[tex]volume=side^3[/tex]
remember
[tex](ab)^c=(a^c)(b^c)[/tex]
and
[tex](a^b)^c=a^{bc}[/tex]
each side is [tex]3c^6d^2[/tex]
so the volume is [tex](3c^6d^2)^3[/tex]
which is
[tex](3)^2(c^6)^3(d^2)^3=[/tex]
[tex](9)(c^{18})(d^6)=[/tex]
[tex]9c^{18}d^6[/tex]
the volume is [tex]9c^{18}d^6[/tex]