To solve the problem of finding the volume of the rectangular pyramid shown in the image:

Formula for the volume of a pyramid:

$V = \frac{1}{3} \cdot \text{Base Area} \cdot \text{Height}$

Step 1: Identify the base and height of the pyramid

• Base dimensions: The base of the pyramid is a rectangle with dimensions $18 \, \text{m} \times 18 \, \text{m}$. So, the area of the base is: $\text{Base Area} = 18 \cdot 18 = 324 \, \text{m}^2$

• Height of the pyramid: The height is the perpendicular distance from the apex to the base, which is labeled as $16 \, \text{m}$.

Step 2: Substitute values into the formula

$V = \frac{1}{3} \cdot 324 \cdot 16$

Step 3: Perform the calculation

$V = \frac{1}{3} \cdot 5184 = 1728 \, \text{m}^3$

Final Answer:

The volume of the rectangular pyramid is: $\boxed{1728 \, \text{cubic meters}}$

Do you want more details or have any questions?
Here are five related questions to extend your understanding:

1. What is the formula for the volume of other types of pyramids, such as triangular pyramids?
2. How does the orientation of the height (perpendicular distance) affect volume calculations?
3. Can the formula for the volume of a pyramid be derived using the volume of a prism?
4. If the height of the pyramid were doubled, how would the volume change?
5. What would be the volume if the base dimensions were halved but the height stayed the same?

Tip: Always ensure the height used in calculations is perpendicular to the base!