SOLUTION: An open box with a volume of 144 cm ^ 3 can be made by cutting a square of the same size from each corner of a square piece of 14 cm on a side and folding up the edges of the tin.

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Question 1176832: An open box with a volume of 144 cm ^ 3 can be made by cutting a square of the same size from each corner of a square piece of 14 cm on a side and folding up the edges of the tin. What is the length of a side of the square that is cut from each corner?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Cut x at each corner and then after folding up the flaps,

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x%2814-2x%29%5E2=144
x%2A2%2A2%287-x%29%5E2=3%2A4%2A12
x%287-x%29%5E2=3%2A12
x%287-x%29%5E2=3%2A3%2A4=4%2A3%2A3--------comparing left and right members x=4 and 7-x should be 3.

highlight%28x=4%29