Q. 84.0( 13 Votes )

# If the sum of the areas of 6 surfaces of the cube be 216 sq. cm , then let us calculate the volume of the cube.

Answer :

Let the edge of a cube be a cm.

We know that total surface area of cube is 6a^{2}

According to question,

6a^{2} = 216

a^{2} = = 36

a = √36 = 6 cm

As, volume of cube is a^{3}

Therefore, volume = 6^{3} = 216 cubic cm.

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