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Volume of Prisms Lesson 17

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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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Target: Calculate the volume of prisms.

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

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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

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

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

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

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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!

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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.

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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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