To find the height of the rectangular prism using the formula \( V = lwh \), we start by substituting the known values.
Given:
- \( V = 45 , \text{ft}^3 \)
- \( l = 5 , \text{ft} \)
- \( w = 3 , \text{ft} \)
We can rearrange the formula to solve for height \( h \):
\[ h = \frac{V}{lw} \]
Now, substitute the known values into the formula:
\[ h = \frac{45 , \text{ft}^3}{5 , \text{ft} \times 3 , \text{ft}} \]
Calculating the denominator:
\[ 5 , \text{ft} \times 3 , \text{ft} = 15 , \text{ft}^2 \]
Now substitute this back into the height equation:
\[ h = \frac{45 , \text{ft}^3}{15 , \text{ft}^2} \]
Now perform the division:
\[ h = 3 , \text{ft} \]
The height of the rectangular prism is \( 3 , \text{ft} \).
Correct response: The height is 3 feet.