Let $K$ be algebraically closed, $\mathfrak{X}$ a strongly nondegenerate polystable formal model of $X^{\textup{an}}$ over $K^{\circ}$ with associated skeleton $\Delta$, $\tau$ an $n$-dimensional open face of $\Delta$ and $h$ a rational piecewise affine linear convex function on $\tau$. Then the metric on $\mathcal{O}_{X^{\textup{an}}}\Big|_{p_{\mathfrak{X}}^{-1}(\tau)}$ which is given by $\|1\|=e^{-h\circ p_{\mathfrak{X}}}$ is a semipositive piecewise $\mathbb{Q}$-linear metric.