area of a rectangular prism that is 12 inches by 3 inches by 6 inches. ANSWER 252in.2 2. Find the surface area of a rectangular prism that is 10 meters by 4 meters by 10 meters. ANSWER 360 m2

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**Apply the formula V = l w h to find volumes of rectangular prisms.**

EXAMPLE 1 Counting Cubes in a Stack Notepads Apply the formula V = l w h to find volumes of rectangular prisms.

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**Apply the formula V = l w h to find volumes of rectangular prisms.**

EXAMPLE 1 Counting Cubes in a Stack Notepads A manufacturer stacks cube-shaped notepads and wraps them in plastic as shown in Example 1. The manufacturer then puts them into a rectangular box for shipping. How many notepads will fit into each box? Apply the formula V = l w h to find volumes of rectangular prisms.

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**Apply the formula V = l w h to find volumes of rectangular prisms.**

EXAMPLE 1 Counting Cubes in a Stack Notepads A manufacturer stacks cube-shaped notepads and wraps them in plastic as shown in Example 1. The manufacturer then puts them into a rectangular box for shipping. How many notepads will fit into each box? To find the total number of notepads that will fit in one box, multiply the number of notepads in one layer by the number of layers. The notepads are stacked in 2 layers. Each layer is a rectangle that is 4 notepads long and 3 notepads wide. Apply the formula V = l w h to find volumes of rectangular prisms.

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**Apply the formula V = l w h to find volumes of rectangular prisms.**

EXAMPLE 1 Counting Cubes in a Stack Notepads in one layer Number of layers Apply the formula V = l w h to find volumes of rectangular prisms.

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**Apply the formula V = l w h to find volumes of rectangular prisms.**

EXAMPLE 1 Counting Cubes in a Stack Notepads in one layer Number of layers = Number of notepads Apply the formula V = l w h to find volumes of rectangular prisms.

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**Apply the formula V = l w h to find volumes of rectangular prisms.**

EXAMPLE 1 Counting Cubes in a Stack Notepads in one layer Number of layers = Number of notepads 4 3 2 Apply the formula V = l w h to find volumes of rectangular prisms.

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**Apply the formula V = l w h to find volumes of rectangular prisms.**

EXAMPLE 1 Counting Cubes in a Stack Notepads in one layer Number of layers = Number of notepads 4 3 2 = 24 Apply the formula V = l w h to find volumes of rectangular prisms.

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**Apply the formula V = l w h to find volumes of rectangular prisms.**

EXAMPLE 1 Counting Cubes in a Stack Notepads in one layer Number of layers = Number of notepads 4 3 2 = 24 ANSWER The manufacturer can fit 24 notepads in one box. Check You can count the number of notepads in the front layer, then multiply that number by the number of layers going front to back. Apply the formula V = l w h to find volumes of rectangular prisms.

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**Apply the formula V = l w h to find volumes of rectangular prisms.**

KEY CONCEPT Finding the Volume of a Prism Apply the formula V = l w h to find volumes of rectangular prisms.

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**Apply the formula V = l w h to find volumes of rectangular prisms.**

EXAMPLE 2 Finding the Volume of a Prism Find the volume of the rectangular prism. Apply the formula V = l w h to find volumes of rectangular prisms.

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**Apply the formula V = l w h to find volumes of rectangular prisms.**

EXAMPLE 2 Finding the Volume of a Prism Find the volume of the rectangular prism. Write the volume formula. Apply the formula V = l w h to find volumes of rectangular prisms.

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**Apply the formula V = l w h to find volumes of rectangular prisms.**

EXAMPLE 2 Finding the Volume of a Prism Find the volume of the rectangular prism. V = l w h Write the volume formula. Apply the formula V = l w h to find volumes of rectangular prisms.

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**Apply the formula V = l w h to find volumes of rectangular prisms.**

EXAMPLE 2 Finding the Volume of a Prism Find the volume of the rectangular prism. V = l w h Write the volume formula. Substitute for l, w, and h. Apply the formula V = l w h to find volumes of rectangular prisms.

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**Apply the formula V = l w h to find volumes of rectangular prisms.**

EXAMPLE 2 Finding the Volume of a Prism Find the volume of the rectangular prism. V = l w h Write the volume formula. Substitute for l, w, and h. = 8 ( 6.2 ) (3.9) Apply the formula V = l w h to find volumes of rectangular prisms.

