Quadratic Equation Solver (ax² + bx + c = 0)
About Prism Calculator
The Comprehensive 3D Prism Geometry Calculator computes Volume ($V = A_{base} \times h$), Lateral Area ($LSA = P_{base} \times h$), and Total Surface Area ($TSA = LSA + 2A_{base}$) for Triangular, Rectangular, Pentagonal, Hexagonal, and Trapezoidal Prisms.
How to Use Prism Calculator
Step 1
Select the cross-sectional base geometry (Triangle, Rectangle, Trapezoid, Hexagon).
Step 2
Enter base dimensions and the prism height / extrusion length.
Step 3
Review computed volume, lateral surface area, and total surface area.
Step 4
Click "Copy Prism Report".
Practical Use Cases for Prism Calculator
Roof Gable Rafters & Triangular A-Frame Building Design
Calculate interior living volume and exterior insulation roof sheeting area for triangular prism A-frame cabins.
Optical Dispersion Glass Prisms & Concrete Slabs
Compute glass volume and refractive boundary facet areas for equilateral triangular optical prisms.
Input & Output Examples
Calculating Triangular Prism (Base = 6m, Height_b = 4m, Length = 10m)
Base Triangle: `Base 6m, Height 4m (Isosceles)`, Prism Length ($h$): `10.0 m`
Volume: `120.0 m³` | Base Area: `12.0 m²` | Lateral Surface Area: `160.0 m²` | Total Surface Area: `184.0 m²`
Key Features & Performance
- ✓Base Shapes: Triangular Prism, Rectangular Prism / Box, Trapezoidal Prism, Pentagonal Prism, Hexagonal Prism, Regular $N$-gon Prism.
- ✓Computes: Base Area, Base Perimeter, Lateral Skin Area, Total Surface Area, and Volumetric Capacity.
- ✓Right Prisms and Oblique Prisms support.
- ✓100% Client-Side memory execution.
- ✓1-Click Copy prism geometric report.
Key Terminology & Definitions
Right Prism
A 3D polyhedron with two parallel congruent polygonal bases whose connecting lateral faces are rectangles perpendicular to the bases.
Lateral Surface Area (LSA)
The sum of the areas of all lateral rectangular faces of the prism, calculated as Base Perimeter $\times$ Height ($LSA = P \times h$).