How to derive the dimensional formula of pressure using its basic definition?

To derive the dimensional formula of pressure, let's start with its basic definition:

Pressure (P) = Force (F) / Area (A)

Now, let's break it down:

• The dimensional formula for Force (F) is MLT^-2 (where M is mass, L is length, and T is time).
• The dimensional formula for Area (A) is L² (since area is length × length).

Using these, we get:

P = F / A = [MLT^-2] / [L²] = ML^-1T^-2

Therefore, the dimensional formula for pressure is ML^-1T^-2.