Prism Calculator
Calculate volume and surface area of a triangular prism from base dimensions and length.
Inputs
Volume
60.0000cu units
Total Surface Area
132.0000sq units
Lateral Area
120.0000sq units
Triangular Base Area
6.0000sq units
Step by step
Base area (Heron's)
A_base = √(6×3.00×2.00×1.00)
= 6.0000
Volume
V = 6.0000 × 10
= 60.0000
Total SA
SA = 120.0000 + 2×6.0000
= 132.0000
How it works
A triangular prism has two parallel triangular faces and three rectangular lateral faces. Volume = base area × length. The base area is found via Heron's formula.
Formulas
Volume
V = base area × length
- A_base
- Area of the triangular cross-section
- l
- Prism length
Surface Area
SA = perimeter × length + 2 × base area
- P
- Triangle perimeter
- l
- Prism length
- A_base
- Triangle area
Frequently Asked Questions
Does this work for non-right prisms?
This formula assumes a right prism (lateral edges perpendicular to the base). For oblique prisms, volume is still base area × perpendicular height.
Can I use this for other base shapes?
The formula V = base area × length works for any prism. This calculator uses a triangular base specifically.