Surface Area Calculator
Find the surface area of common solids, with the volume and formula shown.
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Square units
- Volume
- Also
- Work
Saved Calculations
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| Name | Calculation | Result | Remove |
|---|
Volume and Surface Area Formulas
Pick a solid and enter its measurements in one unit. Volume comes out in cubic units, surface area in square units.
| Solid | Volume | Surface Area |
|---|---|---|
| Cube | a³ | 6a² |
| Box | l × w × h | 2(lw + lh + wh) |
| Sphere | 4/3 πr³ | 4πr² |
| Hemisphere | 2/3 πr³ | 3πr² (with the flat base) |
| Cylinder | πr²h | 2πr(r + h) |
| Cone | πr²h ÷ 3 | πr(r + √(r² + h²)) |
| Frustum | πh(R² + Rr + r²) ÷ 3 | π(R + r)s + π(R² + r²) |
| Square pyramid | a²h ÷ 3 | a² + 2a√((a/2)² + h²) |
| Triangular prism | triangle area × l | 2 × triangle area + perimeter × l |
| Capsule | πr²(4/3 r + h) | 2πr(2r + h) |
| Torus | 2π²Rr² | 4π²Rr |
| Ellipsoid | 4/3 πabc | ≈ Thomsen’s formula (p = 1.6075) |
Worked Example
Tips
For tanks and containers, 1 cubic foot holds 7.48052 US gallons, 231 cubic inches is 1 US gallon, and 1,000 cm³ is 1 liter. See the tank volume calculator for partly filled tanks.