The volume of a cube is the product of its dimensions. Since all three dimensions have the same length, we just need to multiply the length of one dimension 3 times.
So if one dimension of the building block is equal 1/12x^2, we have that:
[tex]\begin{gathered} \text{Volume}=d^3 \\ \text{Volume}=(\frac{1}{12}x^2)^3 \\ \text{Volume}=\frac{(x^2)^3}{12^3} \\ \text{Volume}=\frac{x^6}{1728} \end{gathered}[/tex]So the volume of the building block is equal (1/1728)x^6.
