1Which is the dimensional formula of volume?
Volume works out to [L³].
MechanicsClass 11, Units and Measurements
Dimensional formula of Volume
[L3]
Length cubed. One litre is 10⁻³ m³, which changes the number, not the dimension.
How to get the dimensional formula of volume
- Start from the definition: volume = length3.
- Put in the dimension of each part: [L]3.
- Add the powers of each base quantity: [L3].
Three questions on volume
2What is the SI unit of volume?
The SI unit of volume is the cubic metre (m³).
3Do volume and moment of inertia have the same dimensions?
Volume is [L³] but moment of inertia is [M L²].
An equation that uses volume
Equation checker
Matching dimensions are necessary, not sufficient. A check cannot see pure numbers such as 1/2 or 2π, so a consistent equation can still be wrong.
Read as
P V = n R TPV[M L2 T-2]=nRT[M L2 T-2]Dimensionally consistentEvery term is [M L2 T-2]
Volume: quick answers
What is the dimensional formula of volume?
The dimensional formula of volume is [L³]. It comes from volume = length³.
What is the SI unit of volume?
The SI unit of volume is the cubic metre (m³).
Is volume dimensionless?
No. Volume has the dimensions [L³].