What are the dimensions of:
A. volume of a cube of edge a,
B. volume of a sphere of radius a,
C. the ratio of the volume of a cube of edge a to the volume of a sphere of radius a?
A. Volume of cube of edge a = a3
π is dimension less
∴ Dimension is L3
B. Volume of a sphere of radius a = 
π is dimensionless
∴ Dimension is L3
C. The ratio of the volume of a cube of edge a to the volume of the sphere of radius 
∴ this is dimensionless
1