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Main Idea/Vocabulary volume cylinder composite solid Find the volumes of prisms and cylinders.

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KC

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Example 1 Find the Volumes of Prisms Find the volume of the rectangular prism. Answer: The volume is 385 cubic inches. Volume of a prism Simplify.

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1.A 2.B 3.C 4.D Example 1 A.90 in 3 B.120 in 3 C.126 in 3 D.148 in 3 Find the volume of the rectangular prism.

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Example 2 Find the Volumes of Prisms Find the volume of the triangular prism. Answer:The volume is 270 cubic feet. Volume of a prism Simplify. The height of the prism is 4. The base is a triangle, so B =

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1.A 2.B 3.C 4.D Example 2 A.22 ft 3 B.30 ft 3 C.37 ft 3 D.45 ft 3 Find the volume of the triangular prism.

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KC

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Example 3 Find the Volume of a Cylinder Find the volume of the cylinder. Round to the nearest tenth. Answer:The volume is about cubic centimeters. Volume of a cylinder Replace r with 3 and h with 12. V ≈ 339.3Simplify.

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1.A 2.B 3.C 4.D Example 3 A in 3 B in 3 C in 3 D in 3 Find the volume of the cylinder. Round to the nearest tenth.

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Example 4 TOYS A wooden block has a single hole drilled entirely through it. What is the volume of the block? Round to the nearest hundredth. The block is a rectangular prism with a cylindrical hole. To find the volume of the block, subtract the volume of the cylinder from the volume of the prism. Find the Volume of a Composite Solid

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Example 4 Answer:The volume of the box is about 72 – 9.42 or cubic centimeters. Find the Volume of a Composite Solid Rectangular PrismCylinder ≈

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1.A 2.B 3.C 4.D Example 4 A.98 in 3 B.104 in 3 C.112 in 3 D.115 in 3 HOBBIES A small wooden cube has been glued to a larger wooden block for a whittling project. What is the volume of the wood to be whittled?

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1.A 2.B 3.C 4.D Five Minute Check 1 A.plane EFGH B.plane DHGF C.plane BCGH D.plane ABCE In the figure shown, identify a plane parallel to plane ABCD. (over Lesson 7-4)

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1.A 2.B 3.C 4.D Five Minute Check 2 (over Lesson 7-4) A.AH B.DE C.FG D.EG In the figure shown, identify a line skew to AB.

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1.A 2.B 3.C 4.D Five Minute Check 3 A.points E and F B.points A and B C.points A and E D.points E and C In the figure shown, identify two points that form a diagonal when connected. (over Lesson 7-4)

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1.A 2.B 3.C 4.D Five Minute Check 4 A.cube; 6 faces, all squares; 12 edges; 8 vertices B.cube; 4 faces, all squares; 12 edges; 8 vertices C.cube; 4 faces, all squares; 8 edges; 12 vertices D.cube; 6 faces, all squares; 8 edges; 12 vertices Identify the solid shown. Name the number and shapes of the faces. Then name the number of edges and vertices. (over Lesson 7-4)

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1.A 2.B 3.C 4.D Five Minute Check 5 A.rectangular prism; 4 faces, all rectangles; 12 edges; 8 vertices B.rectangular prism; 4 faces, all rectangles; 8 edges; 12 vertices C.rectangular prism; 6 faces, all rectangles; 12 edges; 8 vertices D.rectangular prism; 6 faces, all rectangles; 8 edges; 12 vertices Identify the solid shown. Name the number and shapes of the faces. Then name the number of edges and vertices. (over Lesson 7-4)

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1.A 2.B 3.C 4.D Five Minute Check 6 A.face B.vertex C.base D.edge Which of the following is represented by a point? (over Lesson 7-4)

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