The volume $V$ of a pyramid can be calculated using the formula:

$V = \frac{1}{3} \times B \times h$

where:

• $B$ is the area of the base of the pyramid.
• $h$ is the height of the pyramid, measured as the perpendicular distance from the base to the apex (the top point).

Example:

For a pyramid with a square base where each side of the base is 4 units, and the height of the pyramid is 9 units:

1. Calculate the area of the base ($B$): $B = \text{side}^2 = 4^2 = 16 \text{ square units}$

2. Apply the volume formula: $V = \frac{1}{3} \times 16 \times 9 = \frac{1}{3} \times 144 = 48 \text{ cubic units}$

Would you like more details or have any questions?

Related Questions:

1. How do you find the volume of a pyramid with a triangular base?
2. What is the difference between the volume formulas for a cone and a pyramid?
3. How do you calculate the surface area of a pyramid?
4. How does the shape of the base affect the volume of a pyramid?
5. Can the height of a pyramid be slanted instead of perpendicular to the base?
6. How does the volume of a pyramid compare to the volume of a prism with the same base and height?
7. What are real-life examples where calculating the volume of a pyramid is useful?
8. How do you find the volume of a frustum (a cut-off pyramid)?

Tip:

Always ensure that the height you use in the volume formula is the perpendicular height from the base to the apex, not the slant height.