A roll of wrapping paper measures 25 in. × 405 in. The boxes being wrapped are 16 in. × 14 in. × 6 in. How many complete boxes can be wrapped with one roll of wrapping paper?(1 point)
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To determine how many complete boxes can be wrapped with one roll of wrapping paper, we need to calculate the total area of wrapping paper available and divide it by the area of each box.
The total area of the wrapping paper can be found by multiplying the length and width: 25 in. × 405 in. = 10125 in^2.
The area of each box can be found by multiplying the length, width, and height: 16 in. × 14 in. × 6 in. = 1344 in^3.
To convert the volume to area, we can divide by the height: 1344 in^3 ÷ 6 in. = 224 in^2.
Finally, we divide the total area of wrapping paper by the area of each box: 10125 in^2 ÷ 224 in^2 ≈ 45.09.
Therefore, approximately 45 complete boxes can be wrapped with one roll of wrapping paper.