Kim uses the Fermi process to estimate the number of buckets of rocks she could store in a warehouse. The buckets are shaped like cylinders. The warehouse is shaped like a rectangular prism.

She estimates the buckets have a height of 25 inches and a diameter of 10 inches.

She estimates the warehouse is 100 feet long, 50 feet wide, and 20 feet high.

Which expression should Kim use in the process?

Guest Nov 28, 2017

#1**+1 **

Not sure what the Fermi Process is...but here is an approach :

We will have some empty space around each bucket....each bucket would occupy a prism with a volume of [10 *10 * 25 ] = 2500 in^3

The height of each bucket is 25 in and the height of the warehouse is 240 in

So......20*12 / 25 ≈ 9 buckets could be stacked

And in one row, 50*12/10 = 60 buckets could be accomodated

And the number of rows is 120*12/10 = 120

So....the approximate number of buckets that the warehouse could hold is

9 * 60 * 120 = 64800 buckets

CPhill
Nov 28, 2017