If the sum of all the edges of a cube is 36 cm, then the volume (in `c m^3)` of that cube is (a) 9 (b) 27 (c) 219 (d) 729

Explanation

Sum of all edges of a cube is 36cm.

Let the edge of cubes be a.

Sum of all the edges of a cube = 12a (`therefore` cube has 12 edges)

`36=12a`

`a=3`

Volume of cube=`a^3`

Volume of cube=`3^3`=`27 cm^3`

Hence, option (b) is correct.