A role of wrapping paper measures 25“ x 405“ the boxes being wrapped are 16“ x 14“ x 6“ how many complete boxes can be wrapped with one roll wrapping paper of paper
To determine how many complete boxes can be wrapped with one roll of wrapping paper, we need to calculate the area of the wrapping paper and the surface area of the boxes.
The area of the wrapping paper is calculated by multiplying the length and width of the roll: 25" x 405" = 10,125 square inches.
The surface area of each box is derived by calculating the area of each face and then summing them up. For a box with dimensions of 16" x 14" x 6", the surface area is:
2(16" x 14") + 2(16" x 6") + 2(14" x 6")
= 2(224) + 2(96) + 2(84)
= 448 + 192 + 168
= 808 square inches.
Now, we can divide the area of the wrapping paper by the surface area of each box to find out the total number of complete boxes that can be wrapped:
10,125 square inches ÷ 808 square inches = 12.54.
Therefore, one roll of wrapping paper can wrap approximately 12 complete boxes.