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An open box is to be constructed from a square piece of sheet metal by removing a square of side 4 feet from each corner and turning up the edges. If the box is to hold 256 cubic​ feet, what should be the dimensions of the sheet​ metal?

Question

An open box is to be constructed from a square piece of sheet metal by removing a square of side 4 feet from each corner and turning up the edges. If the box is to hold 256 cubic​ feet, what should be the dimensions of the sheet​ metal?

check_circleAnswer
Step 1

Assume that the dimension of sheet metal = x feet

Step 2

According to the given information we cut the sheet metal by removing a square of side 4 feet from each corner.

So new side is (x-8)

Step 3

Now we know that the volume of cuboid =  leng...

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