Quick Pyramid Volume Calculator
Use the formula Volume = (Base Area × Height) ÷ 3. Choose your base type below.
What is the volume of a pyramid?
The volume of a pyramid tells you how much three-dimensional space is inside it. No matter what the base shape is—square, rectangular, or triangular—the same core rule applies: one-third of the base area multiplied by the vertical height.
That means if you know the area of the base and the perpendicular height, you can always find the volume quickly. This calculator is designed to make that process simple and reduce common input mistakes.
The formula you need
General equation
V = (B × h) / 3
- V = volume
- B = base area
- h = perpendicular (vertical) height
Base area shortcuts
- Square base: B = side²
- Rectangular base: B = length × width
- Known base area: use B directly
How to use this pyramid volume calculator
- Choose the base type.
- Enter the required base measurement(s).
- Enter the vertical height of the pyramid.
- Click Calculate Volume.
The calculator returns the base area and final volume in cubic units. If your measurements are in meters, your result will be in cubic meters (m³). If they are in feet, you get cubic feet (ft³), and so on.
Worked examples
Example 1: Square pyramid
Side = 8, Height = 12
Base area = 8² = 64
Volume = (64 × 12) / 3 = 256 cubic units
Example 2: Rectangular pyramid
Length = 10, Width = 6, Height = 9
Base area = 10 × 6 = 60
Volume = (60 × 9) / 3 = 180 cubic units
Common mistakes to avoid
- Using slant height instead of vertical height.
- Mixing units (for example, inches for base and feet for height).
- Forgetting to divide by 3.
- Entering a perimeter value instead of base area.
Practical uses of pyramid volume
Pyramid volume calculations show up in geometry classes, architecture drafts, construction estimating, manufacturing molds, and 3D modeling. Anytime you need storage capacity or material fill for a pyramid-like shape, this formula is useful.
FAQ
Can I use decimals?
Yes. Decimals are fully supported in every input field.
What if I already know base area?
Select Known base area and enter it directly to skip extra steps.
Is this for all pyramid types?
Yes, as long as you can determine the base area and perpendicular height. The formula remains the same for all pyramids.