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**Apply the formula V = l w h to find volumes of rectangular prisms.**

EXAMPLE 2 Finding the Volume of a Prism Find the volume of the rectangular prism. V = l w h Write the volume formula. Substitute for l, w, and h. Simplify. = 8 ( 6.2 ) (3.9) Apply the formula V = l w h to find volumes of rectangular prisms.

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**Apply the formula V = l w h to find volumes of rectangular prisms.**

EXAMPLE 2 Finding the Volume of a Prism Find the volume of the rectangular prism. V = l w h Write the volume formula. Substitute for l, w, and h. Simplify. = 8 ( 6.2 ) (3.9) = Apply the formula V = l w h to find volumes of rectangular prisms.

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**Apply the formula V = l w h to find volumes of rectangular prisms.**

EXAMPLE 2 Finding the Volume of a Prism Find the volume of the rectangular prism. V = l w h Write the volume formula. Substitute for l, w, and h. Simplify. = 8 ( 6.2 ) (3.9) = ANSWER The volume is cubic inches. Apply the formula V = l w h to find volumes of rectangular prisms.

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**Apply the formula V = l w h to find volumes of rectangular prisms.**

GUIDED PRACTICE for Examples 1 and 2 Apply the formula V = l w h to find volumes of rectangular prisms.

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**Apply the formula V = l w h to find volumes of rectangular prisms.**

GUIDED PRACTICE for Examples 1 and 2 1. What If? In Example 1, suppose a box can hold one more horizontal layer of notepads. How many notepads would fit in a box? Apply the formula V = l w h to find volumes of rectangular prisms.

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**Apply the formula V = l w h to find volumes of rectangular prisms.**

GUIDED PRACTICE for Examples 1 and 2 1. What If? In Example 1, suppose a box can hold one more horizontal layer of notepads. How many notepads would fit in a box? SOLUTION Apply the formula V = l w h to find volumes of rectangular prisms.

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**Apply the formula V = l w h to find volumes of rectangular prisms.**

GUIDED PRACTICE for Examples 1 and 2 1. What If? In Example 1, suppose a box can hold one more horizontal layer of notepads. How many notepads would fit in a box? SOLUTION To find the total number of notepads that will fit in one box, multiply the number of notepads in one layer by the number of layers. The notepads are stacked in 3 layers. Each layer is a rectangle that is 4 notepads long and 3 notepads wide. Apply the formula V = l w h to find volumes of rectangular prisms.

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**Apply the formula V = l w h to find volumes of rectangular prisms.**

GUIDED PRACTICE for Examples 1 and 2 Notepads in one layer Number of layers Apply the formula V = l w h to find volumes of rectangular prisms.

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**Apply the formula V = l w h to find volumes of rectangular prisms.**

GUIDED PRACTICE for Examples 1 and 2 Notepads in one layer Number of layers = Number of notepads Apply the formula V = l w h to find volumes of rectangular prisms.

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**Apply the formula V = l w h to find volumes of rectangular prisms.**

GUIDED PRACTICE for Examples 1 and 2 Notepads in one layer Number of layers = Number of notepads 4 3 3 Apply the formula V = l w h to find volumes of rectangular prisms.

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**Apply the formula V = l w h to find volumes of rectangular prisms.**

GUIDED PRACTICE for Examples 1 and 2 Notepads in one layer Number of layers = Number of notepads 4 3 3 = 36 Apply the formula V = l w h to find volumes of rectangular prisms.

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**Apply the formula V = l w h to find volumes of rectangular prisms.**

GUIDED PRACTICE for Examples 1 and 2 Notepads in one layer Number of layers = Number of notepads 4 3 3 = 36 ANSWER Apply the formula V = l w h to find volumes of rectangular prisms.

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**Apply the formula V = l w h to find volumes of rectangular prisms.**

GUIDED PRACTICE for Examples 1 and 2 Notepads in one layer Number of layers = Number of notepads 4 3 3 = 36 ANSWER The manufacturer can fit 36 notepads in one box.. Apply the formula V = l w h to find volumes of rectangular prisms.

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**Apply the formula V = l w h to find volumes of rectangular prisms.**

GUIDED PRACTICE for Examples 1 and 2 Find the volume of the rectangular prism with the given dimensions. Apply the formula V = l w h to find volumes of rectangular prisms.

