Given :
The volume of a cube is related to the area of a face by the formula [tex]V=A^2[/tex].
To Find :
The volume of a cube whose face has an area of 100 cm.
Solution :
Area is :
A = 100 cm.
Putting value of A in given equation of volume.
We get :
[tex]V=100^2\ cm^2\\\\V=10000\ cm^2[/tex]
Therefore, volume of cube is 10000 cm².
Hence, this is the required solution.