Stacey 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?
To find the total surface area of the box, we need to calculate the surface area of each side and then add them all together.
The box has 6 sides:
1. Top and bottom: 10 inches long by 9 inches wide = 90 square inches each (2 sides total)
2. Front and back: 10 inches long by 7 inches high = 70 square inches each (2 sides total)
3. Sides: 9 inches wide by 7 inches high = 63 square inches each (2 sides total)
Total surface area of the box: (90 + 90) + (70 + 70) + (63 + 63) = 446 square inches
If Stacey purchases 500 square inches of cardboard and the total surface area of the box is 446 square inches, then there will be 500 - 446 = 54 square inches left over.