1. Splash Screen

2. Lesson Menu Five-Minute Check (over Lesson 12–3) NGSSS Then/Now Key Concept : Volume of a Prism Example 1: Volume of a Prism Key Concept: Volume of a Cylinder Example 2: Volume of a Cylinder Key Concept: Cavalieri’s Principle Example 3: Volume of an Oblique Solid Example 4: Standardized Test Example

3. Over Lesson 12–3 A.A B.B C.C D.D 5-Minute Check 1 A.600 in 2 B.623.2 in 2 C.635.3 in 2 D.647.4 in 2 Find the surface area of the regular pyramid.

4. Over Lesson 12–3 A.A B.B C.C D.D 5-Minute Check 2 A.628.3 ft 2 B.642.3 ft 2 C.677.8 ft 2 D.753.9 ft 2 Find the surface area of the cone.

5. Over Lesson 12–3 A.A B.B C.C D.D 5-Minute Check 3 A.420 ft 2 B.480 ft 2 C.679.8 ft 2 D.710 ft 2 Find the surface area of the regular pyramid.

6. Over Lesson 12–3 A.A B.B C.C D.D 5-Minute Check 4 A.214.2 m 2 B.221.0 m 2 C.233.4 m 2 D.247.5 m 2 Find the surface area of the cone.

7. Over Lesson 12–3 A.A B.B C.C D.D 5-Minute Check 5 A.80 ft 2 B.200 ft 2 C.240 ft 2 D.260 ft 2 Find the surface area of a square pyramid with base length of 10 feet and slant height of 8 feet.

8. Over Lesson 12–3 A.A B.B C.C D.D 5-Minute Check 6 A.204.1 cm 2 B.282.7 cm 2 C.408.4 cm 2 D.722.6 cm 2 Find the lateral area of a cone with a diameter length of 10 centimeters and a slant height of 13 centimeters. Round your answer to the nearest tenth.

9. NGSSS MA.912.G.7.5 Explain and use formulas for lateral area, surface area, and volume of solids. MA.912.G.7.7 Determine how changes in dimensions affect the surface area and volume of common geometric solids.

10. Then/Now You found surface areas of prisms and cylinders. (Lesson 12–2) Find volumes of prisms. Find volumes of cylinders.

11. Concept

12. Example 1 Volume of a Prism Answer: The volume of the prism is 1500 cubic centimeters. V BhVolume of a prism 1500Simplify. Find the volume of the prism.

13. A.A B.B C.C D.D Example 1 A.6480 in 3 B.8100 in 3 C.3240 in 3 D.4050 in 3 Find the volume of the prism.

14. Concept

15. Example 2 Volume of a Cylinder Find the volume of the cylinder to the nearest tenth. Answer: The volume is approximately 18.3 cm 3. Volume of a cylinder ≈18.3Use a calculator. = (1.8) 2 (1.8)r = 1.8 and h = 1.8

16. A.A B.B C.C D.D Example 2 A.62.8 cm 3 B.628.3 cm 3 C.125.7 cm 3 D.1005.3 cm 3 Find the volume of the cylinder to the nearest tenth.

17. Concept

18. Example 3 Volume of an Oblique Solid Find the volume of the oblique cylinder to the nearest tenth. To find the volume, use the formula for a right cylinder. Answer: The volume is approximately 17,671.5 cubic feet. Volume of a cylinder Use a calculator. r 15, h 25

19. A.A B.B C.C D.D Example 3 A.1520.5 cm 3 B.16,725.8 cm 3 C.5324 cm 3 D.8362.9 cm 3 Find the volume of the oblique cylinder to the nearest tenth.

20. Example 4 Prisms A and B have the same width and height, but different lengths. If the volume of Prism B is 128 cubic inches greater than the volume of Prism A, what is the length of each prism? A12B8 C4D3.5 Prism APrism B

21. Example 4 Read the Test Item You know the volume of each solid and that the difference between their volumes is 128 cubic inches. Solve the Test Item Volume of Prism B – Volume of Prism A=128Write an equation. 4x ● 9 – 4x ● 5=128Use V = Bh. 16x=128Simplify. x=8Divide each side by 16. Answer: The length of each prism is 8 inches. The correct answer is B.

22. A.A B.B C.C D.D Example 4 A.4 in. B.6 in. C.8 in. D.10.5 in. Prisms A and B have the same width and height, but different lengths. If the volume of Prism B is 192 cubic inches greater than the volume of Prism A, what is the length of each prism? Prism A Prism B

23. End of the Lesson