# Pyramid Volume Calculator

URL: https://speedycalculator.com/calculators/math/pyramid/
Last updated: 2026-10-25

> The pyramid calculator finds the volume, slant height and surface area of a right pyramid with a rectangular base from the base length, base width and height.

## Inputs

- Base length (m, cm, mm, km, in, ft, yd, mi)
- Base width (m, cm, mm, km, in, ft, yd, mi)
- Height (m, cm, mm, km, in, ft, yd, mi)

## Results

- Volume
- Slant height (to length edge)
- Slant height (to width edge)
- Total surface area

## Formula

```
V = ⅓ × base area × height
```

## Explanation

Like a cone, a pyramid holds one third of the prism with the same base and height.

### How to use the Pyramid Volume Calculator

- **Base length**
- **Base width**
- **Height**
- Want to work backwards? Type a value into **Volume** and **Height** is calculated for you.

Results update as you type, and every field accepts the units shown in its menu.

### How it works

Multiply base length by width, then by height, and divide by three. Slant heights come from Pythagoras.

### Inputs explained

FieldWhat to enterBase lengthUnits: m, cm, mm, km, in, ft …Base widthUnits: m, cm, mm, km, in, ft …HeightUnits: m, cm, mm, km, in, ft …

### What each result means

- **Volume** = [Base length]×[Base width]×[Height]÷3
- **Slant height (to length edge)** = sqrt([Height]^2 + ([Base width]÷2)^2)
- **Slant height (to width edge)** = sqrt([Height]^2 + ([Base length]÷2)^2)
- **Total surface area** = [Base length]×[Base width] + [Base length]×[Slant height (to length edge)] + [Base width]×[Slant height (to width edge)]

### Example values

How the main result changes when **Height** changes and everything else stays at the example values above:

Height (m)Volume (m³)224336448560672896

## Worked example

Inputs — Base length: 6 m; Base width: 6 m; Height: 4 m.

Results — **Volume = 48 m³**; Slant height (to length edge) = 5 m; Slant height (to width edge) = 5 m; Total surface area = 96 m².

## FAQ

**How big is the Great Pyramid?**
Its base is about 230 m square and it was originally about 147 m tall.

**Does this work for triangular bases?**
Use base area × height ÷ 3 with the triangle’s area.

**What formula does the Pyramid Volume Calculator use?**
V = ⅓ × base area × height.

**Can I work backwards from the result?**
Yes. Type the result you want into Volume and the calculator finds the matching height.