Answer
$$343$$
Work Step by Step
If a cube has edge length 7 cm, then its volume is $(7cm)^{3} = 343$. If a cube has a edge length of 1 cm, its volume is $(1cm)^{3}=1$. To calculate the number of 1 cm cubes contained in one 7 cm cube, we simply divide their volumes: $$\frac{343 cm^{3}}{1 cm^{3}} = 343$$
