Answer:
[tex]\huge\boxed{V=64cm^3}[/tex]
Step-by-step explanation:
The formula of a surface area of a cube:
[tex]SA=6a^2[/tex]
The formula of a volume of a cube:
[tex]V=a^3[/tex]
We have
[tex]SA=96cm^2[/tex]
Calculate the edge length (a).
[tex]6a^2=96[/tex] divide both sides by 6
[tex]a^2=16\to a=\sqrt{16}\\\\a=4(cm)[/tex]
Calculate the volume of a cube:
[tex]V=4^3=64(cm^3)[/tex]
