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Question

Ok this is something related to my export business which ships to China. 

Here’s the question : 

If I have a shipping container (the kind you’ll see on a cargo ship) and the dimensions of the container are 20ft x 8ft x 8.6ft 

Then how many of these can I fit in it: 

4.4in x 6.3in x to 5.5in 

Thank you in advance for any help with this !! 

Answer 1

20 feet is equal to 240 inches. If you stack the 6.3-inch side of the product against the 20-foot side of the box, you can fit 38 of them.

8 feet is equal to 96 inches. If you stack the 4.4-inch side of the product against the 8-foot side of the box, you can fit 23 of them.

8.6 feet is equal to 103.2 inches. If you stack the 5.5-inch side of the product against the 8.6-foot side of the box, you can fit 17 of them.

These are the most optimal positions for the product within the box. By orienting them this way, you will have 17 layers of 38 rows and 23 columns, which is 17 layers of 847 products, or 14,858 products.

Here are the other possibilities:

20 feet - 54 of the 4.4-inch sides, 43 of the 5.5-inch sides

8 feet - 21 of the 4.4-inch sides, 15 of the 6.3-inch sides

8.6 feet - 16 of the 6.3-inch sides, 18 of the 5.5-inch sides

The number of products we can fit with all the possible orientations are:

54 x 15 x 18 = 14,580

54 x 17 x 16 = 14,668

38 x 21 x 18 = 14,346

38 x 17 x 23 = 14,858

43 x 21 x 16 = 14,448

43 x 15 x 23 = 14,835

As you see, 14,858 with the 6.3-5.5-4.4 sides of the product corresponding to the 20-8-8.6 sides of the box fits the most.