If the perimeter of one face of a cube is 24 cm, then its volume is:

The perimeter of one face of a cube is 24 cm.

Perimeter of a square = 4 × side

Volume of a cube = $$\text{side}^3$$​​

Let the side length of the cube be a cm.

So ,the perimeter of one face is 24 cm:

4a = 24

a = $$\frac{24}{4}$$​ = 6 cm

Now, the volume of the cube:

Volume = $$a^3 = 6^3 = 216 \text{ cm}^3$$​​

Thus, The volume of the cube is 216 cm³.