Pyramid volume calculator

Calculate pyramid volume from the base area and perpendicular height. Apply V = A × h ÷ 3 and check an example with square and cubic units.

Result

One third of a prism

Turn on the dashed outline: a prism with the same base and height has three times the volume. The lower handle changes base area; the right handle changes height.

How do you calculate pyramid volume?

Multiply the base area by the perpendicular height and divide by three. This formula works for any base shape.

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

How to use the calculator

Enter measurements with a decimal point or comma: results update immediately. Input units apply to every length; changing them converts the measurements. Changing result units leaves the shape unchanged. The control below the drawing reveals or hides its visual explanation. Copy results includes valid measurements and the result. Reset and Try this example restore the initial values and centimetre units.

The first formula shows the relationship; the second substitutes measurements converted to the result unit. The ≈ sign indicates rounding, including in the substituted values.

Same base, different volumes

With a base area of 12 cm² and height of 3 cm, the prism occupies 36 cm³ and the pyramid 12 cm³.

From measurements to the result

Input: $B = 12 {cm}^{2}; h = 3 cm$
Result: $12 {cm}^{3}$

Calculation steps

Find the volume of the matching prism.
$Vₚ = 12 \times 3 = 36$
Complete the calculation using the tool’s formula.
$V = \frac{36}{3} = 12$

Units and interpretation

Volume uses cubic units: 1 m³ = 1,000,000 cm³ = 1,000 L. Capacity in litres is geometric; use internal measurements for real containers.

The square base is illustrative. Enter your actual base area, up to 10²⁴ in the selected square unit. Height is different from a sloping edge.

Precision and numerical limits

Lengths range from 0 to 10¹² in the selected unit; triangle sides must be strictly positive. Results use two decimal places, with scientific notation for very small or large values. Calculations use browser precision: unrepresentable positive values produce an error. A rejected unit change keeps the previous data. Calculation takes place in your browser.

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Pyramid volume calculator

Result

One third of a prism

How do you calculate pyramid volume?

How to use the calculator

Same base, different volumes

From measurements to the result

Calculation steps

Units and interpretation

You might also need

Circle area

Circle circumference

Triangle area