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**Apply the formula V = l w h to find volumes of rectangular prisms.**

GUIDED PRACTICE for Examples 1 and 2 Find the volume of the rectangular prism with the given dimensions. 2. 5 m by 2 m by 4 m Apply the formula V = l w h to find volumes of rectangular prisms.

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**Apply the formula V = l w h to find volumes of rectangular prisms.**

GUIDED PRACTICE for Examples 1 and 2 Find the volume of the rectangular prism with the given dimensions. 2. 5 m by 2 m by 4 m Write the volume formula. Apply the formula V = l w h to find volumes of rectangular prisms.

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**Apply the formula V = l w h to find volumes of rectangular prisms.**

GUIDED PRACTICE for Examples 1 and 2 Find the volume of the rectangular prism with the given dimensions. 2. 5 m by 2 m by 4 m l w h V = Write the volume formula. Apply the formula V = l w h to find volumes of rectangular prisms.

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**Apply the formula V = l w h to find volumes of rectangular prisms.**

GUIDED PRACTICE for Examples 1 and 2 Find the volume of the rectangular prism with the given dimensions. 2. 5 m by 2 m by 4 m l w h V = Write the volume formula. Substitute for l, w, and h. Apply the formula V = l w h to find volumes of rectangular prisms.

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**Apply the formula V = l w h to find volumes of rectangular prisms.**

GUIDED PRACTICE for Examples 1 and 2 Find the volume of the rectangular prism with the given dimensions. 2. 5 m by 2 m by 4 m l w h V = Write the volume formula. Substitute for l, w, and h. = 5 ( 2 ) ( 4 ) Apply the formula V = l w h to find volumes of rectangular prisms.

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**Apply the formula V = l w h to find volumes of rectangular prisms.**

GUIDED PRACTICE for Examples 1 and 2 Find the volume of the rectangular prism with the given dimensions. 2. 5 m by 2 m by 4 m l w h V = Write the volume formula. Substitute for l, w, and h. Simplify. = 5 ( 2 ) ( 4 ) Apply the formula V = l w h to find volumes of rectangular prisms.

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**Apply the formula V = l w h to find volumes of rectangular prisms.**

GUIDED PRACTICE for Examples 1 and 2 Find the volume of the rectangular prism with the given dimensions. 2. 5 m by 2 m by 4 m l w h V = Write the volume formula. Substitute for l, w, and h. Simplify. = 5 ( 2 ) ( 4 ) = 40 Apply the formula V = l w h to find volumes of rectangular prisms.

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**Apply the formula V = l w h to find volumes of rectangular prisms.**

GUIDED PRACTICE for Examples 1 and 2 Find the volume of the rectangular prism with the given dimensions. 2. 5 m by 2 m by 4 m l w h V = Write the volume formula. Substitute for l, w, and h. Simplify. = 5 ( 2 ) ( 4 ) = 40 ANSWER Apply the formula V = l w h to find volumes of rectangular prisms.

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**Apply the formula V = l w h to find volumes of rectangular prisms.**

GUIDED PRACTICE for Examples 1 and 2 Find the volume of the rectangular prism with the given dimensions. 2. 5 m by 2 m by 4 m l w h V = Write the volume formula. Substitute for l, w, and h. Simplify. = 5 ( 2 ) ( 4 ) = 40 ANSWER The volume is 40 cubic meters. Apply the formula V = l w h to find volumes of rectangular prisms.

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**Apply the formula V = l w h to find volumes of rectangular prisms.**

GUIDED PRACTICE for Examples 1 and 2 Find the volume of the rectangular prism with the given dimensions. Apply the formula V = l w h to find volumes of rectangular prisms.

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**Apply the formula V = l w h to find volumes of rectangular prisms.**

GUIDED PRACTICE for Examples 1 and 2 Find the volume of the rectangular prism with the given dimensions. ft. by 6 ft. by 6 ft. Apply the formula V = l w h to find volumes of rectangular prisms.

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**Apply the formula V = l w h to find volumes of rectangular prisms.**

GUIDED PRACTICE for Examples 1 and 2 Find the volume of the rectangular prism with the given dimensions. ft. by 6 ft. by 6 ft. Write the volume formula. Apply the formula V = l w h to find volumes of rectangular prisms.

