Chloe has 20 unit cubes. How many different rectangular prism can she build with the cubes?

1 Answer
Apr 13, 2018

#4#

Explanation:

Look at the factors of #20#.
They are #1,2,4,5,10 and 20#.

Pick any two of these factors and determine if there is a third value from this list so that the product of the three factors is #20#

There are #4# combinations that will work :
#1xx1xx20#
#1xx2xx10#
#1xx4xx5#
#2xx2xx5#

Hence, Chloe can build 4 different rectangular prisms with #20# unit cubes.

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