A roll of wrapping paper measures 25 in. x 405 in. The boxes being wrapped are 16 in. x 14 in. x 6 in. How many complete boxes can be wrapped with one roll of wrapping paper? (1 point)
To calculate the number of complete boxes that can be wrapped with one roll of wrapping paper, we need to determine the amount of wrapping paper needed for each box and then divide the total length of the roll by the amount needed for each box.
The amount of wrapping paper needed for each box can be determined by calculating the surface area of the box, which is equal to 2 times the length times the width plus 2 times the width times the height plus 2 times the height times the length.
Surface area of the box = 2(length x width + width x height + height x length)
Surface area of the box = 2(16 x 14 + 14 x 6 + 6 x 16)
Surface area of the box = 2(224 + 84 + 96)
Surface area of the box = 2(404)
Surface area of the box = 808 square inches
Now we can calculate the number of complete boxes that can be wrapped with one roll of wrapping paper by dividing the total length of the roll by the length needed for each box.
Number of complete boxes = Total length of roll / Surface area of the box
Total length of roll = 25 inches
Surface area of the box = 808 square inches
Number of complete boxes = 25 inches / 808 square inches
Number of complete boxes ≈ 0.031
Therefore, one roll of wrapping paper can wrap approximately 0.031 or 1/32 of a complete box.