[tex]a-edge\ of \ a\ cube\\\\\text{The formula of a total area of a cube:}\ T.A.=6a^2.\\\\\text{We have}\ T.A=96\ in^2.\ \text{Substitute:}\\\\6a^2=96\qquad\text{divide both sides by 6}\\\\a^2=16\to a=\sqrt{16}\\\\\boxed{a=4\ in}\\\\\text{The formula of a volume of a cube:}\ V=a^3.\ \text{Substitute:}\\\\V=4^3=64\ in^3\\\\Answer:\ \boxed{64\ in^3}[/tex]
