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?(1 point) Responses 446 square inches 446 square inches 54 square inches 54 square inches 426 square inches 426 square inches 406 square inches
To calculate the total surface area of the box, we need to find the surface area of each of the six sides and add them together.
1. Top and bottom: 10 inches long by 9 inches wide = 90 square inches each side (2 sides)
2. Front and back: 10 inches long by 7 inches high = 70 square inches each side (2 sides)
3. Sides: 9 inches wide by 7 inches high = 63 square inches each side (2 sides)
Total surface area = (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 the amount left over is:
500 - 446 = 54 square inches
So, the answer is 54 square inches.