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Question

Find the volume of a cubical box whose surface area is 486 cm2.

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Solution

We know that surface area of cube is 6l2.

It is given that the surface area of cube is 486 cm2, therefore,

486=6l2l2=4866l2=81l=81l=9

Now, the volume of the cube is l3, therefore, the volume with length l=9 is:

V=93=729

Hence, the volume of the cube is 729 cm3.



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