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1. This document contains a math worksheet with 12 problems calculating the volumes of prisms and cylinders. 2. The problems provide the dimensions of objects and ask students to calculate their volumes to the nearest tenth, using a value of 3.14 for pi. 3. Sample answers are provided for some problems, including explanations of how tripling the height of a cylinder would triple its volume.
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- 1. Name Date Class TEKS 8.10.B LESSON Practice 8-5 Volume of Prisms and Cylinders Find the volume of each figure to the nearest tenth. Use 3.14 for . 1. 2. 6.5 cm 3. 13 m 22 in. 42 in. 22 in. 16 cm 13 m 13 m 4. 6 cm 5. 6. 10 m 45 cm 12 cm 15 cm 28 m 18 m 32 cm 7. 8. 9. 31 in. 14 m 14.3 ft 27 m 17 in. 14 m 14.3 ft 11 in. 14.3 ft 10. A cylinder has a radius of 6 ft and a height of 25 ft. Explain whether tripling the height will triple the volume of the cylinder. 11. Contemporary American building bricks are rectangular blocks with the standard dimensions of about 5.7 cm by 9.5 cm by 20.3 cm. What is the volume of a brick to the nearest tenth of a unit? 12. Ian is making candles. His cylindrical mold is 8 in. tall and has a base with a diameter of 3 in. Find the volume of a finished candle to the nearest tenth of a unit. Copyright © by Holt, Rinehart and Winston. All rights reserved. 60 Holt Mathematics
- 2. Name Date Class TEKS 8.10.B LESSON Practice 8-5 Volume of Prisms and Cylinders Find the volume of each figure to the nearest tenth. Use 3.14 for . 1. 2. 6.5 cm 3. 13 m 22 in. 42 in. 22 in. 16 cm 13 m 13 m 10,164 in3 2122.6 cm3 2197 m3 4. 6 cm 5. 6. 10 m 45 cm 12 cm 15 cm 28 m 18 m 32 cm 3240 cm3 2520 m3 22,608 cm3 7. 8. 9. 31 in. 14 m 14.3 ft 27 m 17 in. 14 m 14.3 ft 11 in. 14.3 ft 5797 in3 2646 m3 2924.2 ft3 10. A cylinder has a radius of 6 ft and a height of 25 ft. Explain whether tripling the height will triple the volume of the cylinder. Possible answer: The original cylinder has a volume of 2826 ft3. If you triple the height the volume is 8478 ft3, which is triple the original volume. 11. Contemporary American building bricks are rectangular blocks with the standard dimensions of about 5.7 cm by 9.5 cm by 20.3 cm. What is the volume of a brick to the nearest tenth of a unit? 1099.2 cm3 12. Ian is making candles. His cylindrical mold is 8 in. tall and has a base with a diameter of 3 in. Find the volume of a finished candle to the nearest tenth of a unit. 56.5 in3 Copyright © by Holt, Rinehart and Winston. All rights reserved. 60 Holt Mathematics