A box with a square base and no top is to be made from a square piece of carboard by cutting 3 in. squares from each corner and folding up the sides. the box is to hold 9075 in3. how big a piece of cardboard is needed?

The volume will be L*W*H

We are cutting 4 inches from each corner, so the length and width will each be

x - 8.

The height will be 4.

100 = 4 * (x - 8) * (x - 8)

25 = (x - 8) ^2

5 = x - 8

13 inches = x.

The piece of cardboard needed will be 13 by 13 inches.