SOLUTION: When the dimensions of a cube are reduced by 4 inches on each side, the surface area of the cube is 864 square inches. What were the demensions of the original cube?
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Question 693127: When the dimensions of a cube are reduced by 4 inches on each side, the surface area of the cube is 864 square inches. What were the demensions of the original cube? Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! When the dimensions of a cube are reduced by 4 inches on each side, the surface area of the cube is 864 square inches. What were the demensions of the original cube?
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Let the original dimensions be x*x*x
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With the new dimensions you have:
(x-4)^3 = 864
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x-4 = cbrt(864) = 2*cbrt(108)
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Dimension of original cube: x = [4+2cbrt(108)] inches
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Cheers,
Stan H.
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