Square Pyramid Formulas
Square Pyramid
- Volume
- V = (1 ⁄ 3) a2h
- Slant height
- s = √(h2 + (a ⁄ 2)2)
- Surface area
- SA = a2 + 2as
- a base edge
- h height
- s slant height
Square Pyramid formulas explained
A square pyramid has a square base and four triangular faces meeting at the apex. Its volume is one third of the matching prism. Below are all the square pyramid formulas with what each letter means, a worked example and a free calculator.
- Volume:
V = (1 ⁄ 3) a²h - Slant height:
s = √(h² + (a ⁄ 2)²) - Surface area:
SA = a² + 2as
Square Pyramid calculator
Square Pyramid calculator
Worked example: volume of a square pyramid
Given Base edge a = 6 cm, Height h = 4 cm, substitute the values into each square pyramid formula:
- V = (1 ⁄ 3) × 6² × 4 = 48 cm³
- s = √(4² + (6 ⁄ 2)²) = 5 cm
- SA = 6² + 2 × 6 × s = 96 cm²
Square Pyramid formulas FAQ
What is the formula for the volume of a square pyramid?
The volume of a square pyramid is V = (1 ⁄ 3) a²h, where a is the base edge, h is the height.
What is the formula for the slant height of a square pyramid?
The slant height of a square pyramid is s = √(h² + (a ⁄ 2)²), where a is the base edge, h is the height, s is the slant height.
What is the formula for the surface area of a square pyramid?
The surface area of a square pyramid is SA = a² + 2as, where a is the base edge, s is the slant height.
Can I download the square pyramid formulas as a PDF?
Yes. Use the Download PDF button on this page for a free printable square pyramid formula sheet with a worked example and practice questions.