 # Volume of Prisms Lesson 17. Find the area of each figure. 1. 2. 3. 4. What do you know about volume? List at least 3 things.

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Volume of Prisms Lesson 17

Find the area of each figure. 1. 2. 3. 4. What do you know about volume? List at least 3 things.

Target: Calculate the volume of prisms.

 Volume: The number of cubic units needed to fill a solid.

The volume of a prism is equal to the product of the area of the base (B) and the height (h). Volume = (area of the base)(height) V = Bh

Find the volume of the prism.  V = Bh  V = (6 4)(12)  V = (24)(12)  V = 288  Volume = 288 cm³

Find the volume of the prism. The base area is 41 cm 2.  V = Bh  V = (41)(10)  V = 410  Volume = 410 cm³

Find the volume of the prism.  V = Bh  V = ( 8 3)(5.7)  V = (12)(5.7)  V = 68.4  Volume = 68.4 m³

Mischa can buy her favorite laundry detergent in two different shaped containers. One container is a triangular prism with a base area of 15 square inches and a height of 6 inches. She can also buy the detergent in a rectangular prism container with a length of 5 inches, a width of 4 inches and a height of 4.5 inches. Which container has the most volume?  Triangular box V = Bh V = (15)(6) = 90 V = Bh V = (5 4)(4.5) = (20)(4.5) = 90 Rectangular box Both boxes are the same size – 90 cubic inches!

1. Find the volume of the prism. 2. A cereal box is a rectangular prism. It is 10 inches long, 14 inches tall and 3 inches wide. Find the volume of the cereal box.

 What type of prism is easiest for you to find the volume of? What type of prism is most difficult for you to find the volume of? Explain.  Explain how the formula on the Oregon State Assessment Formula sheet (lwh) and Bh are the same.

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