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15 July, 14:59

For the cube, x represents a positive whole number. Find the value of x such that the volume of the cube and 6 times the area of one of its faces have the same value.

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  1. 15 July, 15:05
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    1. Since this is a cube, I believe it must have the same value of 6.

    How? See this formula:

    Volume of cube = x3 or x * x * x

    To get the are = X2 or x*x

    Now let’s find the value of x in where the volume of the cube and 6 times the area of its faces have the same value according to the problem:

    x3 - 6x2 = 0

    x2 - (x - 6) = 0 Subtract 6x2 on both sides.

    Thus, x = 6
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