Quick answer
The volume of a triangular prism is V = ½ × base × height × length. A triangle with base 3 and height 4 and a prism length of 10 gives a base area of 6 and a volume of 60.
Enter the triangle base and height and the prism length. The calculator returns the volume and base area.
Related tools: Prism Volume Calculator: Volume of any prism from base area and height. Rectangular Prism Volume Calculator: Volume of a rectangular prism (box). Triangular Pyramid Volume Calculator: Volume of a pyramid with a triangular base.
How to use the Triangular Prism Volume Calculator
- Enter triangle base (above 0).
- Enter triangle height (above 0).
- Enter prism length (above 0).
- Press Calculate to see the result, and use Reset to start again.
| Input | What to enter | Allowed values |
|---|---|---|
| Triangle base | A number | > 0 |
| Triangle height | A number | > 0 |
| Prism length | A number | > 0 |
Formula and method
Formula
V = ½ × b × h × l
IEEE-754 double precision; shown to at most 6 decimal places.
Triangle area times prism length.
Worked examples
These examples are verified: each one is an automated test case that the live calculator must reproduce exactly.
Example 1
Inputs: Triangle base = 3; Triangle height = 4; Prism length = 10.
| Result | Value |
|---|---|
| Volume | 60 |
| Base area | 6 |
Example 2
Inputs: Triangle base = 1; Triangle height = 1; Prism length = 1.
| Result | Value |
|---|---|
| Volume | 0.5 |
| Base area | 0.5 |
The first line is the headline result (volume). Below it the triangular Prism Volume Calculator lists base area, which describe the same case from other angles. IEEE-754 double precision; shown to at most 6 decimal places.
Base area times length
The base is a triangle of area ½ × 3 × 4 = 6; extruding it 10 units gives 60. A roof ridge, tent or wedge is a triangular prism.
Orientation
The length is the distance between the two triangular ends. All values must be positive. Surface area adds the triangle ends and three rectangles.
How the result changes with triangle base
Holding every other input at the first worked example, this table changes only triangle base. It shows how sensitive the answer is to that one value; each row was produced by running this calculator.
| Triangle base | Volume | Base area |
|---|---|---|
| 1.5 | 30 | 3 |
| 3 | 60 | 6 |
| 6 | 120 | 12 |
| 12 | 240 | 24 |
What happens with invalid input
These messages are produced by the calculator itself, so you know what to fix.
- Prism length: entering "0" shows "Prism length must be greater than 0." beside that field and no result.
Choosing between the Triangular Prism Volume Calculator and similar calculators
Each row shows what a related calculator on this site asks for and what it returns, so you can pick the one that matches your question.
| Calculator | You enter | It returns |
|---|---|---|
| [Prism Volume Calculator](/math/prism-volume-calculator/) | base area and height | Volume |
| [Rectangular Prism Volume Calculator](/math/rectangular-prism-volume/) | length, width and height | Volume |
| [Triangular Pyramid Volume Calculator](/math/triangular-pyramid-volume/) | triangle base, triangle height and pyramid height | Volume |
| [Volume of a Hemisphere Calculator](/math/volume-of-hemisphere/) | radius | Volume |
| [Aquarium Tank Volume Calculator](/math/aquarium-tank-volume-calculator/) | length, width and water height | Volume |
Background: geometry measurements
Geometry results carry units that depend on the quantity: a perimeter or length is in linear units such as cm, an area or surface area is in square units (cm²) and a volume is in cubic units (cm³). Use one length unit for every input, because the calculator multiplies the numbers as given.
Flat (2D) shapes have an area and a perimeter; solids (3D) have a surface area and a volume. Two familiar checks: a circle of radius r has area πr² and circumference 2πr, and a sphere has volume (4/3)πr³ and surface area 4πr².
Assumptions and limitations
- Positive dimensions
If a required value is empty, not a number, or outside its allowed range, the form marks that field with a message and shows no result instead of a misleading number. The automated checks deliberately try invalid entries for prism length to confirm this.
Frequently asked questions
What is the volume with base 6, height 4, length 5?
With base 6, height 4 and length 5 the volume is ½ × 6 × 4 × 5 = 60.
What is the length?
The distance between the triangular faces.
How is it related to a rectangular prism?
A triangular prism is half of a rectangular prism with the same base, height and length.
What does the Triangular Prism Volume Calculator calculate?
Volume of a triangular prism. It returns Volume and Base area.
What formula does the Triangular Prism Volume Calculator use?
V = ½ × b × h × l. Triangle area times prism length.
What do I need to enter in the triangular Prism Volume Calculator?
You enter Triangle base, Triangle height and Prism length.
What is an example of a triangular Prism Volume result?
With triangle base 3, triangle height 4 and prism length 10, the volume is 60.
Related calculators
- Prism Volume Calculator — Volume of any prism from base area and height.
- Rectangular Prism Volume Calculator — Volume of a rectangular prism (box).
- Triangular Pyramid Volume Calculator — Volume of a pyramid with a triangular base.
- Volume of a Hemisphere Calculator — Volume and surface area of a hemisphere.
- Aquarium Tank Volume Calculator — Volume of a rectangular tank in litres and US gallons.
- Cylinder Volume Calculator — Volume of a cylinder.
Sources
- Standard Euclidean geometry formulas (e.g. NIST Digital Library of Mathematical Functions §4, CRC Standard Mathematical Tables)
Content last reviewed 2026-11-04. Formulas and worked examples are checked by automated tests against independently computed values.