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)
• 406 in.?
O 54 in.?
• 146 in.?
• 426 in.?
The surface area of the box is given by the formula:
2lw + 2lh + 2wh
Substitute the given dimensions into the formula:
2(10)(9) + 2(10)(7) + 2(9)(7)
= 180 + 140 + 126
= 446 square inches
If she purchases 500 square inches of cardboard and the box requires 446 square inches, the amount left over would be:
500 - 446 = 54 square inches
Therefore, the correct answer is: 54 in.