A square piece of cardboard was used to construct a tray by cutting 2-inch squares out of each corner and turning up the flaps. Find the size of the original square if the resulting tray has a volume of 128 cu in.

The original square was 10 x 10 inches

Step-by-step explanation:

Let L, W, and H stand for length, width, and height (in inches)

Volume = L*W*H

L*W*H = 128 in^3

H = 2 in

This is a square, so L = W

L*W*H = 128 in^3

W*W*(2in) = 128 in^3

W^2 = 64 in^2

W = 8 in

Add 2 in for the area that was used for the side.

The original square was 10 x 10 inches

the entire expression should be subtracted from 30. to subtract the quantity, distribute the negative sign, which changes the signs on the terms. so, the –2 changes to positive and gets added to 30 instead of subtracted from it.

hope this ! ^w^

open side up . . 1/50 . . 2%

closed side up . . 5/50 . . 10%

landed on side . . 44/50 . . 88%