To find the width (w) of the right rectangular prism, we can use the formula for the volume of a rectangular prism:
\[ V = l \cdot w \cdot h \]
Given:
- Volume \( V = 10 , \text{cm}^3 \)
- Length \( l = 1 , \text{cm} \)
- Height \( h = 5 , \text{cm} \)
We can rearrange the formula to solve for \( w \):
\[ w = \frac{V}{l \cdot h} \]
Now, substituting the values:
\[ w = \frac{10 , \text{cm}^3}{1 , \text{cm} \cdot 5 , \text{cm}} \]
Calculating the denominator:
\[ 1 \cdot 5 = 5 \]
Now substituting back:
\[ w = \frac{10}{5} = 2 , \text{cm} \]
So, the width is:
2