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3. The volume of a cube is 614.125 m3. Find the length of its each side.

4. Check whether 5324 is a perfect cube or not. If not, find the smallest number by which it should be multiplied so that the product is a perfect cube.

Dear Student.

3- Since volume of cube=(side)3Given volume=614.125 m3=>(side)3=614.125side=614.1253=8.5 m4-Factorising 5324, we get 4×11×11×11=4×113Clearly 113 is a perfect cube but 4 is not. It is not a perfect cube.hence it should be multiplie by 42 such that 4×42=42 is a perfect cube.Now both 43 and 113 are perfect cube, hence 43×113 is a perfect cube.

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