Stacey needs to buy some cardboard to build a box 10 inches long, 9 inches wide, and 7 inches high. If she purchases 500 square inches of cardboard, how much will be left over?

446 square inches
54 square inches
426 square inches
406 square inches

1 answer

The surface area of the box is calculated by finding the surface areas of all six sides and adding them together.
Surface area = 2lw + 2lh + 2wh
Surface area = 2(10*9) + 2(10*7) + 2(9*7)
Surface area = 420 square inches

If Stacey purchases 500 square inches of cardboard, and the surface area of the box is 420 square inches, she will have 500 - 420 = 80 square inches of cardboard left over.

So the answer is 80 square inches.