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)

Responses

54 in.2

446 in.2

406 in.2

426 in.2

1 answer

406 in.2

To calculate the amount of cardboard needed for the box, we need to find the surface area of the box.

Surface Area = 2lw + 2lh + 2wh
Surface Area = 2(10x9) + 2(10x7) + 2(9x7)
Surface Area = 180 + 140 + 126
Surface Area = 446 square inches

Since Cherese only has 500 square inches of cardboard, the leftover amount is:
500 - 446 = 54 square inches

Therefore, the correct answer is 54 in.2