The surface area of a cube is 216 sq. m. What is its volume?

512cu.m.
480cu.m.
216cu.m.
l00 cu.m.

The correct answer is (c).

The surface area of a cube is the total area of all the faces of the cube. The formula for the surface area of a cube is $6a^2$, where $a$ is the length of one side of the cube.

We are given that the surface area of the cube is 216 square meters. Substituting this into the formula, we get $6a^2 = 216$. Solving for $a$, we get $a = 6$ meters.

The volume of a cube is the amount of space enclosed by the cube. The formula for the volume of a cube is $a^3$. Substituting $a = 6$ into the formula, we get $a^3 = 6^3 = 216$ cubic meters.

Therefore, the volume of the cube is 216 cubic meters.

The other options are incorrect because they are not the volume of a cube with a surface area of 216 square meters.