Pyramid Calculator
Compute volume and surface area of a regular square pyramid from base side and height.
About Pyramid Calculator
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
Worked example
With the default values below, Pyramid Calculator returns Volume of 96.0000. Change any input above and every figure here is recalculated in your browser.
Inputs used
- Base Side Lengthminimum 0 units
- 6 units
- Heightminimum 0 units
- 8 units
Results
- Volume
- 96.0000 cu units
- Total Surface Area
- 138.5280 sq units
- Lateral Area
- 102.5280 sq units
- Slant Height
- 8.5440 units
- Base Area
- 36.0000 sq units
Step by step
- 1Base area= 36
- 2Volume= 96.0000
- 3Slant height= 8.5440
- 4Total surface area= 138.5280
Assumptions and limits
- The result is derived only from the 2 inputs listed above. Anything not among them is not part of the calculation.
- In particular, this calculator does not take inflation, tax, fees or charges or compounding frequency into account.
- Figures are rounded for display to 4 decimal places, so totals built from several rounded parts can differ slightly from the unrounded arithmetic.
How these calculators are built and tested is described on the Methodology page. If a figure looks wrong, please report it.
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.