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)
wrong
To determine how many complete boxes can be wrapped with one roll of wrapping paper, we need to divide the total surface area of the roll by the surface area of the box.
The surface area of the roll of wrapping paper can be calculated by multiplying the length and width dimensions, which is 25 in. × 405 in.:
25 in. × 405 in. = 10,125 in².
The surface area of the box can be calculated by adding up the areas of each side. We have three sides with the dimensions 16 in. × 14 in., and three sides with the dimensions 16 in. × 6 in.:
(16 in. × 14 in.) + 2(16 in. × 6 in.) = 224 in² + 192 in² = 416 in².
Finally, we divide the surface area of the roll by the surface area of the box to determine how many complete boxes can be wrapped:
10,125 in² ÷ 416 in² = 24.36.
Since we can't wrap a fraction of a box, we can wrap a total of 24 complete boxes with one roll of wrapping paper.
Apologies for the incorrect answer. Let's calculate the correct number of complete boxes that can be wrapped with one roll of wrapping paper.
The surface area of the roll of wrapping paper is 25 in. x 405 in. = 10,125 in².
To determine the amount of paper needed to wrap one box, we need to find the surface area of the box.
The surface area of the box is (2 x length x width) + (2 x length x height) + (2 x width x height) = (2 x 16 in. x 14 in.) + (2 x 16 in. x 6 in.) + (2 x 14 in. x 6 in.) = 896 in² + 192 in² + 168 in² = 1,256 in².
Now, we can divide the surface area of the roll of wrapping paper by the surface area of the box to find the number of complete boxes that can be wrapped:
10,125 in² ÷ 1,256 in² ≈ 8.07.
Since we can't have a fraction of a box, we can wrap a total of 8 complete boxes with one roll of wrapping paper.