What are the surface area and volume formulas for common 3D shapes?
List of surface area and volume formulas for solid figures
| Shape | Surface Area | Volume |
|---|---|---|
| Cube | 6 × a² | a³ |
| Cuboid | 2(lb + bh + hl) | l × b × h |
| Sphere | 4πr² | (4/3)πr³ |
| Hemisphere | Curved: 2πr² Total: 3πr² | (2/3)πr³ |
| Cylinder | Curved: 2πrh Total: 2πr(h + r) | πr²h |
| Cone | Curved: πrl Total: πr(l + r) | (1/3)πr²h |
| Triangular Prism | bh + l(a + b + c) | (1/2) × b × h × l |
| Square Pyramid | b² + 2bl | (1/3) × b² × h |
Notes:
a = side of cube or triangle base
b = breadth or triangle base
l = length or slant height
h = height (vertical)
r = radius
π ≈ 3.1416
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