I rarely ask anything here, and I searched quite a while before posting this question. But I really can't imagine how this set looks like. I need to draw the set and compute the volume. $$ P=\{\begin{pmatrix}hx\\hy\\h\end{pmatrix}\in \mathbb R^3\mid -1\le x,y\le 1,0\le h\le 1\} $$ I figured that: $$ hx\in[-1,\infty),hy\in(-\infty,1] $$ Can you confirm that?
Would be very nice if someone can explain to me how I can plot such sets with matlab for e.g. If I can see the plot, it's somehow easier for me to compute: $$ \int_P 1d\lambda^3$$ Cheers.