To find the missing dimension of the right rectangular prism, we need to use the formula for the volume \( V \) of a rectangular prism:
\[ V = l \times w \times h \]
where \( l \) is the length, \( w \) is the width, and \( h \) is the height.
In this problem, we have:
- Volume \( V = 4 , \text{cm}^3 \)
- One dimension (height) \( h = 1 , \text{cm} \)
- The other dimension (length) is \( l = 5 , \text{cm} \)
- We need to find the width \( w \).
Substituting the known values into the volume formula:
\[ 4 = 5 \times w \times 1 \]
This simplifies to:
\[ 4 = 5w \]
Now, we can solve for \( w \):
\[ w = \frac{4}{5} \] \[ w = 0.8 , \text{cm} \]
Therefore, the missing dimension \( w \) is \( \mathbf{0.8 , cm} \). The correct response is:
w = 0.8 cm