SOLUTION: Each dimension of a cube has been increased to twice its original size. If the new cube has a volume of 64,000 cm³, what is the area of one face of the original cube? Show your wo
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Question 1064722: Each dimension of a cube has been increased to twice its original size. If the new cube has a volume of 64,000 cm³, what is the area of one face of the original cube? Show your work Answer by rothauserc(4718) (Show Source):
You can put this solution on YOUR website! let x be the length of 1 side of our cube, then
:
2x is the length of a side of the new cube and
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2x * 2x * 2x = 64000
:
8 * x^3 = 64000
:
x^ 3 = 8000
:
x = cube root(8000) = 20
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the area of one face of the original cube is
20 * 20 = 400 cm^2
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