Question

a cube has a base with area of 324 meters squared . what is the volume of the cube, to the nearest unit?

Answer 1

Recall that the area of a square is:

`Area=side^2,`

and the volume of a cube is:

`Volume=side^3.`

Since the base of the cube has an area of 324 meters squared, then:

`324m^2=side^2`

Then:

`side=√(324m^2)=18m.`

Therefore the volume of the given cube is:

`Volume=(18m)^3.`

Simplifying the above result we get:

`Volume=5832m^3.`

Answer:

`5832m^3.`