  This note is a comment to the paper by D.R.Heath-Brown and B.Z.Moroz (Math
Proc. Camb. Phil. Soc. 125 (1999)). That paper concerns with the projective
surface $S$ in $\mathbb{P}^{3}$ defined by the equation
$x_{1}x_{2}x_{3}=x_{4}^{3}$. It is shown there that the evaluation of the
leading term of the asymptotic formula for the number of rational points of
bounded height in $S(\Q)$ is equivalent to the evaluation of the volume of some
6-dimensional polytope $\P$. The volume of $\P$ is known from several papers;
we calculate this volume by elementary method using symmetry of the polytope
$\P$. We also discuss a combinatorial structure of $\P$.
