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)
• 446 in.^2
• 406 in.^2
• 54 in.^2
• 426 in.^2
406 in.^2
To find the total surface area of the box, we need to find the area of each of the faces and then add them up.
The front and back faces will each have an area of 10 inches by 7 inches = 70 square inches.
The top and bottom faces will each have an area of 9 inches by 7 inches = 63 square inches.
The two side faces will each have an area of 10 inches by 9 inches = 90 square inches.
Adding up all the areas, we get: 70 + 70 + 63 + 63 + 90 + 90 = 446 square inches.
Since she bought 500 square inches, the amount left over will be: 500 - 446 = 54 square inches.
Therefore, the answer is 54 in.^2.