A roll of wrapping paper measures 25 inches times 405 inches the box is 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 how many complete boxes can be wrapped with one roll of wrapping paper, we need to calculate the surface area of the box and then compare it to the surface area of the wrapping paper.

The surface area of the box can be calculated by adding the areas of all six sides:
2(lw + wh + lh) = 2(16*14 + 14*6 + 16*6) = 2(224 + 84 + 96) = 808 square inches

The surface area of the wrapping paper is given as 25*405 = 10125 square inches

Now we divide the surface area of the wrapping paper by the surface area of the box to determine how many boxes can be wrapped:
10125 / 808 ≈ 12.53

Therefore, approximately 12 complete boxes can be wrapped with one roll of wrapping paper.