Pyramid Volume Calculator

Calculate pyramid volume from a base area and perpendicular height.

Last updated: June 2026 | By Patchworkr Team

Height

Base Length

Volume is always one-third of base area times height. Lateral area is estimated from the perimeter and slant height for regular or symmetric bases.

Live Results

Base Type

Square (5 x 5)

Base Area

Volume

33.33333333

Slant Height

4.71699057

Lateral Area

47.16990566

Total Surface Area

72.16990566

Perimeter

Formula Notes

Volume: V = (1/3) x base area x height

Square base: area = s^2

Rectangle base: area = l x w

Regular polygon base: area = (perimeter x apothem) / 2

Example: square pyramid, side 6, height 5

Base area: 6^2 = 36

Volume: 36 x 5 / 3 = 60

Slant height: sqrt(5^2 + 3^2) ≈ 5.83095189

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