Answer:
[tex]\frac{1}{8}[/tex] cubic feet
Step-by-step explanation:
The edge length of cubic block is 1/5th of 2 and 1/2. Let's do this:
[tex]\frac{1}{5}*2\frac{1}{2}\\=\frac{1}{5}*\frac{5}{2}\\=\frac{1}{2}[/tex]
So the edge length of cubic block = 1/2 feet.
The volume of cube is given by V = x^3, where x is the edge length. We know edge length is 1/2, so we have:
[tex]V=x^3\\V=(\frac{1}{2})^3\\V=\frac{1}{8}[/tex]