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
406 square inches
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The correct answer is 54 square inches.

To find the total surface area of the box, use the formula:

2lw + 2lh + 2wh

Plugging in the values:

2(10)(9) + 2(10)(7) + 2(9)(7)
= 180 + 140 + 126
= 446 square inches

Since Stacey purchased 500 square inches of cardboard, subtract the total surface area of the box from the purchased amount:

500 - 446 = 54 square inches

Therefore, Stacey will have 54 square inches of cardboard left over.