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Chapter 12.4 and 12.5

Chapter 12.4 and 12.5. Volume of Prisms, Cylinders, Pyramids, and Cones. Volume. Volume of a solid is the measure of the amount of space the solid encloses. Volume is measured in cubic units. Concept. Volume of a Prism. Example 1. Find the volume of the prism.

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Chapter 12.4 and 12.5

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  1. Chapter 12.4 and 12.5 Volume of Prisms, Cylinders, Pyramids, and Cones

  2. Volume • Volume of a solid is the measure of the amount of space the solid encloses. • Volume is measured in cubic units.

  3. Concept

  4. Volume of a Prism Example 1 Find the volume of the prism. Answer: The volume of the prism is 1500 cubic centimeters.

  5. Example 1 Find the volume of the prism. A. 6480 in3 B. 8100 in3 C. 3240 in3 D. 4050 in3

  6. Concept

  7. Volume of a Cylinder Example 2 Find the volume of the cylinder to the nearest tenth. Answer: The volume is approximately 18.3 cm3.

  8. Example 2 Find the volume of the cylinder to the nearest tenth. A. 62.8 cm3 B. 628.3 cm3 C. 125.7 cm3 D. 1005.3 cm3

  9. Volume of an Oblique Solid Example 3 Find the volume of the oblique cylinder to the nearest tenth. Answer: The volume is approximately 17,671.5 cubic feet.

  10. Example 3 Find the volume of the oblique cylinder to the nearest tenth. A. 1520.5 cm3 B. 16,725.8 cm3 C. 5324 cm3 D. 8362.9 cm3

  11. Comparing Volumes of Solids 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? Prism A Prism B A 12 B 8 C 4 D 3.5

  12. Example 4 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? A. 4 in. B. 6 in. C. 8 in. D. 10.5 in. Prism A Prism B

  13. Concept

  14. Volume of a Pyramid Example 1 Find the volume of the square pyramid. Answer: The volume of the pyramid is 21 cubic inches.

  15. A.416 ft3 B. C. D. Example 1 Brad is building a model pyramid for a social studies project. The model is a square pyramid with a base edge of 8 feet and a height of 6.5 feet. Find the volume of the pyramid.

  16. Concept

  17. Volume of a Cone Example 2A A. Find the volume of the oblique cone to the nearest tenth.

  18. Volume of a Cone Example 2B B. Find the volume of the cone to the nearest tenth.

  19. Example 2A A. Find the volume of the oblique cone to the nearest tenth. A. 444.4 m3 B. 27,463.2 m3 C. 3051.5 m3 D. 9154.4 m3

  20. Example 2B B. Find the volume of the cone to the nearest tenth. A. 3015.9 m3 B. 125.7 m3 C. 1005.3 m3 D. 251.3 m3

  21. Find Real-World Volumes Example 3 SCULPTUREAt the top of a stone tower is a pyramidion in the shape of a square pyramid. This pyramid has a height of 52.5 centimeters and the base edges are 36 centimeters. What is the volume of the pyramidion? Round to the nearest tenth. Answer: The volume of the pyramidion is 22,680 cubic centimeters.

  22. Example 3 SCULPTUREIn a botanical garden is a silver pyramidion in the shape of a square pyramid. This pyramid has a height of 65 centimeters and the base edges are 30 centimeters. What is the volume of the pyramidion? Round to the nearest tenth. A. 18,775 cm3 B. 19,500 cm3 C. 20,050 cm3 D. 21,000 cm3

  23. Concept

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