SOLUTION: A box is to be made out of a square piece of cardboard by cutting out 2 inch squares at each corner and folding up the sides. If the box has a volume of 162 inches cubed, how big w
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Question 1156438: A box is to be made out of a square piece of cardboard by cutting out 2 inch squares at each corner and folding up the sides. If the box has a volume of 162 inches cubed, how big was the piece of cardboard? Found 2 solutions by ikleyn, josgarithmetic:Answer by ikleyn(52835) (Show Source):
Let x be the original side measure of the square piece of cardboard.
After cutting 2 inch squares in each angle and folding sides up, the square base has the dimensions (x-2) inches.
So, the volume of the box is then V = 2*(x-4)*(x-4).
So, you have this equation
= 162.
From the equation,
= 162/2 = 81, x-4 = = 9, x = 9 + 4 = 13.
ANSWER. The original piece was 13 inches square cardboard.
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