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Nov 14th, 2018
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  1. \documentclass[]{article}
  2. \usepackage[utf8]{inputenc}
  3. \usepackage{fourier}
  4. \usepackage{SIunitx}
  5. \usepackage{amsmath,amssymb,amsfonts}
  6. \usepackage{tikz}
  7. \usetikzlibrary{calc,3d}
  8.  
  9. \begin{document}
  10. \begin{minipage}{0.4\textwidth}
  11. \begin{tikzpicture}[x  = {(-0.5cm,-0.5cm)},
  12.                    y  = {(0.9659cm,-0.25882cm)},
  13.                    z  = {(0cm,1cm)},
  14.                    scale = 4,
  15.                    color = {lightgray}]
  16. % style of faces
  17. \tikzset{facestyle/.style={fill=lightgray,draw=red,very thin,line join=round}}
  18. % face "back"
  19. \begin{scope}[canvas is zy plane at x=0]
  20.  \path[facestyle,shade] (0,0) rectangle (1.8,0.6);
  21. \end{scope}
  22. % face  "left"
  23. \begin{scope}[canvas is zx plane at y=0]
  24.  \path[facestyle,shade] (0,0) rectangle (1.8,1.45);
  25. \end{scope}
  26. % face "front"
  27. \begin{scope}[canvas is zy plane at x=1.45]
  28.  \path[facestyle] (0,0) rectangle (1.8,0.6);
  29. \end{scope}
  30. % face  "right"
  31. \begin{scope}[canvas is zx plane at y=0.6]
  32.  \path[facestyle] (0,0) rectangle (1.8,1.45);
  33. \end{scope}
  34.  
  35. %face "up"
  36. \begin{scope}[canvas is yx plane at z=1.8]
  37.  \path[facestyle] (0,0) rectangle (0.6,1.45);
  38. \end{scope}
  39.  
  40. % labels
  41. \draw[very thin,black,line join=round]
  42.      (0,0.6,1.8) -- node [below] {$a$}
  43.     (1.45,0,1.8) -- node [right]        {$b$}
  44.     (1.45,0.6,0) -- node [left] {$c$}
  45.     (0,0.6,1.8);
  46. \draw[very thin, gray,dashed,line join=round]
  47.    (0,0,0)--
  48.    (1.45,0,0) -- node[left]{$d$}
  49.    (0,0.6,1.8);
  50. \draw[very thin, gray,dashed,line join=round]
  51.    (0,0.6,0)-- (0,0,0) -- (0,0,1.8);
  52. \draw[very thin,black,|<->|]
  53.    (0,-0.015,1.81) -- node[sloped,above,fill=white]{\SI{1,45}{\metre}}
  54.    (1.45,-0.015,1.81);
  55.    \draw[very thin,black,|<->|]
  56.    (0,0.005,1.82) -- node[sloped,above,fill=white]{\SI{0,6}{\metre}}
  57.    (0,0.605,1.82);
  58. \draw[very thin,black,|<->|]
  59.    (0,0.62,0.005) -- node[right]{\SI{1,8}{\metre}}
  60.    (0,0.62,1.805);
  61. \end{tikzpicture}
  62. \end{minipage}
  63. \hspace{0.2\textwidth}
  64. \begin{minipage}[c]{0.4\textwidth}
  65. \begin{align*}
  66.    a&=\sqrt{(\SI{0,6}{\metre})^2+(\SI{1,45}{\metre})^2}\approx \SI{1,569}{\metre}\\
  67.    b&=\sqrt{(\SI{0,6}{\metre})^2+(\SI{1,8}{\metre})^2}\approx \SI{1,897}{\metre}\\
  68.    c&=\sqrt{(\SI{1,45}{\metre})^2+(\SI{1,8}{\metre})^2}\approx \SI{2,311}{\metre}\\
  69.    d&=\sqrt{(\SI{0,6}{\metre})^2+(\SI{1,45}{\metre})^2+(\SI{1,8}{\metre})^2}\approx \SI{2,38799}{\metre}
  70. \end{align*}
  71. \end{minipage}
  72. \end{document}
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