Math
Square pyramid
Find volume, slant height and surface area of a right square pyramid.
Calculators / Math / Triangular prism
Triangular prism calculator
Calculate volume and total surface area of a right prism with a triangular base.
On this page
Base area6units²
Volume60units³
Surface area132units²
Calculator controls
How to calculate
Calculate volume and total surface area of a right prism with a triangular base.
Base area = sqrt((a+b+c)/2*((a+b+c)/2-a)*((a+b+c)/2-b)*((a+b+c)/2-c)) units²; Volume = sqrt((a+b+c)/2*((a+b+c)/2-a)*((a+b+c)/2-b)*((a+b+c)/2-c))*l units³; Surface area = 2*sqrt((a+b+c)/2*((a+b+c)/2-a)*((a+b+c)/2-b)*((a+b+c)/2-c))+(a+b+c)*l units²
Worked example
Triangle side a: 3; Triangle side b: 4; Triangle side c: 5; Prism length: 10.
Base area: 6 units²; Volume: 60 units³; Surface area: 132 units².
Assumptions and limits
Use one length unit throughout. This is ideal geometry; it excludes material allowances and construction tolerances.
Results are rounded for display; calculations use unrounded values. Read our calculation methodology.
Understanding the result
Calculate volume and total surface area of a right prism with a triangular base.
When this tool is useful
Base area = sqrt((a+b+c)/2*((a+b+c)/2-a)*((a+b+c)/2-b)*((a+b+c)/2-c)) units²; Volume = sqrt((a+b+c)/2*((a+b+c)/2-a)*((a+b+c)/2-b)*((a+b+c)/2-c))*l units³; Surface area = 2*sqrt((a+b+c)/2*((a+b+c)/2-a)*((a+b+c)/2-b)*((a+b+c)/2-c))+(a+b+c)*l units²
Understanding your inputs
| Input | What to enter |
|---|---|
| Triangle side a | Enter a number of at least 1e-12 and no more than 1000000000000. |
| Triangle side b | Enter a number of at least 1e-12 and no more than 1000000000000. |
| Triangle side c | Enter a number of at least 1e-12 and no more than 1000000000000. |
| Prism length | Enter a number of at least 1e-12 and no more than 1000000000000. |
Frequently asked questions
What assumptions does this calculation use?
Use one length unit throughout. This is ideal geometry; it excludes material allowances and construction tolerances.
How is the result calculated?
Base area = sqrt((a+b+c)/2*((a+b+c)/2-a)*((a+b+c)/2-b)*((a+b+c)/2-c)) units²; Volume = sqrt((a+b+c)/2*((a+b+c)/2-a)*((a+b+c)/2-b)*((a+b+c)/2-c))*l units³; Surface area = 2*sqrt((a+b+c)/2*((a+b+c)/2-a)*((a+b+c)/2-b)*((a+b+c)/2-c))+(a+b+c)*l units²