The volume of a cube is $9261000 m^{3},$ find the side of the cube.

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Solution

Volume of cube $= 9261000 m^{3} ∴ S i d e = 3 \sqrt{V o l u m e} = 3 \sqrt{9261000} = 3 \sqrt{9261 \times 1000}$

$= 3 \sqrt{3 \times 3 \times 3 \times 7 \times 7 \times 7 \times 10 \times 10 \times 10} = 3 \sqrt{3^{3} \times 7^{3} \times 10^{3}} = 3 \times 7 \times 10 m = 210 m$

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