How many cartons in one container
by Siddharth on 07/16/03 at 01:07:14

I have to load a container whose dimensions are 19'4" long,7'8" wide and 7'10" high.

If my carton size is 10" x 13" x17.5" , how many cartons can i stuff.

Very simple but still i am confused. Is there any standard formula to determine this value ???

- Siddharth

Re: How many cartons in one container
by Robert Fogt on 07/16/03 at 04:06:16

First I would convert all of the diminensions to the same unit, such as inches.

19'4" = (19 * 12) + 4 = 232"
7'8" = (7 * 12) + 8 = 92"
7'10" = (7 * 12) + 10 = 94"

Now we need to figure out which direction the boxes face allow the most boxes to fit in the container, kindof like tetris.

I will round off all the numbers, since you cant fit a partial box in the container.
(Length of the container) / (length of the box) = number of rows of boxes.
(Width of the container) / (width of the box) = number of boxes per row.
(Height of the container) / (height of the box) = number of rows per column.
Then you just multiply the three numbers together to get the total number of boxes.

One way to pack them is:
232 / 10 = 23, 92 / 13 = 7, 94 / 17.5 = 5
23 * 7 * 5 = 805 total boxes

Another way to pack them is:
232 / 13 = 17, 92 / 10 = 9, 94 / 17.5 = 5
17 * 9 * 5 = 765 total boxes

Yet another way:
232 / 17.5 = 13, 92 / 13 = 7, 94 / 10 = 9
13 * 7 * 9 = 819 total boxes

I imagine this gives you a general idea how to do it. There is a total of 6 different ways you can pack the boxes into the container, not counting stacking some one way, others another way.

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