Math
Triangular prism
Calculate volume and total surface area of a right prism with a triangular base.
Calculators / Math / Square pyramid
Square pyramid calculator
Find volume, slant height and surface area of a right square pyramid.
On this page
Volume48units³
Slant height5units
Total surface area96units²
Calculator controls
How to calculate
Find volume, slant height and surface area of a right square pyramid.
Volume = a^2*h/3 units³; Slant height = sqrt(h^2+a^2/4) units; Total surface area = a^2+2*a*sqrt(h^2+a^2/4) units²
Worked example
Base side: 6; Vertical height: 4.
Volume: 48 units³; Slant height: 5 units; Total surface area: 96 units².
Assumptions and limits
The apex must be vertically above the centre of the square base. Use one length unit; surface area includes the base and all four triangular faces.
Results are rounded for display; calculations use unrounded values. Read our calculation methodology.
Understanding the result
Find volume, slant height and surface area of a right square pyramid.
When this tool is useful
Volume = a^2*h/3 units³; Slant height = sqrt(h^2+a^2/4) units; Total surface area = a^2+2*a*sqrt(h^2+a^2/4) units²
Understanding your inputs
| Input | What to enter |
|---|---|
| Base side | Enter a number of at least 1e-12 and no more than 1000000000000. |
| Vertical height | Enter a number of at least 1e-12 and no more than 1000000000000. |
Frequently asked questions
What assumptions does this calculation use?
The apex must be vertically above the centre of the square base. Use one length unit; surface area includes the base and all four triangular faces.
How is the result calculated?
Volume = a^2*h/3 units³; Slant height = sqrt(h^2+a^2/4) units; Total surface area = a^2+2*a*sqrt(h^2+a^2/4) units²