To find the height of the rectangular prism, we can use the formula for the volume of a rectangular prism:
\[ \text{Volume} = \text{length} \times \text{width} \times \text{height} \]
We are given the volume (4,914 ft³), the length (18 ft), and the width (13 ft). We can rearrange the formula to solve for the height:
\[ \text{height} = \frac{\text{Volume}}{\text{length} \times \text{width}} \]
Now, substituting in the values:
\[ \text{height} = \frac{4914 \text{ ft}^3}{18 \text{ ft} \times 13 \text{ ft}} \]
Calculating the product of the length and width:
\[ 18 \text{ ft} \times 13 \text{ ft} = 234 \text{ ft}^2 \]
Now, calculate the height:
\[ \text{height} = \frac{4914 \text{ ft}^3}{234 \text{ ft}^2} \approx 21 \text{ ft} \]
So, the height of the prism is 21 ft.