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### Grade 7 - Mathematics9.59 Volume of the Cube - II

 Example: The total surface area of cube is 216 sq cm. Find its volume. Solution: Let the edge of the cube is s cm. Then its total surface area is 6s2 sq cm. Hence 6s2 = 216 s2 = 36 s = square root of 36 Therefore s = 6 The volume of the cube = s3 s3 = 63 = 216 cubic centimeters. Directions: Read the above example carefully and answer the following questions. Also write at least ten examples of your own.
 Q 1: The total surface area of cube is 216x2 sq cm. Find its volume.216x2 cubic centimeters216x3 cubic centimeters36x2 cubic centimeters36x3 cubic centimeters Q 2: The total surface area of cube is 294 sq cm. Find its volume.None of these334 cubic centimeters343 cubic centimeters433 cubic centimeters Q 3: The total surface area of cube is 24 sq cm. Find its volume.6 cubic centimeters16 cubic centimeters18 cubic centimeters8 cubic centimeters Q 4: Find the total surface area of a cube if its volume is given by 64 cubic centimeters.56 square centimeters96 square centimeters66 square centimeters54 square centimeters Q 5: The total surface area of cube is 37.5 sq cm. Find its volume.18.625 cubic centimeters19.625 cubic centimeters15.625 cubic centimeters19 cubic centimeters Q 6: The total surface area of cube is 486 sq cm. Find its volume.700 cubic centimetersNone of these729 cubic centimeters749 cubic centimeters Q 7: The total surface area of cube is 181.5 sq cm. Find its volume.166.375 cubic centimetersNone of these163.375 cubic centimeters168.375 cubic centimeters Q 8: Find the total surface area of a cube if its volume is given by 91.125 cubic centimeters.121.05 square centimeters181.12 square centimeters191.25 square centimeters281.25 square centimeters Question 9: This question is available to subscribers only! Question 10: This question is available to subscribers only!