To find the width \( w \) of the right rectangular prism, we can use the given formula for the volume \( V \):
\[ V = l \cdot w \cdot h \]
We know the volume \( V = 10 , \text{cm}^3 \), the length \( l = 1 , \text{cm} \), and the height \( h = 5 , \text{cm} \). We can rearrange the formula to solve for \( w \):
\[ w = \frac{V}{l \cdot h} \]
Substituting the known values:
\[ w = \frac{10 , \text{cm}^3}{1 , \text{cm} \cdot 5 , \text{cm}} = \frac{10 , \text{cm}^3}{5 , \text{cm}^2} = 2 , \text{cm} \]
Therefore, the width is
\[ \text{The width is } 2 \text{ cm.} \]