Recall that the area of a square is:
[tex]Area=side^2,[/tex]and the volume of a cube is:
[tex]Volume=side^3.[/tex]Since the base of the cube has an area of 324 meters squared, then:
[tex]324m^2=side^2[/tex]Then:
[tex]side=\sqrt{324m^2}=18m.[/tex]Therefore the volume of the given cube is:
[tex]Volume=(18m)^3.[/tex]Simplifying the above result we get:
[tex]Volume=5832m^3.[/tex]Answer:
[tex]5832m^3.[/tex]
