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This solution should be right assuming length refers to the dimension that is not part of the square side:
V = 125
125 = L x W2
W2 = 125 / L
W = (125 / L)1/2

C = 5W2 + 2(4 x L x W)
C = (625 / L) + 8L(125 / L)1/2

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Q: A box with no top has a square base and a volume of 125m3 If the material for the bottom costs 5 per square meter and 2 per square meter for the sides express the cost as a function of the length?
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