1. Volume 8th Grade Math Definitions and Examples

2. Cube & Rectangular Prism Volume = l x w x H

3. Triangular Prism Volume = ½ b x h x H H = how tall the figure is

4. Cylinder Volume = πx r2x H H = how tall the figure is

5. Rectangular Pyramid Volume = l x w x H ÷ 3 H = how tall the figure is

6. Cone Volume = π x r2 x H÷ 3 H = how tall the figure is

7. Sphere Volume = 4/3 x π x r3

8. Triangular Pyramid Volume = ½ b x h x H ÷ 3 H = how tall the figure is

9. Find the Volume 6 13

10. Volume of Cylinder Volume = π x 62x 13 1470.27 cubic units 6 13

11. Find the Volume 7 8 12

12. Volume of a Triangular Prism Volume = ½ 12 x 8 x 7 336 cubic units 7 8 12

13. Find the volume 18 20 7 6

14. Volume of a triangular pyramid Volume = ½ 6 x 7 x 18 ÷ 3 126 cubic units 18 20 7 6

15. Find the volume 10 8 6 12

16. Volume of a trapezoidal prism Volume = ½ 8 x (10 + 12) x 6 528 cubic units 10 8 6 12

17. Find the Volume 8 5

18. Volume of the cone Volume = π x 52x 8 ÷ 3 209.44 cubic units 8 5

19. Application of Volume ?’s

20. Camping 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?

21. Camping Solution Volume = ½ 8 x 5 x 6.5 130 cubic feet 6.5 5 8

22. Entertainment Center 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.?

23. Entertainment Center Solution 40 x 16 x 18 11520 inches cubed, but we want cubic feet. 12 inches in a foot cubed = 1728 feet. 11520 ÷ 1728 = 6 2/3 feet cubed; not enough room 40 18 16

24. Least to Greatest Volume 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.

25. Least to Greatest Volume Solution Cone, Square Pyramid, Cylinder, Square Prism π x 52 x 8 ÷ 3 209.44 8 10 x 10 x 8 ÷ 3 266.67 8 10 5 10 5 8 10 x 10 x 8 800 π x 52 x 8 628.32 8 10 10