If 1 meter = 100cm then what is the relationship between m3 and cm3?

If the 1m turns into 3m then he cm increases also by 3.The 3 meters would equal 300 cm.

1 m = 100 cm

Take the cube of both sides

(1m)³ = (100cm)³

1³ m³ = 100³ cm³

(1*1*1) m³ = (100*100*100) cm³

1 m³ = 1 000 000 cm³

Therefore 1 000 000 cm³ = 1 m³

One million cubic centimeters = One cubic meters. 

Hope this explains it.