Answer:
V = 27 in³
Step-by-step explanation:
The formula of a surface area of a cube:
[tex]S.A.=6a^2[/tex]
a - edge
We have S.A. = 54 in². Substitute:
[tex]6a^2=54[/tex] divide both sides by 6
[tex]a^2=9\to a=\sqrt9\\\\a=3\ in[/tex]
The formula of a volume of a cube:
[tex]V=a^3[/tex]
Substitute:
[tex]V=3^3=27\ in^3[/tex]
