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?

Georgia Milestones Grade 7 Mathematics Formula Sheet

(1 point)
Responses

446 square inches
446 square inches

54 square inches
54 square inches

426 square inches
426 square inches

406 square inches

1 answer

54 square inches

To find the total surface area of the box, we calculate the area of each of the six sides and add them together:

- Front and back sides: 10 inches by 7 inches = 70 square inches each
- Top and bottom sides: 9 inches by 7 inches = 63 square inches each
- 2 side sides: 10 inches by 9 inches = 90 square inches each

Total surface area = 2(70) + 2(63) + 2(90) = 140 + 126 + 180 = 446 square inches

Since Stacey purchased only 500 square inches of cardboard, and the box requires 446 square inches, she will have 54 square inches left over.