Pyramid Volume Calculator

About Pyramid Volume Calculator

Pyramid volume = ⅓ × base area × height. Works for any base shape (square, triangular, etc).

How to use this calculator

1. Enter the base area of the pyramid.
2. Enter the perpendicular height.
3. Use the calculator to compute the volume.

The formula explained

• \(\text{Volume}\) = the amount of space inside the pyramid
• \(\text{base area}\) = the area of the pyramid's base
• \(\text{height}\) = the perpendicular height from the base to the apex

Step by step method

1. Find the area of the base first, using the correct area formula for the base shape.
2. Measure the perpendicular height, not a slanted edge.
3. Multiply the base area by the height.
4. Divide the result by 3 to get the pyramid's volume.

Worked example

Suppose a pyramid has a square base with an area of 36 square meters and a height of 9 meters.

1. Use the formula \(\text{Volume} = \frac{1}{3} \times \text{base area} \times \text{height}\).
2. Substitute the values: \(\frac{1}{3} \times 36 \times 9\).
3. Compute the product: \(36 \times 9 = 324\), then divide by 3 to get 108.

Tips and common mistakes

• Make sure you use the perpendicular height, not the side length along the pyramid face.
• Check that your base area is in square units before calculating volume.
• If your base is not already an area, calculate that first from the base shape.
• Use consistent units throughout, such as meters and square meters.

Frequently asked questions