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?
PLEASE HELP
To calculate the amount of cardboard needed for the box, we need to find the total surface area of the box.
The formula for the surface area of a rectangular box is:
Surface Area = 2lw + 2lh + 2wh
Given:
Length (l) = 10 inches
Width (w) = 9 inches
Height (h) = 7 inches
Plug in the values:
Surface Area = 2(10)(9) + 2(10)(7) + 2(9)(7)
Surface Area = 180 + 140 + 126
Surface Area = 446 square inches
Therefore, to build the box, Cherese will need 446 square inches of cardboard. With the 500 square inches she has purchased, she will have 500 - 446 = 54 square inches left over.