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The volume of a cube with positive side length is numerically equal to the surface area of a cube( though they will have different units) what is the volume of cube? DETAILS AND ASSUMPTIONS The cube has positive length it does not have 0 volume


The answer is 216.

Kutumbaka Jaswanth by Kutumbaka Jaswanth , 24, India

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1 solution

The volume of a cube of side x x is x 3 x^3 and the surface area is 6 x 2 6x^2 . Since they are numerically equal, we have

x 3 = 6 x 2 x^3=6x^2

x = 6 x=6

Therefore the volume is x 3 = 6 3 = x^3=6^3= 216 \boxed{216} .

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