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

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

Find the volume of the rectangular prism. A. 90 in3 B. 120 in3 C. 126 in3 D. 148 in3 A B C D Example 1

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

Find the volume of the triangular prism. A. 22 ft3 B. 30 ft3 C. 37 ft3 D. 45 ft3 A B C D Example 2

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

Find the volume of the cylinder. Round to the nearest tenth. A. 140.1 in3 B. 152.5 in3 C. 169.6 in3 D. 183.4 in3 A B C D Example 3

Find the Volume of a Composite Solid 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. Example 4

Find the Volume of a Composite Solid Rectangular Prism Cylinder ≈ Answer: The volume of the box is about 72 – 9.42 or 62.58 cubic centimeters. Example 4

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? A. 98 in3 B. 104 in3 C. 112 in3 D. 115 in3 A B C D Example 4

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

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

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

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

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

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

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