Würfel in Schrägbildperspektive mit beschrifteten Eckpunkten und Kanten. Anpassbar für Aufgaben zur räumlichen Geometrie. Aus der technischen TikZ-Galerie von Sarmate (Quellen: MartinThoma/LaTeX-examples unter MIT, TeXample.net unter LPPL) — siehe auch unsere 900+ Figuren auf /tikz-gallery.php.
\documentclass[border=5pt]{standalone}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}[scale=2]
% Sommets arrière
\coordinate (E) at (0.8,0.5);
\coordinate (F) at (2.8,0.5);
\coordinate (G) at (2.8,2.5);
\coordinate (H) at (0.8,2.5);
% Sommets avant
\coordinate (A) at (0,0);
\coordinate (B) at (2,0);
\coordinate (C) at (2,2);
\coordinate (D) at (0,2);
% Arêtes arrière (pointillés)
\draw[dashed,gray] (E) -- (F);
\draw[dashed,gray] (E) -- (H);
\draw[dashed,gray] (E) -- (A);
% Arêtes visibles
\draw[thick] (A) -- (B) -- (C) -- (D) -- cycle;
\draw[thick] (B) -- (F) -- (G) -- (C);
\draw[thick] (D) -- (H) -- (G);
% Diagonale du cube
\draw[red,thick,dashed] (A) -- (G) node[midway,above right,font=\small] {$a\sqrt{3}$};
% Labels
\node[below left,font=\small] at (A) {$A$};
\node[below right,font=\small] at (B) {$B$};
\node[right,font=\small] at (C) {$C$};
\node[above left,font=\small] at (D) {$D$};
\node[left,font=\small] at (E) {$E$};
\node[below right,font=\small] at (F) {$F$};
\node[above right,font=\small] at (G) {$G$};
\node[above,font=\small] at (H) {$H$};
% Côté
\draw[<->,blue] (0,-0.3) -- (2,-0.3) node[midway,below,font=\small] {$a$};
\end{tikzpicture}
\end{document}