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Solving Pallet Equations

A recent delivery came with an unexpected bonus.

bounty box

A diagram illustrating the geometric relationship between the length and the width of the box!

pallet diagram

Of course, the equation 3w = 2l immediately came to mind.  I also noticed that the pallet could not be a square:  if 3w = l + 2w, then w = l, which would make the box itself a square-based box, which it clearly is not.

I did a quick search and found the standard pallet size to be 48 inches by 40 inches.  So my best guess is that w = 12 and l = 18.  This box has already been discarded, so I guess I’ll have to order another box to find out!


  1. David says:

    Knowing that there are 6 rolls of paper towels in the box, and their probable arrangement and size, also helps verify that your answer is probably correct. 🙂

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