Pyramid Volume Calculator
Calculate the volume and surface area of a square pyramid from base side length and height.
Volume
96.0000
Base Area36.0000
Lateral Sa102.5280
Total Sa138.5280
Square Pyramid Formulas
Volume
V = (1/3) × base² × h
Slant Height
l = sqrt(h² + (base/2)²)
The slant height runs from the apex to the midpoint of a base edge.
Surface Area
Example Calculation
Square pyramid with base side 6 and height 8.
- 01Volume = (1/3) × 36 × 8 = 96
- 02Slant height = √(64 + 9) = √73 ≈ 8.544
- 03Lateral SA = 2 × 6 × 8.544 ≈ 102.53
- 04Total SA = 36 + 102.53 ≈ 138.53
Frequently Asked Questions
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