What Is the Definition of “volume” in Math Terms?

In math, volume is the amount of space inside a three-dimensional object, or its capacity. A measurement of volume offers insight into how much liquid or how many physical objects a person can fit into an object. Knowing the volume of a truck is helpful when planning a move.

The formula for volume varies by shape. For a square or rectangle, volume is measured by multiplying length times width times height. An object that is 1 foot long by 3 feet wide by 5 feet deep has a volume of 15 cubic feet. The volume of a pyramid equals 1/3 times the length of the base times the height.