Volume of a square pyramid calculator
Enter the dimensions of a square pyramid and read off its volume and surface area. Volumes convert to litres and gallons with the unit selector.
Volume
32m³
- Surface area
- 66.596 443
- Slant height
- 6.324 555 3
- Lateral edge length
- 6.633 249 6
Show the working
- Base side = 4
- Height = 6
- Volume = 4^2 * 6 / 3 = 32
- Surface area = 4^2 + 2*4*hypot(4/2, 6) = 66.5964
- Slant height = hypot(4/2, 6) = 6.324 56
- Lateral edge length = hypot(4/2 * sqrt(2), 6) = 6.633 25
Values are shown to six significant figures here; the arithmetic itself runs on exact fractions and is only rounded where a number is printed.
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The formula
- volume = base area x height / 3
- slant height = sqrt((base/2)^2 + h^2)
Switch the volume unit to litres or US gallons to read the capacity directly.