Shirt boxes of 12 x 9 x 2 in
- Input
- 24 x 17 x 3 cm on 70 x 500 cm | 12 x 9 x 2 in on 30 x 144 in
- Expected output
- 16 | 7
One sheet across the 30 in width and 7 rows along the 12 ft roll.
how many gifts per roll of wrapping paper
A 30 in x 12 ft roll wraps 7 shirt boxes of 12 x 9 x 2 in, and a 30 in x 16 ft roll wraps 9. The math splits the roll width into sheets side by side and stacks the rows along the length. Below are common rolls, the effect of rotation and the diagonal method and how to count a whole list.
One sheet across the 30 in width and 7 rows along the 12 ft roll.
On the 16 ft roll the shoe box gets 6 sheets, one per row.
On the 12 ft roll the box gets 8 sheets, and on the 16 ft roll 10.
The 16 ft roll gets nine sheets against seven on the 12 ft roll.
A jumbo 30 in x 40 ft roll takes 17 sheets of 14 x 8 x 5 in shoe boxes.
For a 14 x 8 x 5 in shoe box, a 29 x 28 in sheet with the standard method. The width is 2 x width + 2 x height + 3 in (16 + 10 + 3) and the length is length + 2 x height + 4 in (14 + 10 + 4). With the diagonal method a square 28 3/8 in on a side is enough, and it also covers the whole box.
It depends on the size: ten sheets of 16 x 24 in on a 28 x 40 in roll take 5 rolls, because each sheet turns and uses 16 inches of length, 2 per roll. Build the list on the Many gifts tab with the quantities and the calculator counts the rolls.
Width decides whether the sheet fits and how many sit side by side; length only stacks rows. A 30 x 192 in roll yields 6 shoe-box sheets while a 30 x 144 in one yields 5. If the sheet does not fit the width, no length fixes it.
Turn the sheet: the wrap-around then runs along the roll. If it still does not fit, the calculator shows the minimum roll width, which is the smaller side of the sheet. The diagonal method helps because the square is more compact than the standard rectangle.
Yes: it shows the length used, the rolls as a fraction and the percentage left over. On a 30 in roll, a 20 in sheet cut from a 30 in strip leaves 10 inches of width unused. To cut that down, mix gift sizes that add up across the width.
The source formula uses 3 in (7.6 cm) and the quick method says 2 to 3 in.
28 3/8 in x 28 3/8 in
Diagonal method, 5.56 sq ft of paper.
Rule: side = square root of 2 x (longest edge + shortest edge + 1 in allowance), with the box turned 45 degrees (How to Wrap a Present, NRICH, University of Cambridge).
29 in x 28 in
Needs a roll at least 28 in wide.
28 3/8 in x 28 3/8 in
Needs a roll at least 28 3/8 in wide.
Uses 1% less paper than the standard method.
78 7/8 in
From 75 7/8 in to 81 3/4 in, depending on the bow size.
Rule: 2 x length + 2 x width + 4 x height + a 12 to 18 in bow.
The gift sits at 45 degrees in the center of the square sheet and the four corners fold to the middle of the lid.