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Published byCori Christina Reynolds Modified over 6 years ago

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Find the surface area of a rectangular prism with length of 6 inches, width of 5 inches, and height of 4.5 inches. Round to the nearest tenth. Find the surface area of a cone with slant height of 4.3 centimeters and radius of 3.5 centimeters. Round to the nearest tenth. Find the surface area of a hemisphere with radius of 6 meters. Round to the nearest tenth. The surface area of a sphere is 36 square units. What is the radius of the sphere? Lesson 1 Menu

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**Find volumes of cylinders.**

Find volumes of prisms. Find volumes of cylinders. Lesson 1 MI/Vocab

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Lesson 1 KC1

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**Volume of a Triangular Prism**

Find the volume of the triangular prism. V Bh Volume of a prism 1500 Simplify. Answer: The volume of the prism is 1500 cubic centimeters. Lesson 1 Ex1

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**Find the volume of the triangular prism.**

A in3 B in3 C in3 D in3 A B C D Lesson 1 CYP1

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**First, convert feet to inches.**

The weight of water is pounds times the volume of water in cubic inches. How many pounds of water would fit into a rectangular child’s pool that is 12 inches deep, 3 feet wide, and 4 feet long? First, convert feet to inches. Lesson 1 Ex2

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**20,736 The volume is 20,736 cubic inches.**

To find the pounds of water that would fit into the child’s pool, find the volume of the pool. V Bh Volume of a prism 36(48)(12) B 36(48), h 12 20,736 The volume is 20,736 cubic inches. Now multiply the volume by 20,736 × ≈ Simplify. Answer: A rectangular child’s pool that is 12 inches deep, 3 feet wide, and 4 feet long, will hold about pounds of water. Lesson 1 Ex2

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**The weight of water is 62. 4 pounds per cubic foot**

The weight of water is 62.4 pounds per cubic foot. How many pounds of water would fit into a back yard pond that is rectangular prism 3 feet deep, 7 feet wide, and 12 feet long? A. 252 lb B. 17,971.2 lb C. 16,178.4 lb D. 15,724.8 lb A B C D Lesson 1 CYP2

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Lesson 1 KC2

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**A. Find the volume of the cylinder to the nearest tenth.**

Volume of a Cylinder A. Find the volume of the cylinder to the nearest tenth. Volume of a cylinder = π(1.8)2(1.8) r = 1.8, and h = 1.8 ≈ 18.3 Use a calculator. Answer: The volume is approximately 18.3 cm3. Lesson 1 Ex3

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**B. Find the volume of the cylinder to the nearest tenth.**

Volume of a Cylinder B. Find the volume of the cylinder to the nearest tenth. The diameter of the base, the diagonal, and the lateral edge of the cylinder form a right triangle. Use the Pythagorean Theorem to find the height. Pythagorean Theorem a h, b 8, and c 17 Multiply. Lesson 1 Ex3

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**Subtract 64 from each side.**

Volume of a Cylinder Subtract 64 from each side. h 15 Take the square root of each side. Now find the volume. Volume of a cylinder r 4 and h 15 Use a calculator. Answer: The volume is approximately cubic feet. Lesson 1 Ex3

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**A. Find the volume of the cylinder to the nearest tenth.**

A cm3 B cm3 C cm3 D cm3 A B C D Lesson 1 CYP3

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**B. Find the volume of the cylinder to the nearest tenth.**

A m3 B m3 C m3 D. 18,849.6 m3 A B C D Lesson 1 CYP3

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Lesson 1 KC3

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**Volume of an Oblique Solid**

Find the volume of the oblique cylinder to the nearest tenth. To find the volume, use the formula for a right cylinder. Volume of a cylinder r 15, h 25 Use a calculator. Answer: The volume is approximately 17,671.5 cubic feet. Lesson 1 Ex4

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**Find the volume of the oblique cylinder to the nearest tenth.**

A cm3 B. 16,725.8 cm3 C cm3 D cm3 A B C D Lesson 1 CYP4

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