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Lesson Menu Five-Minute Check (over Lesson 12-1) Then/Now New Vocabulary Key Concept: Volume of a Prism Example 1:Find the Volume of a RectangularExample 1:Find the Volume of a Rectangular PrismPrism Example 2: Volume of a Triangular Prism Example 3: Real-World Example: Find the Missing Length Example 4: Standardized Test Example

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Over Lesson 12–1 5-Minute Check 1 A.rectangle B.rectangular pyramid C.cube D.rectangular prism Identify the figure.

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Over Lesson 12–1 5-Minute Check 2 A.PTUQ B.PTWS C.STUV D.SWVR Which is not a face of the figure?

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Over Lesson 12–1 5-Minute Check 3 Which is not an edge on the figure? A.PT B.ST C.SW D.TU ___

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Over Lesson 12–1 5-Minute Check 4 A.P, S, R, Q, T, W, V, U B.P, R, Q, T, V, U C.P, S, R, Q, T, W D.S, R, T, W, V, U Which is the correct list of all the vertices?

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Over Lesson 12–1 5-Minute Check 5 A.No, a cone has a curved surface. B.No, a cone has a flat surface. C.Yes, a cone has a curved surface. D.Yes, a cone has a flat surface. Is a cone a polyhedron?

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Over Lesson 12–1 5-Minute Check 6 A.circle B.rectangle C.parallellogram D.oval Describe the shape resulting from an angled cross section of the cylinder.

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Then/Now You have already found the areas of rectangles and triangles. (Lesson 5–1) Find volumes of prisms. Find volumes of composite figures.

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Vocabulary volume

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Concept

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Example 1 Find the Volume of a Rectangular Prism Find the volume of the rectangular prism. V=BhFormula for volume of a prism V=(ℓ ● w)hThe base is a rectangle, so B = ℓ ● w. V=(25 ● 16)8ℓ = 25, w = 16, h = 8 V=3200Simplify. Answer: The volume is 3200 cubic centimeters.

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Example 1 CYP A.11.5 ft 3 B.22.5 ft 3 C.45 ft 3 D.81 ft 3 Find the volume of the prism.

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Example 2 Volume of a Triangular Prism Find the volume of the triangular prism. The height of the prism is 3 in. Answer: The volume is 15 cubic inches. V=BhFormula for volume of a prism V = 15Simplify. The base is a triangle, so.

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Example 2 A.33.5 ft 3 B.30 ft 3 C.15 ft 3 D.10.5 ft 3 Find the volume of the triangular prism.

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Example 3 Find the Missing Length BAKING Cake batter is poured into a pan that is a rectangular prism with an 8-inch square base. If the cake batter occupies 192 cubic inches, what will be the height of the batter? Answer: The height of the batter is 3 inches. V=BhFormula for volume of a prism V= ℓ ● w ● hReplace B with ℓ ● w. 192=8 ● 8 ● hReplace V with 192, ℓ with 8, and w with 8. 192=64hSimplify. 3=hDivide each side by 64.

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Example 3 A.2 feet B.4 feet C.8 feet D.30 feet SWIMMING POOLS A swimming pool is filled with 960 cubic feet of water. The pool is a rectangular prism 20 feet long and 12 feet wide and is the same depth throughout. Find the depth of the water.

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Example 4 Find the volume of the solid. A. 262 m 3 B. 972 m 3 C. 918 m 3 D. 1458 m 3 Read the Test Item The solid is made up of a rectangular prism and a triangular prism. The volume of the solid is the sum of both volumes.

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Example 4 Rectangular Prism Triangular Prism V = ℓwh V = Bh Answer: The answer is D. Solve the Test Item V = 972 V = 486 The volume of the figure is 972 + 486 or 1458 cubic meters. V = 12 ● 9 ● 9

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Example 4 A.1492 in 3 B.932 in 3 C.896 in 3 D.718 in 3 Find the volume of the solid.

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End of the Lesson

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