A box with no top that has a volume of 1000 cubic inches is to be constructed from a 22 x 30-inch sheet of cardboard by cutting squares of equal size from each corner and folding up the flaps. If one of the dimensions has to be greater than 18 inches, what size square should be cut from each corner?

Question

Mathematics

Celeste

26 January, 20:46

A box with no top that has a volume of 1000 cubic inches is to be constructed from a 22 x 30-inch sheet of cardboard by cutting squares of equal size from each corner and folding up the flaps. If one of the dimensions has to be greater than 18 inches, what size square should be cut from each corner?

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Answers (2)

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Camilla Pollard · Answer 1

card board is 22 x 30

cut a square out of each corner so you have

volume = l x w x h

height of the side will equal the size of the square you cut out which is x

so volume = x * (22-2x) * (30-2x)

volume = 1000

so

1000 = x * (22-2x) * (30-2x)

x = 2.234

square is 2.234 by 2.234

Rowan Hunter · Answer 2

4.658in (This is using a graphing calculator)