asseswhat yo 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 )
To determine how many complete boxes can be wrapped with one roll of wrapping paper, we need to calculate the total surface area of the wrapping paper and divide it by the surface area of one box.
The total surface area of the wrapping paper can be calculated by finding the sum of all the sides:
25 in. * 40 in. = 1000 in²
The surface area of the box is given by the formula:
2(length * width) + 2(length * height) + 2(width * height)
Plugging in the values:
2(16 in. * 14 in.) + 2(16 in. * 6 in.) + 2(14 in. * 6 in.)
= 2(224 in²) + 2(96 in²) + 2(84 in²)
= 448 in² + 192 in² + 168 in²
= 808 in²
Now, we can calculate how many complete boxes can be wrapped with one roll of wrapping paper:
1000 in² / 808 in² = 1.237
Since we can't have a fraction of a box, we can wrap 1 complete box with one roll of wrapping paper.