Comprehensive Formulas Reference
| Solid | Curved / Lateral Surface Area | Total Surface Area | Volume |
|---|---|---|---|
| Cube (edge $a$) | $4a^2$ | $6a^2$ | $a^3$ |
| Cuboid ($l, b, h$) | $2h(l + b)$ | $2(lb + bh + hl)$ | $lbh$ |
| Right Cylinder ($r, h$) | $2\pi rh$ | $2\pi r(r + h)$ | $\pi r^2 h$ |
| Right Cone ($r, h, l$) | $\pi rl$ where $l = \sqrt{r^2 + h^2}$ | $\pi r(l + r)$ | $\frac{1}{3}\pi r^2 h$ |
| Sphere ($r$) | $4\pi r^2$ | $4\pi r^2$ | $\frac{4}{3}\pi r^3$ |
| Hemisphere ($r$) | $2\pi r^2$ | $3\pi r^2$ | $\frac{2}{3}\pi r^3$ |
