SOLUTION: Suppose that an open box is to be made from a square sheet of cardboard by cutting out a 3-inch squares from each corner then folding. If the box is to have a volume of 75 cubic i

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Question 1103820: Suppose that an open box is to be made from a square sheet of cardboard by cutting out a 3-inch squares from each corner then folding. If the box is to have a volume of 75 cubic inches, find the original dimensions of the sheet of cardboard.

Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
(fixed)



The 3 inch length also serves as height for the open box.
3%28x-2%2A3%29%28x-2%2A3%29=75

-
3%28x-6%29%5E2=75
%28x-6%29%5E2=75%2F3=25
x-6=sqrt%2825%29
x-6=5
highlight%28x=11%29

The original square cardboard was 11 inches on each side.