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
54 in. squared

426 in.2
426 in. squared

446 in.2
446 in. squared

406 in.2
406 in. squared

1 answer

The surface area of the box that Cherese needs to cover with cardboard is:

2(10*9 + 10*7 + 9*7) = 2(90 + 70 + 63) = 2(223) = 446 square inches

Since she only has 500 square inches of cardboard, the amount left over is:

500 - 446 = 54 square inches

So the correct answer is 54 in.2.