Question

Asked Sep 7, 2019

Lorene plans to make several open-topped boxes in which to carry plants. She makes the boxes from rectangular sheets of cardboard from which se cuts out 6-in. squares from each corner. The length of the original piece of cardboard is 12 in. more than the width. If the volume of the box is 1728 in^3, determine the demenisons of the original piece of cardboard.

Step 1

Let the width of rectangular sheet is x inches and then its width is (x+12)inches. After cutting of 6 inches squares from each corner, we get box of length x inches , width (x-12) inches and height 6 inches.

Step 2

After we , use the formula for volume of cuboid to get the quadratic in x.

Step 3

Then , we solve the quadrtic for x. one of values of x is negative , which is not p...

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