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**Apply the formula V = l w h to find volumes of rectangular prisms.**

GUIDED PRACTICE for Examples 1 and 2 Find the volume of the rectangular prism with the given dimensions. ft. by 6 ft. by 6 ft. l w h V = Write the volume formula. Apply the formula V = l w h to find volumes of rectangular prisms.

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**Apply the formula V = l w h to find volumes of rectangular prisms.**

GUIDED PRACTICE for Examples 1 and 2 Find the volume of the rectangular prism with the given dimensions. ft. by 6 ft. by 6 ft. l w h V = Write the volume formula. Apply the formula V = l w h to find volumes of rectangular prisms.

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**Apply the formula V = l w h to find volumes of rectangular prisms.**

GUIDED PRACTICE for Examples 1 and 2 Find the volume of the rectangular prism with the given dimensions. ft. by 6 ft. by 6 ft. l w h V = Write the volume formula. Substitute for l, w, and h. Apply the formula V = l w h to find volumes of rectangular prisms.

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**Apply the formula V = l w h to find volumes of rectangular prisms.**

GUIDED PRACTICE for Examples 1 and 2 Find the volume of the rectangular prism with the given dimensions. ft. by 6 ft. by 6 ft. l w h V = Write the volume formula. Substitute for l, w, and h. = 12.5 ( 6 ) ( 6 ) Apply the formula V = l w h to find volumes of rectangular prisms.

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**Apply the formula V = l w h to find volumes of rectangular prisms.**

GUIDED PRACTICE for Examples 1 and 2 Find the volume of the rectangular prism with the given dimensions. ft. by 6 ft. by 6 ft. l w h V = Write the volume formula. Substitute for l, w, and h. Simplify. = 12.5 ( 6 ) ( 6 ) Apply the formula V = l w h to find volumes of rectangular prisms.

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**Apply the formula V = l w h to find volumes of rectangular prisms.**

GUIDED PRACTICE for Examples 1 and 2 Find the volume of the rectangular prism with the given dimensions. ft. by 6 ft. by 6 ft. l w h V = Write the volume formula. Substitute for l, w, and h. Simplify. = 12.5 ( 6 ) ( 6 ) = 450 Apply the formula V = l w h to find volumes of rectangular prisms.

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**Apply the formula V = l w h to find volumes of rectangular prisms.**

GUIDED PRACTICE for Examples 1 and 2 Find the volume of the rectangular prism with the given dimensions. ft. by 6 ft. by 6 ft. l w h V = Write the volume formula. Substitute for l, w, and h. Simplify. = 12.5 ( 6 ) ( 6 ) = 450 ANSWER Apply the formula V = l w h to find volumes of rectangular prisms.

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**Apply the formula V = l w h to find volumes of rectangular prisms.**

GUIDED PRACTICE for Examples 1 and 2 Find the volume of the rectangular prism with the given dimensions. ft. by 6 ft. by 6 ft. l w h V = Write the volume formula. Substitute for l, w, and h. Simplify. = 12.5 ( 6 ) ( 6 ) = 450 ANSWER The volume is 450 ft3. Apply the formula V = l w h to find volumes of rectangular prisms.

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**Apply the formula V = l w h to find volumes of rectangular prisms.**

EXAMPLE 3 Using the Formula for Volume Aquariums Apply the formula V = l w h to find volumes of rectangular prisms.

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**Apply the formula V = l w h to find volumes of rectangular prisms.**

EXAMPLE 3 Using the Formula for Volume Aquariums A pool at an aquarium is a rectangular prism that is 30 meters wide and 12 meters deep.Its volume is 21,600 cubic meters. How long is the pool? Apply the formula V = l w h to find volumes of rectangular prisms.

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**Apply the formula V = l w h to find volumes of rectangular prisms.**

EXAMPLE 3 Using the Formula for Volume Aquariums A pool at an aquarium is a rectangular prism that is 30 meters wide and 12 meters deep.Its volume is 21,600 cubic meters. How long is the pool? SOLUTION Apply the formula V = l w h to find volumes of rectangular prisms.

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**Apply the formula V = l w h to find volumes of rectangular prisms.**

EXAMPLE 3 Using the Formula for Volume Aquariums A pool at an aquarium is a rectangular prism that is 30 meters wide and 12 meters deep.Its volume is 21,600 cubic meters. How long is the pool? SOLUTION Write the volume formula. Apply the formula V = l w h to find volumes of rectangular prisms.

