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An artist wants to make alabaster pyramids using a block of alabaster with a volume of 576 cubic inches. She plans to make each pyramid with a square base area of 3 square inches and a height of 4 inches. At most, how many pyramids can the artist make from the block of alabaster?

 May 23, 2016

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Volume of square based pyramid = s^2*h/3  where s is the side length and h is the height.  Here s^2 = 3 sq inches and h = 4 inches

 

Volume of 1 pyramid = 3*4 cubic inches = 12 cubic inches

 

Hence largest number of possible pyramids:  576/12 = 48 

.

 May 23, 2016

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