Cherese 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? (1 point)

426 in.2
406 in.2
446 in.2
54 in.2

1 answer

To find the surface area of the box, we first find the surface area of each individual side.

The box has 6 sides:
- 2 sides that are 10 inches long by 9 inches wide = 2 * 10 * 9 = 180 square inches
- 2 sides that are 10 inches long by 7 inches high = 2 * 10 * 7 = 140 square inches
- 2 sides that are 9 inches wide by 7 inches high = 2 * 9 * 7 = 126 square inches

Adding all these up, we get: 180 + 140 + 126 = 446 square inches

Therefore, if Cherese purchases 500 square inches of cardboard, there will be 500 - 446 = 54 square inches left over.

Answer: 54 in.2