To calculate the volume of a rectangular prism you have to multiply the length by the width by the height, the formula is
[tex]V=l\cdot w\cdot h[/tex]
The given prism has the following measures:
[tex]\begin{gathered} l=\frac{2}{5}cm \\ w=\frac{2}{5}cm \\ h=\frac{2}{5}cm \end{gathered}[/tex]
Replace the formula of the volume with the measures of the prism
[tex]V=\frac{2}{5}\cdot\frac{2}{5}\cdot\frac{2}{5}[/tex]
Note that the sides have the same length, so if you multiply 2/5 by 2/5 by 2/5 is the same as calculating (2/5)³
Then
[tex]\begin{gathered} V=(\frac{2}{5})^3 \\ V=\frac{2^3}{5^3} \\ V=\frac{8}{125}cm^3 \end{gathered}[/tex]
The volume of the prism is 8/125 cm³, you can express it as a decimal value as 0.064 cm³
