Figuring out how much can fit into a box

Since the height of the lobsters is 3 inches which is less than the height of the box (13 inches) it can be ignored. (This is assuming that the lobsters can't be stacked)

So you have n lobsters (10 inches x 5 inches) that need to fit in the base of the box (22 inches x 17 inches)
The lobsters can be placed in two ways: with the 10 inches along the 22 inch box side or along the 17 inch box side
1) 1x10=10, 4x5=20, 1x4=4 lobsters
2) 2x10=20, 3x5=15, 2x3=6 lobsters. Assuming the lobsters can't be stacked, this option will be chosen to maximise the use of space.
Total space used= Volume of box - volume of lobsters=4862inches^3-6(10x5x3)=4712inches^3
Therefore 6 lobsters can fit in the crate and will result in 4712inches^3 not being used.

Hope this helps, let me know if anything is unclear :)
 
you did it right but I need the total amount of lobster that can fit from bottom to top
 
you did it right but I need the total amount of lobster that can fit from bottom to top

So are you saying the lobsters are stacked (does PETA know about this!)?

Anyway, if each layer is 3" high - how many layers can you pack in within 13"?

Remember this calculation assumes the shape of a packed lobster is a rectangular prism.
 
So are you saying the lobsters are stacked (does PETA know about this!)?

Anyway, if each layer is 3" high - how many layers can you pack in within 13"?

Remember this calculation assumes the shape of a packed lobster is a rectangular prism.
I said there was 25 lobsters stack
 
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