Question 1114845
Small squares with sides 4 cm were cut from each of the corners of a square piece of cardboard. Then it was folded into an open-top box. Find the original dimensions of the square piece of cardboard if the volume of this box is 144 cm^3. 
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Area of original square:: x^2
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Area of base of box:: (x-8)^2
height of box:: 4 cm
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Equation:
4(x-8)^2 = 144 cm^3
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(x-8)^2 = 26
x-8 = sqrt(26)
x = 8+sqrt(26)
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Answer:: original dimensions are 8+sqrt(26) squared
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Cheers,
Stan H.
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