Dimensional Formula of Volume

The dimensional formula of volume is given by,

[M⁰ L³ T⁰]

Where,

• M = Mass
• L = Length
• T = Time

Derivation

Volume (V) = Length × breadth × height . . . . (1)

The dimensional formula of length = [M⁰ L¹ T⁰] . . . . (2)

On substituting equation (2) in equation (1) we get,

Volume = Length × breadth × height

Or, V = [M⁰ L¹ T⁰] × [M⁰ L¹ T⁰] × [M⁰ L¹ T⁰] = [M⁰ L³ T⁰]

Therefore, volume is dimensionally represented as [M⁰ L³ T⁰].

⇒ Check Other Dimensional Formulas:

• Dimensions of Surface Tension
• Dimensions of Universal Gas Constant
• Dimensions of Time Period
• Dimensions of Gravitational Potential Energy
• Dimensions of Dipole Moment