okay, I have an idea that should work. Since the pyramid maintains the same relative proportions (since all of the pyramids being made by the continued flow of water are similar pyramids) when it comes to the dimensions of the height and base, you can set up a relation given the overall dimensions.
So b = 13, h = 10 => b/h = 13/10 => b = 13/10 h
You should be able to go from there. Geometric proportions are used quite often in calculus but many students miss them.
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Edited by Sesto: 8/21/2013 4:54:06 PMI've asked this question on another forum and someone said it was b = 13/10 h... so I'm not sure who is right.
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Edited by JLx24: 8/21/2013 5:22:31 PMoops, sorry, misread the dimensions. Yes, b = 13/10 h is correct. Simple check: b = 13, h = 10 => b/h = 13/10 => b = 13/10 h