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**Apply the formula V = l w h to find volumes of rectangular prisms.**

EXAMPLE 3 Using the Formula for Volume Aquariums A pool at an aquarium is a rectangular prism that is 30 meters wide and 12 meters deep.Its volume is 21,600 cubic meters. How long is the pool? SOLUTION V = lwh Write the volume formula. Apply the formula V = l w h to find volumes of rectangular prisms.

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**Apply the formula V = l w h to find volumes of rectangular prisms.**

EXAMPLE 3 Using the Formula for Volume Aquariums A pool at an aquarium is a rectangular prism that is 30 meters wide and 12 meters deep.Its volume is 21,600 cubic meters. How long is the pool? SOLUTION V = lwh Write the volume formula. Substitute for V, w, and h. Apply the formula V = l w h to find volumes of rectangular prisms.

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**Apply the formula V = l w h to find volumes of rectangular prisms.**

EXAMPLE 3 Using the Formula for Volume Aquariums A pool at an aquarium is a rectangular prism that is 30 meters wide and 12 meters deep.Its volume is 21,600 cubic meters. How long is the pool? SOLUTION V = lwh 21,600 = l Write the volume formula. Substitute for V, w, and h. Apply the formula V = l w h to find volumes of rectangular prisms.

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**Apply the formula V = l w h to find volumes of rectangular prisms.**

EXAMPLE 3 Using the Formula for Volume Aquariums A pool at an aquarium is a rectangular prism that is 30 meters wide and 12 meters deep.Its volume is 21,600 cubic meters. How long is the pool? SOLUTION V = lwh 21,600 = l Write the volume formula. Substitute for V, w, and h. Simplify. Apply the formula V = l w h to find volumes of rectangular prisms.

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**Apply the formula V = l w h to find volumes of rectangular prisms.**

EXAMPLE 3 Using the Formula for Volume Aquariums A pool at an aquarium is a rectangular prism that is 30 meters wide and 12 meters deep.Its volume is 21,600 cubic meters. How long is the pool? SOLUTION V = lwh 21,600 = l 21,600 = l 360 Write the volume formula. Substitute for V, w, and h. Simplify. Apply the formula V = l w h to find volumes of rectangular prisms.

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**Apply the formula V = l w h to find volumes of rectangular prisms.**

EXAMPLE 3 Using the Formula for Volume Aquariums A pool at an aquarium is a rectangular prism that is 30 meters wide and 12 meters deep.Its volume is 21,600 cubic meters. How long is the pool? SOLUTION V = lwh 21,600 = l 21,600 = l 360 Write the volume formula. Substitute for V, w, and h. Simplify. Write a related division equation Apply the formula V = l w h to find volumes of rectangular prisms.

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**Apply the formula V = l w h to find volumes of rectangular prisms.**

EXAMPLE 3 Using the Formula for Volume Aquariums A pool at an aquarium is a rectangular prism that is 30 meters wide and 12 meters deep.Its volume is 21,600 cubic meters. How long is the pool? SOLUTION V = lwh 21,600 = l 21,600 = l 360 l = 21, Write the volume formula. Substitute for V, w, and h. Simplify. Write a related division equation Apply the formula V = l w h to find volumes of rectangular prisms.

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**Apply the formula V = l w h to find volumes of rectangular prisms.**

EXAMPLE 3 Using the Formula for Volume Aquariums A pool at an aquarium is a rectangular prism that is 30 meters wide and 12 meters deep.Its volume is 21,600 cubic meters. How long is the pool? SOLUTION V = lwh 21,600 = l 21,600 = l 360 l = 21, Write the volume formula. Substitute for V, w, and h. Simplify. Write a related division equation Simplify. Apply the formula V = l w h to find volumes of rectangular prisms.

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**Apply the formula V = l w h to find volumes of rectangular prisms.**

EXAMPLE 3 Using the Formula for Volume Aquariums A pool at an aquarium is a rectangular prism that is 30 meters wide and 12 meters deep.Its volume is 21,600 cubic meters. How long is the pool? SOLUTION V = lwh 21,600 = l 21,600 = l 360 l = 21, l = 60 Write the volume formula. Substitute for V, w, and h. Simplify. Write a related division equation Simplify. Apply the formula V = l w h to find volumes of rectangular prisms.

