If force (F), velocity (V) and time (T) are considered as fundamental physical quantity, then dimensional formula of density will be:

We need to express density in terms of force (F), velocity (V), and time (T).

Dimensions: $$[F] = MLT^{-2}$$, $$[V] = LT^{-1}$$, $$[T] = T$$

From these:

$$[L] = [V][T] = LT^{-1} \cdot T = L$$

$$[M] = \frac{[F]}{[L][T]^{-2}} = \frac{[F]}{[V][T] \cdot [T]^{-2}} = \frac{[F]}{[V][T]^{-1}} = [F][V]^{-1}[T]$$

Density $$= [M][L]^{-3}$$:

$$[\rho] = [F][V]^{-1}[T] \cdot ([V][T])^{-3} = [F][V]^{-1}[T] \cdot [V]^{-3}[T]^{-3}$$

$$= [F][V]^{-4}[T]^{-2}$$

The dimensional formula of density is $$FV^{-4}T^{-2}$$.