SOLUTION: The following problem is often used in textbooks using different measures. An open box is to be constructed from a square piece of sheet metal by removing a square of side 1 fo

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Question 1199113: The following problem is often used in textbooks using different measures.
An open box is to be constructed from a square piece of sheet metal by removing a square of side 1 foot from each corner and turning up the edges. If the box is to hold 4 cubic feet, what should be the dimensions of the shert metal?
Let me see.
I can label the length of a side of the square piece of metal as x.
The box will be of height 1 foot, and it's square base will measure (x - 2) on each side. The volume V of the box is V = (x - 2)(x - 2) • 1 or (x - 2)^2.
Is this right so far?


Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

yes, that is right so far
plug in given The volume V
V=%28x-2%29%5E2+
4=%28x-2%29%5E2+
x%5E2+-+4x+%2B+4+=+4
x%5E2+-+4x+%2B+4+-+4+=+0
x%5E2+-+4x+=+0
x%28x+-+4%29+=+0

Two solutions
x+=+0->disregard
and
x+=+4
so, the dimensions of the sheet metal are 4ft by 4ft