Why is pyramid volume = ⅓ × base × height?

A pyramid is 1/3 the volume of a prism with same base and height. Geometric property.

Distance from apex along face to base edge midpoint. Different from vertical height.

How many faces does a square pyramid have?

5: one square base + 4 triangular sides.

Matematica

V = ⅓b²h | Square base, 4 triangular faces

Base side (b)

Height (h)

Formula-verified for precision

Reviewed October 2026

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