  Let $E$ be a $(\mathrm{IV})$-polyhedral Banach space. We show that, for each
$\epsilon>0$, $E$ admits an $\epsilon$-equivalent $\mathrm{(V)}$-polyhedral
norm such that the corresponding closed unit ball is the closed convex hull of
its extreme points.
  In particular, we obtain that every separable isomorphically polyhedral
Banach space, for each $\epsilon>0$, admits an $\epsilon$-equivalent
$(\mathrm{V})$-polyhedral norm such that the corresponding closed unit ball is
the closed convex hull of its extreme points.
