# SOLUTION: A box without a top is to be made by cutting squares measuring 8 cm on a side from each corner of a square piece of tin and folding up the sides. Find the dimensions of the box, i

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 Question 181942: A box without a top is to be made by cutting squares measuring 8 cm on a side from each corner of a square piece of tin and folding up the sides. Find the dimensions of the box, if it is to have a volume of 9248cm cubed. Answer by nerdybill(6963)   (Show Source): You can put this solution on YOUR website!A box without a top is to be made by cutting squares measuring 8 cm on a side from each corner of a square piece of tin and folding up the sides. Find the dimensions of the box, if it is to have a volume of 9248cm cubed. . Your best bet is to draw a diagram of the problem and jot down all the information provided. It'll help you "see" the problem better. . Let x = length of one side of square piece of tin then length = width = x-2(8) = x-16 height = 8 . (x-16)(x-16)8 = 9248 (x-16)(x-16) = 1156 x^2 - 32x + 256 = 1156 x^2 - 32x - 900 = 0 (x+18)(x-50) = 0 x = {-18, 50} Tossing out the negative value we have: x = 50 cm . width = x-16 = 50-16 = 34 cm length = x-16 = 50-16 = 34 cm height = 8 cm . Dimensions of box: 34 cm X 34 cm X 8 cm