Master Math Formulas Reference
A comprehensive reference sheet of essential mathematical formulas for three-dimensional solid shapes and two-dimensional figures.
3D Solid Geometry Formulas
| Geometric Shape | Volume Formula (V) | Surface Area Formula (A) | Primary Variable |
|---|---|---|---|
| Sphere | V = (4/3)πr³ = (1/6)πd³ |
A = 4πr² = πd² |
r = radius, d = diameter |
| Cube | V = a³ |
A = 6a² |
a = edge length |
| Cylinder | V = πr²h |
A = 2πr(r + h) |
r = base radius, h = height |
| Cone | V = (1/3)πr²h |
A = πr(r + l) |
l = slant height \( \sqrt{r^2+h^2} \) |
| Hemisphere | V = (2/3)πr³ |
A = 3πr² |
r = radius |
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