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)Responses54 in.254 in. squared446 in.2 446 in. squared426 in.2 426 in. squared406 in.2

Answer 1

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

Surface Area = 2lw + 2lh + 2wh
where l is the length, w is the width, and h is the height of the box.

Surface Area = 2(10*9) + 2(10*7) + 2(9*7)
Surface Area = 2(90) + 2(70) + 2(63)
Surface Area = 180 + 140 + 126
Surface Area = 446 square inches

Since Cherese has purchased 500 square inches of cardboard, the amount left over will be:
Amount left over = Total cardboard purchased - Surface Area of the box
Amount left over = 500 - 446
Amount left over = 54 square inches

Therefore, there will be 54 square inches of cardboard left over. The answer is 54 in. squared.