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 406 in.2 406 in. squared 426 in.2 426 in. squared 54 in.2 54 in. squared 446 in.2
There are 6 sides to a box, with two sides being 10x9in (90 sq.in), two sides being 10x7in (70 sq.in) , and two sides being 9x7in (63sq.in). Therefore, the total area of the cardboard needed is 90 + 90 + 70 + 70 + 63 + 63 = 446 sq.in.
Since Cherese purchased 500 sq.in of cardboard and only needed 446 sq.in, the amount left over would be 500 - 446 = 54 sq.in.
Therefore, the answer is 54 in.2.