Volumes formulas
| Shape | Figure | Surface area | Volume | Additional relations |
| Cube | $$6 \times c^2$$ |
$$c^3$$ |
$$diagonal=c \times \sqrt3$$ |
|
| Rectangular prism |  |
$$2 \times (a \times b+a \times h+b \times h)$$ |
$$a \times b \times h$$ |
$$d=\sqrt{a^2+b^2+h^2}$$ |
| Cone |  |
$$π \times r^2+π \times r\sqrt{r^2+h^2}$$ |
$$\frac{1}{3} \times π \times r^2 \times h$$ |
|
| Cylinder |  |
$$(2 \times π \times r^2)+(2 \times π \times r \times h)$$
| $$π \times r^2 \times h$$ |
|
| Sphere |  |
$$4 \times π \times r^2$$
| $$\frac{4}{3} \times π \times r^3$$ |
|
| Spherical cap |  |
$$π \times a^2+2 \times π \times r \times h$$
| $$\frac{1}{6} \times π \times h \times (3 \times a^2+h^2)$$ |
$$r=\frac{a^2+h^2}{2 \times h}$$ |
| Pyramid |  |
$$\frac{1}{3} \times B \times h$$ |
||
| Ellipsoid |  |
$$\frac{4}{3} \times π \times a \times b \times c$$ |
||
| Torus |  |
$$4 \times π^2 \times r \times R$$
| $$2 \times π^2 \times r^2 \times R$$ |
