A box with a square base and no top is to be made from a square piece of carboard by cutting 3 in. squares

square-piece
carboard

#1

A box with a square base and no top is to be made from a square piece of carboard by cutting 3 in. squares from each corner and folding up the sides. The box is to hold 13872 in^3. How big a piece of cardboard is needed? 74in. x ?in.

Answer:

It is clearly mentioned that a box is to be made from a square piece of cardboard.
Let x be the side of the square cardboard.
3 in is cut from the corners of the square.
So the side of the cardboard after cutting = x - 3 - 3 = x-6
now calculate the volume of the square box.
volume = l * b * h
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