# Rosa has 16 unit cubes. How many different rectangular prisms can she build with the cubes?

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Apr 3, 2017

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Since the rectangular prism is formed by the unit cubes, each dimension of the prism must be a whole number of cubes.

Given that Rosa has

To find these combinations, look at the factors of

They are

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

There are

Hence, Rosa can build 4 different rectangular prisms with 16 unit cubes.

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