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Splash Screen. Five-Minute Check (over Lesson 7–4) Main Idea and Vocabulary Key Concept: Volume of a Prism Example 1: Find the Volumes of Prisms Example 2: Find the Volumes of Prisms Key Concept: Volume of a Cylinder Example 3: Find the Volume of a Cylinder

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  1. Splash Screen

  2. Five-Minute Check (over Lesson 7–4) Main Idea and Vocabulary Key Concept: Volume of a Prism Example 1: Find the Volumes of Prisms Example 2: Find the Volumes of Prisms Key Concept: Volume of a Cylinder Example 3: Find the Volume of a Cylinder Example 4: Find the Volume of a Composite Solid Lesson Menu

  3. Find the volumes of prisms and cylinders. • volume: measure of the space occupied by a solid • cylinder: solid with bases that are congruent, parallel circles • composite solid: objects made up of more than one type of solid Main Idea/Vocabulary

  4. KC

  5. KC

  6. 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

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

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

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

  10. 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

  11. A B C D 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 Example 3

  12. 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

  13. ≈ 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

  14. A B C D 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 Example 4

  15. End of the Lesson End of the Lesson

  16. Five-Minute Check (over Lesson 7–4) Image Bank Math Tools Volume of Pyramids, Cones, and Spheres Making a Pyramid Surface Area of Prisms Resources

  17. A B C D (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 Five Minute Check 1

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

  19. A B C D (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 Five Minute Check 3

  20. A B C D (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 Five Minute Check 4

  21. A B C D (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 Five Minute Check 5

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

  23. End of Custom Shows

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