There is a cube with a length 3x. The expression for the volume in cubic centimeters is equal to the expression for the surface area in square centimeters. Calculate the length of a side of the cube.
volume = SA (3x)3 = (3x)2 x 6 27x3 = 9x2 x 6 27x3 = 54x2 27x = 54 27x - 54 = 0 27(x - 2) = 0 x - 2 = 0 x = 2 The question asks for the length which we are told is 3x: length => 3x = 3 x 2 = 6cm.
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