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### MEAP Preparation - Grade 7 Mathematics3.12 Volumes of Figures

 Volume is a measure of how much space a space figure takes up. Volume is used to measure a space figure just as area is used to measure a plane figure. Directions: Review the following table and answer the questions. Examples: The volume of a cube with side length 4 is 4 x 4 x 4 = 64. The volume of a rectangular prism with length 5, width 4 and height 2 is 5 x 4 x 2 = 40. The volume of a cylinder with radius 2 and height 4 is pi x 2 x 2 x 4 = 16 pi. The volume of a triangular prism with area of triangular base 8 and height 5 is 8 x 5 = 40. The volume of a cone with radius 2 and height 9 is pi x 2 x 2 x 9 x 1/3 = 12 pi. The volume of a sphere of radius 6 is pi x 6 x 6 x 6 x 4/3 = 288 pi. Directions: Answer the following questions. Also write at least 2 examples to find the volume of each kind of figure.
 Q 1: The volume of a cube with side length 3 cm is ____ cm3.Answer: Q 2: The volume of a cylinder with radius 3 and height 5 is ___. 15 pi50 pi45 pi Q 3: The volume of a sphere of radius 3 is _____ .36 pi18 pi30 pi Q 4: The volume of a cube with side 'a' is given byV = 3aV = a x a x aV = 3 x a Q 5: The volume of a cone with radius 2 and height 6 is ____. 70 pi8 pi12 pi Q 6: The volume of a rectangular prism with length 2 cm, width 3 cm and height 5 cm is ___ cubic cm .Answer: Question 7: This question is available to subscribers only! Question 8: This question is available to subscribers only!