Surface Area Calculator
Calculate surface area of 3D shapes
Surface Area Calculation
Surface Area Calculator
Calculate the surface area of various 3D shapes. Essential for mathematics, engineering, and material calculations.
How to Use Surface Area Calculator
- 1.**Select shape** from the dropdown menu
- 2.**Enter required dimensions** (length, width, height, radius, or side)
- 3.**Click "Calculate Surface Area"** to get results
- 4.**View surface area** in square units
Features
- •**Multiple Shapes**: Cube, rectangular prism, cylinder, sphere
- •**Real-time Calculation**: Instant surface area results
- •**Unit Support**: Works with any consistent units
- •**Formula Display**: Shows calculation formulas
Surface Area Formulas
- •**Cube**: SA = 6 × s² (6 × side²)
- •**Rectangular Prism**: SA = 2(lw + lh + wh)
- •**Cylinder**: SA = 2πr² + 2πrh (2πr² + 2πrh)
- •**Sphere**: SA = 4πr² (4 × pi × radius²)
Common Applications
- •**Construction**: Paint coverage, material requirements
- •**Manufacturing**: Surface treatment, coating calculations
- •**Packaging**: Material needed for containers
- •**Engineering**: Heat transfer, surface interactions
- •**Education**: Learn 3D geometry concepts
Tips for Accurate Calculations
- •**Use consistent units** for all measurements
- •**Double-check dimensions** before calculating
- •**Consider material properties** (porosity, texture)
- •**Add waste factor** for paint/coating materials
- •**Account for overlapping areas** in complex shapes
Unit Conversions
- •**1 square meter** = 10.76 square feet
- •**1 square foot** = 144 square inches
- •**1 square yard** = 9 square feet
- •**Paint Coverage**: Typically 350-400 sq ft per gallon
Practical Examples
- •**Paint Room**: 10ft × 12ft × 8ft = 592 sq ft
- •**Coating Tank**: radius 3ft, height 6ft = 169.6 sq ft
- •**Gift Wrap Cube**: side 6in = 216 sq in
- •**Sphere Surface**: radius 2ft = 50.3 sq ft
Surface Area vs Volume
- •**Surface Area**: Outer boundary measurement
- •**Volume**: Internal space measurement
- •**Ratio**: Important for heat transfer and chemistry
- •**Applications**: Different uses for each measurement