I’m wrapping paper measures 25” x 405” the boxes being wrapped are 16 inches times 14 inches times 6 inches how many complete boxes can be wrapped with one roll of wrapping paper

1 answer

To determine the number of complete boxes that can be wrapped with one roll of wrapping paper, we need to calculate the surface area of the paper and the total surface area required to wrap each box.

The surface area of the wrapping paper is given by:
25" x 405" = 10,125 square inches

The total surface area required to wrap a box with dimensions 16" x 14" x 6" can be calculated using the formula:
2lw + 2lh + 2wh

For the given box, the total surface area required is:
2(16 x 14) + 2(16 x 6) + 2(14 x 6) = 784 square inches

Now, to determine the number of complete boxes that can be wrapped, we divide the total surface area of the wrapping paper by the total surface area required per box:
10,125 / 784 = 12.928

Since we can't have a fractional number of boxes, we round down to the nearest whole number. Therefore, one roll of wrapping paper can wrap a maximum of 12 complete boxes.