Volume
The volume of a $3$ dimensional solid is the amount of space it occupies. Volume is measured in cubic units ( ${\text{in}}^{3},{\text{ft}}^{3},{\text{cm}}^{3},{\text{m}}^{3}$ , et cetera). Be sure that all of the measurements are in the same unit before computing the volume.
The following table gives the formulas for the volumes of some common solids. Here, $r$ denotes the radius of the figure, $h$ denotes the height, $B$ denotes the area of the base, and, in the case of the torus, $R$ denotes the distance from the center of the torus to the center of the tube.
Solids

Volume

Figure


Prism

$V=Bh$ 

Cube

$V={s}^{3}$ 

Pyramid

$V=\frac{1}{3}Bh$


Cylinder

$V=\pi {r}^{2}h$ 

Cone

$V=\frac{1}{3}\pi {r}^{2}h$


Sphere

$V=\frac{4}{3}\pi {r}^{3}$


Ellipsoid

$V=\frac{4}{3}\pi {r}_{1}{r}_{2}{r}_{3}$


Torus 
$2{\pi}^{2}R{r}^{2}$

