Given that,

1 calorie = 4.2 (1 kg) (1 m^{2}) (1 s^{–2})

New unit of mass = α kg

Hence, in terms of the new unit, 1 kg =1/α = α^{-1}

In terms of the new unit of length,

1 m = 1/β^{-1} or 1 m^{2} = β^{-2}

^{And, in terms of the new unit of time,}

^{}

^{1 calorie = }