Lesson 4: Volume of Prisms and Cylinders

Property

The volume of any prism can be calculated using the formula $V = B \times h$, where $B$ is the area of the base and $h$ is the height. Different prisms with the same base area and height will have the same volume, regardless of the shape of their base.

Examples

Property

A cylinder is a solid figure with two parallel circular bases of the same size. For a cylinder with radius $r$ and height $h$:

Volume: $V = \pi r^2 h$ or $V = Bh$ (where $B$ is the area of the base)

Property

To convert between units of volume, you must cube the linear unit conversion factor. If the linear conversion is $1 \text{ unit A} = k \text{ unit B}$, then the volume conversion is:

Examples