Volume of a prism

V=Pp⋅HV=P_p\cdot H

Result unit: volume units

What it describes

The volume of a prism is the base area multiplied by the height.

Symbols

VV
volume
PpP_p
base area
HH
height

Where it comes from

The volume is the base area times the height — like stacking layers of area PpP_p up to a height of HH. It works for any prism (a cuboid and a cube are special cases).

When to use it

Right and oblique prisms, cuboids.

Example

Base area 12 cm², height 5 cm. Find the volume.
SubstitutionPp=12P_p=12, H=5H=5.
ResultV=12⋅5=60V=12\cdot5=60 cm³.

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