Find the dimensions of mass in terms of Energy, length and time.

Explanation

Let the dimensions of Energy, Length and Time be [E],[L],[T] respectively.
We know that Force = mass `xx` acceleration
Mass = `("Force")/("acceleration") = ("Work done (or) Energy")/("acceleration" xx "displacement")`
`[m] = ("Energy")/(["acceleration"]["displacement"]) = ([E])/([LT^(-2)][L]) = ([E])/([L^(2)T^(-2)]) = [EL^(-2)T^(2)]`