The volume of the prism is a function of the cubes in it.
The volume of the prism is: <em>(b) 2 unit cubes and 9 smaller cubes of volume fraction 1 over 27 cubic inch each</em>
From the question, we have:
<em />
<em> --- number of cubes</em>
<em />
<em> --- the edge length of each cube</em>
<em />
So, the volume of a cube is:

This gives


The volume of the prism is then calculated as:

This gives


Rewrite as:

Split


Rewrite as:

The above equation means that, the volume of the prism is:
<em>(b) 2 unit cubes and 9 smaller cubes of volume fraction 1 over 27 cubic inch each
</em>
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