Surface Area Calculator
Calculate the surface area of 3D shapes including cubes, spheres, cylinders, and rectangular prisms with detailed step-by-step solutions.
Surface Area Calculator
About Surface Area
Surface area is the total area of all the faces or surfaces of a 3D object. It's measured in square units and is essential in various fields including architecture, engineering, and manufacturing.
Common Formulas
- Cube: SA = 6s² (where s is side length)
- Rectangular Prism: SA = 2(lw + wh + hl)
- Sphere: SA = 4πr² (where r is radius)
- Cylinder: SA = 2πr(r + h) (where r is radius, h is height)
Applications
- Paint Estimation: Calculate how much paint needed for walls
- Material Costs: Determine material requirements for construction
- Heat Transfer: Larger surface areas increase heat exchange
- Packaging: Optimize packaging design and costs