Quadratic Equation Solver (ax² + bx + c = 0)
About Surface Area Calculator
The 3D Total Surface Area & Lateral Area Calculator computes total exterior surface area and lateral skin area for Cubes ($6s^2$), Rectangular Prisms, Cylinders ($2\pi rh + 2\pi r^2$), Cones ($\pi r l + \pi r^2$), Spheres ($4\pi r^2$), Pyramids, and Frustums.
How to Use Surface Area Calculator
Step 1
Select 3D shape from the dropdown menu.
Step 2
Enter boundary dimensions (radius, slant height, length, width).
Step 3
Toggle Open/Closed top and bottom caps if applicable.
Step 4
Review computed Total and Lateral Surface Area.
Practical Use Cases for Surface Area Calculator
Industrial Tank Protective Coating & Paint Coverage
Calculate total square meters of surface paint, epoxy coating, or insulation wrap needed for industrial cylindrical storage silos.
Thermal Heat Dissipation & Heat Sink Engineering
Compute total exterior convective surface area for electronic heatsinks, thermal radiators, and engine cooling fins.
Input & Output Examples
Calculating Surface Area of Closed Cylinder (r = 2m, h = 5m)
Shape: `Cylinder`, Radius: `2.0 m`, Height: `5.0 m`
Total Surface Area: `87.9646 m² (28π)` | Lateral Area: `62.8319 m² (20π)` | Top + Bottom Cap Area: `25.1327 m² (8π)`
Key Features & Performance
- ✓Computes: Total Surface Area (TSA), Lateral Surface Area (LSA / Curved Area), Base Cap Area.
- ✓Supports: Cube, Rectangular Box, Cylinder, Hollow Pipe Cylinder, Cone, Truncated Frustum, Sphere, Pyramid.
- ✓Material Estimator: computes paint cans or sheet metal rolls required based on standard manufacturer coverage rates.
- ✓100% Client-Side memory execution.
- ✓1-Click Copy surface area report.
Key Terminology & Definitions
Total Surface Area (TSA)
The sum of all planar and curved surface areas enclosing a 3-dimensional solid, including base caps.
Lateral Surface Area (LSA)
The surface area of the vertical or curved sides of a 3D solid, excluding the top and bottom base faces.