Calculate triangular prism surface area, volume, and dimensions with step-by-step solutions. Perfect for geometry, architecture, and engineering calculations.
Comprehensive triangular prism calculations with detailed explanations
Calculate triangular prism surface area
Calculate triangular prism volume
Calculate lateral surface area
Calculate triangular base area
Understanding triangular prism geometry and calculations
Input base length, height, and prism length.
Use appropriate triangular prism formulas for calculations.
Receive all prism properties with step-by-step solutions.
SA = 2B + LSA
V = B × h
LSA = P × h
B = (1/2) × b × h
Common triangular prism calculations and their results
Surface Area: 62 cm²
Surface Area: 216 cm²
Surface area for material calculation
Load distribution area calculation
Common questions about triangular prism surface area calculations
The surface area of a triangular prism is the total area of all its faces. It includes the two triangular bases and the three rectangular lateral faces.
Use the formula SA = 2B + LSA, where B is the base area of the triangle and LSA is the lateral surface area (perimeter of base × height).
Lateral surface area includes only the three rectangular faces, while total surface area includes both triangular bases and all lateral faces.
Use the formula V = B × h, where B is the base area of the triangle and h is the height (length) of the prism.
Triangular prism surface area is used in architecture (roof trusses), engineering (structural beams), packaging design, and construction (concrete forms).
Use the formula B = (1/2) × base × height, where base is the length of the triangle's base and height is the triangle's height.
LSA = P × h, where P is the perimeter of the triangular base and h is the height (length) of the prism.
For an isosceles triangle: P = base + 2√((base/2)² + height²). For other triangles, add all three side lengths.
Yes! From surface area and known dimensions, you can calculate volume, lateral surface area, and other properties. Our calculator provides all these automatically.
Common values include: b=4, h=3, l=5 → SA=62 cm²; b=6, h=8, l=10 → SA=248 cm²; b=8, h=6, l=12 → SA=216 cm².
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