The dimensional formula of pressure is [M1L−1T−2][M^1L^{-1}T^{-2}][M1L−1T−2]. This dimensional formula is derived from the definition of pressure as force per unit area. Force has the dimensional formula [M1L1T−2][M^1L^1T^{-2}][M1L1T−2], and area has the dimensional formula [L2][L^2][L2]. Therefore, pressure as force divided by area results in:
Pressure=ForceArea=[M1L1T−2][L2]=[M1L−1T−2]\text{Pressure}=\frac{\text{Force}}{\text{Area}}=\frac{[M^1L^1T^{-2}]}{[L^2]}=[M^1L^{-1}T^{-2}]Pressure=AreaForce=[L2][M1L1T−2]=[M1L−1T−2]
This means pressure depends on mass (M), length (L), and time (T) with the above powers in dimensional analysis.
