Question

the perimeter of one face of a cube is 40cm. Find volume of cube in(cm3

Answer 1

A cube has all sides equal. Let side of cube be x cm. Now, we know face of a cube is a kind of square.
Perimeter of a face of a cube = 4 x cm
We are given perimeter of face of cube = 40 cm
$$\begin{gathered} \Rightarrow 4x=40 \\ \Rightarrow x=10\mathrm{cm} \\ \mathrm{Volume}\mathrm{of}\mathrm{cube}={\mathrm{side}}^3=x^3 \\ ={10}^3=1000{\mathrm{cm}}^3 \end{gathered}$$