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# Volume definitions and examples

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### Volume definitions and examples

1. 1. Volume<br />8th Grade Math<br />Definitions and Examples<br />
2. 2. Cube & Rectangular Prism<br />Volume = l x w x H<br />
3. 3. Triangular Prism<br />Volume = ½ b x h x H<br />H = how tall the figure is<br />
4. 4. Cylinder<br />Volume = πx r2x H<br />H = how tall the figure is<br />
5. 5. Rectangular Pyramid<br />Volume = l x w x H ÷ 3<br />H = how tall the figure is<br />
6. 6. Cone<br />Volume = π x r2 x H÷ 3<br />H = how tall the figure is<br />
7. 7. Sphere<br />Volume = 4/3 x π x r3<br />
8. 8. Triangular Pyramid<br />Volume = ½ b x h x H ÷ 3<br />H = how tall the figure is<br />
9. 9. Find the Volume<br />6<br />13<br />
10. 10. Volume of Cylinder<br />Volume = π x 62x 13<br />1470.27 cubic units<br />6<br />13<br />
11. 11. Find the Volume<br />7<br />8<br />12<br />
12. 12. Volume of a Triangular Prism<br />Volume = ½ 12 x 8 x 7<br />336 cubic units<br />7<br />8<br />12<br />
13. 13. Find the volume<br />18<br />20<br />7<br />6<br />
14. 14. Volume of a triangular pyramid<br />Volume = ½ 6 x 7 x 18 ÷ 3<br />126 cubic units<br />18<br />20<br />7<br />6<br />
15. 15. Find the volume<br />10<br />8<br />6<br />12<br />
16. 16. Volume of a trapezoidal prism<br />Volume = ½ 8 x (10 + 12) x 6<br />528 cubic units<br />10<br />8<br />6<br />12<br />
17. 17. Find the Volume<br />8<br />5<br />
18. 18. Volume of the cone<br />Volume = π x 52x 8 ÷ 3<br />209.44 cubic units<br />8<br />5<br />
19. 19. Application of Volume ?’s<br />
20. 20. Camping<br />A camping tent has a triangular end that measures 8 feet at the base and is 5 feet tall. The length of the tent is 6 ½ feet. What is the volume of the tent?<br />
21. 21. Camping Solution<br />Volume = ½ 8 x 5 x 6.5<br />130 cubic feet<br />6.5<br />5<br />8<br />
22. 22. Entertainment Center<br />The inside of Ben’s entertainment center measures 16 inches by 18 inches by 40 inches. Ben estimates that he needs at least 7 cubic feet to fit the new Plasma T.V. Is there enough room to fit the T.V.?<br />
23. 23. Entertainment Center Solution<br />40 x 16 x 18 <br />11520 inches cubed, but we want cubic feet.<br />12 inches in a foot cubed = 1728 feet.<br />11520 ÷ 1728 = 6 2/3 feet cubed; not enough room<br />40<br />18<br />16<br />
24. 24. Least to Greatest Volume<br />A cone and a cylinder each have a diameter of 10 cm. A prism and a pyramid each have square bases that are 10 cm. on a side. All of the solids have a height of 8 cm. Order the solids according to their volume from least to greatest.<br />
25. 25. Least to Greatest Volume Solution<br />Cone, Square Pyramid, Cylinder, Square Prism<br />π x 52 x 8 ÷ 3<br />209.44<br />8<br />10 x 10 x 8 ÷ 3<br />266.67<br />8<br />10<br />5<br />10<br />5<br />8<br />10 x 10 x 8<br />800<br />π x 52 x 8 <br />628.32<br />8<br />10<br />10<br />
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