Question

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.

Answer 1

Answer: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