Volume to Surface Area Calculator
Calculate surface area from volume for various 3D shapes with our precise geometry tool
Calculation Results
Additional dimensions will be displayed here.
Formula Breakdown
The formula used for calculation will appear here.
📐 Common 3D Shapes
Cube
V = s³
SA = 6s²
Sphere
V = (4/3)πr³
SA = 4πr²
Cylinder
V = πr²h
SA = 2πr² + 2πrh
Cone
V = (1/3)πr²h
SA = πr² + πr√(r²+h²)
Rectangular Prism
V = lwh
SA = 2(lw + lh + wh)
Square Pyramid
V = (1/3)b²h
SA = b² + 2b√((b²/4)+h²)
📚 Geometry Tips
Volume Basics
Volume measures the space a 3D shape occupies, while surface area measures the total area of all its faces.
Units Matter
Always use consistent units. Convert all measurements to the same unit before calculating.
Real-World Applications
Surface area is crucial for material estimation, heat transfer, and packaging design.
Formulas
Memorize basic formulas but understand their derivation for complex problems.
Visualization
Draw diagrams to visualize the shape and identify all faces for surface area.
Calculations
Double-check calculations, especially with π and square roots involved.
Note: This calculator provides precise calculations based on standard geometric formulas. Results are accurate when correct dimensions are provided. For irregular shapes, consider using approximation methods.