What is the Dimensional Formula of Volume?

Let's delve into the dimensional formula of volume.

The formula is expressed as:

[M ⁰ L ³ T ⁰ ]

Here's what each symbol represents:

• M stands for Mass
• L denotes Length
• T signifies Time

How is it derived?

The calculation of volume (V) involves multiplying Length, Breadth, and Height, as shown in equation (1).

Volume (V) = Length × Breadth × Height . . . . (1)

The dimensional formula of length is [M ⁰ L ¹ T ⁰ ] . . . . (2)

By substituting equation (2) into equation (1), we get:

Volume = Length × Breadth × Height

Or, V = [M ⁰ L ¹ T ⁰ ] × [M ⁰ L ¹ T ⁰ ] × [M ⁰ L ¹ T ⁰ ] = [M ⁰ L ³ T ⁰ ]

Thus, the dimensional representation of volume is [M ⁰ L ³ T ⁰ ].

Explore 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