Question

How many 1/2 unit cubes does it take to fill the prism?​

Answer 1

Explanation:

Answer 2

Check the picture below.

since the larger cube has a volume of 6 cubic units, let's see what is the volume of one of the small cubes, and check how many times does that volume go into the other.

`\bf \stackrel{\textit{volume of a cube}}{V=s^3}~~ \begin{cases} s=side's~ length\\ \cline{1-1} s=(1)/(2) \end{cases}\implies V=\left( \cfrac{1}{2} \right)^3\implies V=\cfrac{1}{8} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{how many times does }(1)/(8)\textit{ go into 6?}}{6/ \cfrac{1}{8}\implies \cfrac{6}{1}/ \cfrac{1}{8}\implies \cfrac{6}{1}\cdot \cfrac{8}{1}}\implies 48`