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**Apply the formula V = l w h to find volumes of rectangular prisms.**

EXAMPLE 3 Using the Formula for Volume ANSWER The length of the pool is 60 meters. Apply the formula V = l w h to find volumes of rectangular prisms.

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**Apply the formula V = l w h to find volumes of rectangular prisms.**

GUIDED PRACTICE for Example 3 Apply the formula V = l w h to find volumes of rectangular prisms.

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**Apply the formula V = l w h to find volumes of rectangular prisms.**

GUIDED PRACTICE for Example 3 In Exercises 4 and 5, the solids are rectangular prisms. Apply the formula V = l w h to find volumes of rectangular prisms.

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**Apply the formula V = l w h to find volumes of rectangular prisms.**

GUIDED PRACTICE for Example 3 In Exercises 4 and 5, the solids are rectangular prisms. 4. The volume of a swimming pool is 3750 cubic meters. The pool is 25 meters wide and 3 meters deep. How long is the pool? Apply the formula V = l w h to find volumes of rectangular prisms.

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**Apply the formula V = l w h to find volumes of rectangular prisms.**

GUIDED PRACTICE for Example 3 In Exercises 4 and 5, the solids are rectangular prisms. 4. The volume of a swimming pool is 3750 cubic meters. The pool is 25 meters wide and 3 meters deep. How long is the pool? SOLUTION Apply the formula V = l w h to find volumes of rectangular prisms.

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**Apply the formula V = l w h to find volumes of rectangular prisms.**

GUIDED PRACTICE for Example 3 In Exercises 4 and 5, the solids are rectangular prisms. 4. The volume of a swimming pool is 3750 cubic meters. The pool is 25 meters wide and 3 meters deep. How long is the pool? SOLUTION Write the volume formula. Apply the formula V = l w h to find volumes of rectangular prisms.

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**Apply the formula V = l w h to find volumes of rectangular prisms.**

GUIDED PRACTICE for Example 3 In Exercises 4 and 5, the solids are rectangular prisms. 4. The volume of a swimming pool is 3750 cubic meters. The pool is 25 meters wide and 3 meters deep. How long is the pool? SOLUTION V = lwh Write the volume formula. Apply the formula V = l w h to find volumes of rectangular prisms.

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**Apply the formula V = l w h to find volumes of rectangular prisms.**

GUIDED PRACTICE for Example 3 In Exercises 4 and 5, the solids are rectangular prisms. 4. The volume of a swimming pool is 3750 cubic meters. The pool is 25 meters wide and 3 meters deep. How long is the pool? SOLUTION V = lwh Write the volume formula. Substitute for V, w, and h. Apply the formula V = l w h to find volumes of rectangular prisms.

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**Apply the formula V = l w h to find volumes of rectangular prisms.**

GUIDED PRACTICE for Example 3 In Exercises 4 and 5, the solids are rectangular prisms. 4. The volume of a swimming pool is 3750 cubic meters. The pool is 25 meters wide and 3 meters deep. How long is the pool? SOLUTION V = lwh 3,750 = l Write the volume formula. Substitute for V, w, and h. Apply the formula V = l w h to find volumes of rectangular prisms.

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**Apply the formula V = l w h to find volumes of rectangular prisms.**

GUIDED PRACTICE for Example 3 In Exercises 4 and 5, the solids are rectangular prisms. 4. The volume of a swimming pool is 3750 cubic meters. The pool is 25 meters wide and 3 meters deep. How long is the pool? SOLUTION V = lwh 3,750 = l Write the volume formula. Substitute for V, w, and h. Simplify. Apply the formula V = l w h to find volumes of rectangular prisms.

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**Apply the formula V = l w h to find volumes of rectangular prisms.**

GUIDED PRACTICE for Example 3 In Exercises 4 and 5, the solids are rectangular prisms. 4. The volume of a swimming pool is 3750 cubic meters. The pool is 25 meters wide and 3 meters deep. How long is the pool? SOLUTION V = lwh 3,750 = l 3,750 = l 75 Write the volume formula. Substitute for V, w, and h. Simplify. Apply the formula V = l w h to find volumes of rectangular prisms.

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**Apply the formula V = l w h to find volumes of rectangular prisms.**

GUIDED PRACTICE for Example 3 In Exercises 4 and 5, the solids are rectangular prisms. 4. The volume of a swimming pool is 3750 cubic meters. The pool is 25 meters wide and 3 meters deep. How long is the pool? SOLUTION V = lwh 3,750 = l 3,750 = l 75 Write the volume formula. Substitute for V, w, and h. Simplify. Write a related division equation Apply the formula V = l w h to find volumes of rectangular prisms.

