tacey 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
To find the surface area of the box, we first find the area of each of the six sides and then add them together.
The top and bottom of the box each has an area of 10 inches x 9 inches = 90 square inches.
The front and back of the box each has an area of 10 inches x 7 inches = 70 square inches.
The sides of the box each has an area of 9 inches x 7 inches = 63 square inches.
Adding all these areas together, the total surface area of the box is:
2(90) + 2(70) + 2(63) = 180 + 140 + 126 = 446 square inches.
Since Stacey has purchased 500 square inches of cardboard, she will have 500 - 446 = 54 square inches left over.
Therefore, the answer is 54 square inches.