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 find the area of the wrapping paper and the area of one box, and then divide the area of the wrapping paper by the area of one box.
The area of the wrapping paper is given by the product of its length and width: 25 in. × 405 in. = 10125 in².
The area of one box is given by the sum of the areas of its six sides. The front and back sides each have an area of 16 in. × 14 in. = 224 in². The top and bottom sides each have an area of 16 in. × 6 in. = 96 in². The left and right sides each have an area of 14 in. × 6 in. = 84 in². Thus, the area of one box is 2 × (224 in² + 96 in² + 84 in²) = 800 in².
Finally, we can divide the area of the wrapping paper (10125 in²) by the area of one box (800 in²) to find the number of complete boxes that can be wrapped with one roll of wrapping paper: 10125 in² / 800 in² ≈ 12.7.
Since we can't have a fraction of a box, we can wrap at most 12 complete boxes with one roll of wrapping paper. Answer: \boxed{12}.