If I need to buy some cardboard to build a box 10 in long, 9 in wide, and 7 in high and I purchase 500 square inches of cardboard how much will be left over

1 answer

To calculate the surface area of the box, we need to find the sum of the surface area of each of the six sides.

Surface Area = 2lw + 2lh + 2wh
Surface Area = 2(10*9) + 2(10*7) + 2(9*7)
Surface Area = 180 + 140 + 126
Surface Area = 446 square inches

Therefore, to build a box with dimensions of 10 in long, 9 in wide, and 7 in high would require 446 square inches of cardboard.

If you purchase 500 square inches of cardboard, then the remaining amount left over would be:
500 - 446 = 54 square inches

Thus, after building the box with the given dimensions, there would be 54 square inches of cardboard left over.