The dimensional formula of pressure is [M1L−1T−2][M^1L^{-1}T^{-2}][M1L−1T−2]. This 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].
- Area has the dimensional formula [L2][L^2][L2].
- Therefore, pressure = force/area = [M1L1T−2]/[L2]=[M1L−1T−2][M^1L^1T^{-2}]/[L^2]=[M^1L^{-1}T^{-2}][M1L1T−2]/[L2]=[M1L−1T−2].
Hence, pressure depends on mass (M), length (L), and time (T) in this specific combination.