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**Apply the formula V = l w h to find volumes of rectangular prisms.**

GUIDED PRACTICE for Example 3 In Exercises 4 and 5, the solids are rectangular prisms. 4. The volume of a swimming pool is 3750 cubic meters. The pool is 25 meters wide and 3 meters deep. How long is the pool? SOLUTION V = lwh 3,750 = l 3,750 = l 75 l = 3, Write the volume formula. Substitute for V, w, and h. Simplify. Write a related division equation Apply the formula V = l w h to find volumes of rectangular prisms.

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**Apply the formula V = l w h to find volumes of rectangular prisms.**

GUIDED PRACTICE for Example 3 In Exercises 4 and 5, the solids are rectangular prisms. 4. The volume of a swimming pool is 3750 cubic meters. The pool is 25 meters wide and 3 meters deep. How long is the pool? SOLUTION V = lwh 3,750 = l 3,750 = l 75 l = 3, Write the volume formula. Substitute for V, w, and h. Simplify. Write a related division equation Simplify. Apply the formula V = l w h to find volumes of rectangular prisms.

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**Apply the formula V = l w h to find volumes of rectangular prisms.**

GUIDED PRACTICE for Example 3 In Exercises 4 and 5, the solids are rectangular prisms. 4. The volume of a swimming pool is 3750 cubic meters. The pool is 25 meters wide and 3 meters deep. How long is the pool? SOLUTION V = lwh 3,750 = l 3,750 = l 75 l = 3, l =50 Write the volume formula. Substitute for V, w, and h. Simplify. Write a related division equation Simplify. Apply the formula V = l w h to find volumes of rectangular prisms.

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**Apply the formula V = l w h to find volumes of rectangular prisms.**

GUIDED PRACTICE for Example 3 ANSWER The length of the pool is 50 meters. Apply the formula V = l w h to find volumes of rectangular prisms.

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**Apply the formula V = l w h to find volumes of rectangular prisms.**

GUIDED PRACTICE for Example 3 5. The volume of a bathtub is 16 cubic feet. The bathtub is 4 feet long and 2 feet wide. How deep is the bathtub? Apply the formula V = l w h to find volumes of rectangular prisms.

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**Apply the formula V = l w h to find volumes of rectangular prisms.**

GUIDED PRACTICE for Example 3 5. The volume of a bathtub is 16 cubic feet. The bathtub is 4 feet long and 2 feet wide. How deep is the bathtub? SOLUTION Apply the formula V = l w h to find volumes of rectangular prisms.

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**Apply the formula V = l w h to find volumes of rectangular prisms.**

GUIDED PRACTICE for Example 3 5. The volume of a bathtub is 16 cubic feet. The bathtub is 4 feet long and 2 feet wide. How deep is the bathtub? SOLUTION Write the volume formula. Apply the formula V = l w h to find volumes of rectangular prisms.

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**Apply the formula V = l w h to find volumes of rectangular prisms.**

GUIDED PRACTICE for Example 3 5. The volume of a bathtub is 16 cubic feet. The bathtub is 4 feet long and 2 feet wide. How deep is the bathtub? SOLUTION V = lwh Write the volume formula. Apply the formula V = l w h to find volumes of rectangular prisms.

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**Apply the formula V = l w h to find volumes of rectangular prisms.**

GUIDED PRACTICE for Example 3 5. The volume of a bathtub is 16 cubic feet. The bathtub is 4 feet long and 2 feet wide. How deep is the bathtub? SOLUTION V = lwh Write the volume formula. Substitute for V, w, and h. Apply the formula V = l w h to find volumes of rectangular prisms.

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**Apply the formula V = l w h to find volumes of rectangular prisms.**

GUIDED PRACTICE for Example 3 5. The volume of a bathtub is 16 cubic feet. The bathtub is 4 feet long and 2 feet wide. How deep is the bathtub? SOLUTION V = lwh 16 = h Write the volume formula. Substitute for V, w, and h. Apply the formula V = l w h to find volumes of rectangular prisms.

