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 406 in.2 406 in. squared 446 in.2
To find the surface area of the box, we need to find the area of each of the six sides and then add them together.
The surface area of the box is:
2(10*9) + 2(10*7) + 2(9*7)
= 2(90) + 2(70) + 2(63)
= 180 + 140 + 126
= 446 square inches
Therefore, if Cherese purchases 500 square inches of cardboard, she will have 500 - 446 = 54 square inches leftover.
So, the answer is 54 in.2