Respuesta :

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]

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