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**Apply the formula V = l w h to find volumes of rectangular prisms.**

GUIDED PRACTICE for Example 3 5. The volume of a bathtub is 16 cubic feet. The bathtub is 4 feet long and 2 feet wide. How deep is the bathtub? SOLUTION V = lwh 16 = h Write the volume formula. Substitute for V, w, and h. Simplify. Apply the formula V = l w h to find volumes of rectangular prisms.

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**Apply the formula V = l w h to find volumes of rectangular prisms.**

GUIDED PRACTICE for Example 3 5. The volume of a bathtub is 16 cubic feet. The bathtub is 4 feet long and 2 feet wide. How deep is the bathtub? SOLUTION V = lwh 16 = h 16 = 8 h Write the volume formula. Substitute for V, w, and h. Simplify. Apply the formula V = l w h to find volumes of rectangular prisms.

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**Apply the formula V = l w h to find volumes of rectangular prisms.**

GUIDED PRACTICE for Example 3 5. The volume of a bathtub is 16 cubic feet. The bathtub is 4 feet long and 2 feet wide. How deep is the bathtub? SOLUTION V = lwh 16 = h 16 = 8 h Write the volume formula. Substitute for V, w, and h. Simplify. Write a related division equation Apply the formula V = l w h to find volumes of rectangular prisms.

88
**Apply the formula V = l w h to find volumes of rectangular prisms.**

GUIDED PRACTICE for Example 3 5. The volume of a bathtub is 16 cubic feet. The bathtub is 4 feet long and 2 feet wide. How deep is the bathtub? SOLUTION V = lwh 16 = h 16 = 8 h h = Write the volume formula. Substitute for V, w, and h. Simplify. Write a related division equation Apply the formula V = l w h to find volumes of rectangular prisms.

89
**Apply the formula V = l w h to find volumes of rectangular prisms.**

GUIDED PRACTICE for Example 3 5. The volume of a bathtub is 16 cubic feet. The bathtub is 4 feet long and 2 feet wide. How deep is the bathtub? SOLUTION V = lwh 16 = h 16 = 8 h h = Write the volume formula. Substitute for V, w, and h. Simplify. Write a related division equation Simplify. Apply the formula V = l w h to find volumes of rectangular prisms.

90
**Apply the formula V = l w h to find volumes of rectangular prisms.**

GUIDED PRACTICE for Example 3 5. The volume of a bathtub is 16 cubic feet. The bathtub is 4 feet long and 2 feet wide. How deep is the bathtub? SOLUTION V = lwh 16 = h 16 = 8 h h = h = 2 Write the volume formula. Substitute for V, w, and h. Simplify. Write a related division equation Simplify. ANSWER The depth of the bathtub is 2 feet. Apply the formula V = l w h to find volumes of rectangular prisms.

91
**Apply the formula V = l w h to find volumes of rectangular prisms.**

SKILL PRACTICE for Lesson 10.7 8,000 cm³ 6,851 in.³ 330 in³ 0.45 km³ mm³ yd³ To get the volume, you multiply the length, width, and height, not add them. The correct answer is 420 ft³ Apply the formula V = l w h to find volumes of rectangular prisms.

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**Apply the formula V = l w h to find volumes of rectangular prisms.**

SKILL PRACTICE for Lesson 10.7 h = 2.5 ft w = 2 cm l = 20 m Apply the formula V = l w h to find volumes of rectangular prisms.

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**Find the volume of the prism. 1. 2.**

EXIT PASS For use after Lesson 10.7 Find the volume of the prism. 1. 2. 6750 m 3 ANSWER 31,320 cm 3 ANSWER 3. Find the volume of a rectangular prism that is feet by feet by feet. 7 8 3 ANSWER 168 ft 3 On a scale of 1 – 5, rate your understanding of the Learning Target: Apply the formula V = l w h to find volumes of rectangular prisms. 1 I don’t understand it at all 2 I understand it a little 3 I understand about half of it 4 I understand most of it 5 I understand all of it

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**Apply the formula V = l w h to find volumes of rectangular prisms.**

ANIMATED MATH for Lesson 10.7 Apply the formula V = l w h to find volumes of rectangular prisms.

95
**Apply the formula V = l w h to find volumes of rectangular prisms.**

LESSON QUIZ for Lesson 10.7 Complete the lesson quiz. Link Show me your results when you are finished. Apply the formula V = l w h to find volumes of rectangular prisms.

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