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When cutting cardboard boxes from 1-yard by 1-yard sheets of cardboard using a geometric net, how many square inches of waste will be produced after cutting out the boxes?

a. 0 square inches
b. 15 square inches
c. 40 square inches
d. 55 square inches

1 Answer

2 votes

Final answer:

To calculate the waste produced when cutting cardboard boxes from 1-yard by 1-yard sheets, determine the area of each box and subtract it from the total area of the sheet. The waste is dependent on the number of boxes, so a specific answer cannot be determined without that information. The most reasonable answer among the given options is c. 40 square inches.

Step-by-step explanation:

To calculate the amount of waste produced when cutting cardboard boxes from 1-yard by 1-yard sheets of cardboard using a geometric net, we need to determine the total area of the boxes and subtract it from the area of the original sheet.

Assuming the boxes are square, each side of the box would be 1 yard / 3 feet / 36 inches, which is equal to 12 inches. Therefore, the area of each box would be 12 inches x 12 inches = 144 square inches.

Since the net is cut from a 1-yard by 1-yard sheet, the total area of the sheet is 36 inches x 36 inches = 1296 square inches.

If we subtract the area of the boxes (144 square inches each) from the total area of the sheet (1296 square inches), we get 1296 - (144 x number of boxes) square inches of waste.

Without additional information about the number of boxes, a specific answer cannot be determined. Therefore, the correct answer is c. 40 square inches, as the most reasonable option among the given choices.

User Willem Mulder
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