2. VOLUME

3. Volume – the amount of space, measured in cubic units, that an object or substance occupies. object

4. Volume of a Cube: V = s 3 V = s 3 = (5 ft.) 3 = 125 ft. 3

5. Volume of a Rectangular Prism: V = l x w x h 10 cm 6 cm 5 cm V = (6cm) (5cm) (10cm) = 300 cm 3

7. Volume of a Pyramid: V = 1/3 Bh A pyramid has a square base of side 4 cm and a height of 9 cm. Find its volume. V = 1/3 Bh = 1/3 (4cm) 2 (9cm) = 1/3 (144 cm 3 ) = 48 cm 3

8. Volume of Cylinder : V = π r 2 h Find the volume of a cylindrical canister with radius 7 cm and height 12 cm. cm 3

10. Volume of a Cone: V = 1/3 π r 2 h Calculate the volume if r = 2 cm and h = 3 cm V cone = 1/3 × 3.14 × 2 2 × 3 V cone = 1/3 × 3.14 × 4 × 3 V cone = 1/3 × 3.14 × 12 V cone = 1/3 × 37.68 V cone = 1/3 × 37.68/1 V cone = (1 × 37.68)/(3 × 1) V cone = 37.68/3 V cone = 12.56 cm 3

12. Volume of a Sphere: V = 4/3 π r 3 Find the volume of a sphere of radius 9.6 m, rounding your answer to two decimal places. m3m3

13. E IL CU D

14. "What is the volume of a sphere whose diameter is 10 units ?" E

15. Calculate the volume of a cone if the height is 12 cm and the radius is 7 cm. U

16. The side length of cube is 24 cm. Find the volume of the cube. C

17. Calculate the volume (in cubic centimeters) of a prism that is 5 m long, 40 cm wide and 2500 mm high.prism L

18. A rectangular pyramid has a height of 10 meters. If the sides of the base measure 3 meters and 5 meters, what is the volume of the pyramid? I

19. A soup can has a diameter of 10 cm and a height of 15 cm. What is the volume of the can? D