Pyramid Volume Calculator

Your details

Square and rectangular bases use length and width. Triangular and hexagonal bases use side length only.
Length of one side of the regular base polygon.
cm
The straight vertical distance from the centre of the base to the apex. Do not use slant height.
cm
Volume
108cm³
Base area36cm²
Lateral face area113.84cm²
Total surface area149.84cm²
Slant height9.487cm
Lateral edge length9.95cm
Base perimeter24cm

This square pyramid holds 108 cm^3.

  • Volume is exactly one third of a prism with the same base and height: V = (1/3) x base area x height.
  • The square base covers 36 cm^2. One third of stacking that base to the height gives 108 cm^3.
  • The total surface area (base + all lateral faces) is 149.84 cm^2, useful for material estimates like paint or wrapping.
  • Doubling the height doubles the volume, but doubling all base sides multiplies it by four.

Next stepFor capacity: divide cm^3 by 1,000 to get litres, or by 1,000,000 to get cubic metres.

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