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A machine produces open boxes using square sheets of metal. The machine cuts equal-sized squares measuring 22 inches on a side from the corners and then shapes the metal into an open box by turning up the sides. If each box must have a volume of 7272 cubic inches, find the length and width of the open box.
A machine produces open boxes using square sheets of metal. The machine cuts equal-sized squares measuring 22 inches on a side from the corners and then shapes the metal into an open box by turning up the sides. If each box must have a volume of 72 cubic inches, find the length and width of the open box.
1 Answer
- SqdancefanLv 73 years ago
It looks like Yahoo has once again started repeating numbers. We assume you start with a square sheet and cut 2" squares from the corners. Thus, your box is 2" deep. Since it has a volume of 72 in^3, its area must be (72 in^3)/(2 in) = 36 in^2 = (6 in)^2.
The open box has a length and width of 6".
_____
The original flat sheet from which it is made is 10" square.
