Case 1
- Triangle base
- 6
- Triangle height
- 4
- Prism length
- 10
120.00
Open with these valuesTriangular Prism Volume Calculator
120.00units³
Result: 120.00 units³Cross-section times length. The triangle contributes base × height ÷ 2, and the length carries it back. The halving applies to the triangle only — a tent 6 wide, 4 tall and 10 long holds 120, not 240.
The numbers at a glance
Held fixed: Triangle base 6.000, Triangle height 4.000.
| Prism length | Result |
|---|---|
| 2.500 | 30.00 |
| 5.000 | 60.00 |
| 7.500 | 90.00 |
| 10.000Your value | 120.00 |
| 12.500 | 150.00 |
| 15.000 | 180.00 |
| 17.500 | 210.00 |
| 20.000 | 240.00 |
Worked examples
Case 2
- Triangle base
- 3
- Triangle height
- 4
- Prism length
- 5
30.00
Open with these valuesCase 3
- Triangle base
- 10
- Triangle height
- 10
- Prism length
- 10
500.00
Open with these valuesHow it's calculated
V = (b × h ÷ 2) × l
- StepMeasure the base of the triangular end.
- StepMeasure the triangle's height, perpendicular to that base.
- ResultMeasure the length of the prism and read the volume.
Reference table
| Base, height, length | Cross-section | Volume |
|---|---|---|
| 2.5, 3, 7 | 3.75 | 26.25 |
| 3, 4, 5 | 6 | 30 |
| 5, 8, 2 | 20 | 40 |
| 6, 4, 10 | 12 | 120 |
| 10, 10, 10 | 50 | 500 |
Questions
How do you calculate the volume of a triangular prism?
Work out the triangle's area, base times height divided by two, then multiply by the length. A 6 by 4 triangle 10 long gives 120 cubic units.
Which height does the triangle need?
The perpendicular one — straight from the base to the opposite corner, not along a slanted side. For a right-angled triangle it is simply the upright leg.
Does it work for any triangle?
Yes, as long as both ends are the same triangle and the sides are straight. Base times height over two is the area of every triangle, not just symmetric ones.
Sources and last check
Information, not professional advice.