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
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.