Dimensional Formula of Area

The dimensional formula of area is given by,

[M⁰ L² T⁰]

Where,

• M = Mass
• L = Length
• T = Time

Derivation

Area (A) = Length × breadth . . . . (1)

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

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

Area = Length × breadth

Or, A = [M⁰ L¹ T⁰] × [M⁰ L¹ T⁰] = [M⁰ L² T⁰]

Therefore, area is dimensionally represented as [M⁰ L² T⁰].

⇒ Check Other Dimensional Formulas:

• Dimensions of Modulus of Rigidity
• Dimensions of Relative Density
• Dimensions of Universal Gas Constant
• Dimensions of Power of Lens
• Dimensions of Linear Density