Suppose that an open box is to be made from a square sheet of cardboard by cutting out squares from each corner as shown and then folding along the dotted lines. If the box is to have a volume of 384 cubic inches, find the original dimensions of the sheet of cardboard.

Question

Mathematics

Ali Buchanan

3 October, 11:01

Suppose that an open box is to be made from a square sheet of cardboard by cutting out squares from each corner as shown and then folding along the dotted lines. If the box is to have a volume of 384 cubic inches, find the original dimensions of the sheet of cardboard.

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Answers (1)

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Jeffrey Hoffman · Answer 1

The volumes will be x times x times 6 as the box is 6 high and will be x squared. The volumes will also equal 384.

The volume of the box will b x time x times 6 as the box is 6 high and will x squared. The will be equal to 384.

V=6 x^2 = 384

x^2=384/6

x = sqrt (384/6)