Square Pyramid Formulas
Slant Height:
$l = √(h² + (\frac{s}{2})²)$
Volume:
$V = \frac{1}{3}s²h$
Base Area:
$A_{base} = s²$
Lateral Area:
$A_{lateral} = 2sl$
Total Surface Area:
$SA = s² + 2sl$
Where $s$ is the side length of the square base, $h$ is the height, and $l$ is the slant height.
Example:
For a square pyramid with base side 8 units and height 6 units:
- Slant Height = √(6² + 4²) = √52 ≈ 7.21 units
- Volume = (1/3) × 8² × 6 = 128 cubic units
- Surface Area = 64 + 2 × 8 × 7.21 = 64 + 115.36 = 179.36 square units