The physical quantity that has the same dimensional formula as work is energy. The dimensional formula of work is given by [ML2T−2][ML^2T^{-2}][ML2T−2]. This is derived from work being the product of force and displacement, where force has the dimensional formula [MLT−2][MLT^{-2}][MLT−2] and displacement has the dimensional formula [L][L][L], resulting in:
[Work]=[Force]×[Displacement]=[MLT−2]×[L]=[ML2T−2][Work]=[Force]\times [Displacement]=[MLT^{-2}]\times [L]=[ML^2T^{-2}][Work]=[Force]×[Displacement]=[MLT−2]×[L]=[ML2T−2]
Energy has the same dimensional formula as work, [ML2T−2][ML^2T^{-2}][ML2T−2], while other quantities like force [MLT−2][MLT^{-2}][MLT−2], power [ML2T−3][ML^2T^{-3}][ML2T−3], and torque (which also shares the same formula as work and energy) differ. Thus, work and energy share the same dimensional formula.