Pyramid Calculator
Compute volume and surface area of a regular square pyramid from base side and height.
Inputs
Volume
96.0000cu units
Total Surface Area
138.5280sq units
Lateral Area
102.5280sq units
Slant Height
8.5440units
Base Area
36.0000sq units
Step by step
Base area
B = 6²
= 36
Volume
V = ⅓ × 36 × 8
= 96.0000
Slant height
l = √(8² + (6/2)²)
= 8.5440
Total surface area
SA = 36 + 2×6×8.5440
= 138.5280
How it works
A regular square pyramid has a square base and apex directly above the center. Volume is (1/3) × base area × height. Each triangular face has area ½ × base edge × slant height.
Formulas
Volume
V = (1/3) × b² × h
- b
- Base side length
- h
- Pyramid height
Slant Height
l = √(h² + (b/2)²)
- h
- Height
- b
- Base side
Frequently Asked Questions
How many faces does a square pyramid have?
Five — one square base and four triangular faces.
What is the difference between height and slant height?
Height is the perpendicular distance from base to apex. Slant height is the distance from the base edge midpoint to the apex along a face.