Volume
The volume of a 3-dimensional solid is the amount of space it occupies. Volume units are in units cubed (in3, ft3, cm3, m3, 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 = s3 |
 |
Pyramid |
 |
 |
Cylinder |
V = πr2h |
|
Cone |
 |
 |
Sphere |
 |
 |
Ellipsoid |
 |
|
Torus |
2π2Rr2 |
 |
