How to Calculate Triangular Prism Volume
Learn to calculate the volume of triangular prisms with detailed formulas and step-by-step examples.
Understanding how to calculate the volume of a triangular prism is important for various applications in mathematics, engineering, and everyday life.
Triangular Prism Volume Formula
V = (1/2) × b × h × L
Where:
- V = Volume
- b = Base length of the triangular face
- h = Height of the triangular face
- L = Length of the prism
Alternatively, you can use:
V = A × L
Where A is the area of the triangular face (A = (1/2) × b × h).
Use Our Triangular Prism Volume CalculatorStep-by-Step Guide
- Identify the dimensions
Measure the base and height of the triangular face, and the length of the prism.
- Calculate the area of the triangular face
Use the formula A = (1/2) × b × h.
- Multiply by the length
Calculate the volume using V = A × L.
- Verify your answer
Check that your final volume is in cubic units (e.g., cm³, m³, in³).
Example Calculation
Problem: Calculate the volume of a triangular prism with a triangular face of base 6 cm and height 4 cm, and a length of 10 cm.
Given: b = 6 cm, h = 4 cm, L = 10 cm
Solution:
- Calculate the area of the triangular face: A = (1/2) × b × h = (1/2) × 6 × 4 = 12 cm²
- Calculate the volume: V = A × L = 12 × 10 = 120 cm³
Answer: The volume is 120 cubic centimeters (cm³).
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