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
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.