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- \documentclass[]{article}
- \usepackage[utf8]{inputenc}
- \usepackage{fourier}
- \usepackage{SIunitx}
- \usepackage{amsmath,amssymb,amsfonts}
- \usepackage{tikz}
- \usetikzlibrary{calc,3d}
- \begin{document}
- \begin{minipage}{0.4\textwidth}
- \begin{tikzpicture}[x = {(-0.5cm,-0.5cm)},
- y = {(0.9659cm,-0.25882cm)},
- z = {(0cm,1cm)},
- scale = 4,
- color = {lightgray}]
- % style of faces
- \tikzset{facestyle/.style={fill=lightgray,draw=red,very thin,line join=round}}
- % face "back"
- \begin{scope}[canvas is zy plane at x=0]
- \path[facestyle,shade] (0,0) rectangle (1.8,0.6);
- \end{scope}
- % face "left"
- \begin{scope}[canvas is zx plane at y=0]
- \path[facestyle,shade] (0,0) rectangle (1.8,1.45);
- \end{scope}
- % face "front"
- \begin{scope}[canvas is zy plane at x=1.45]
- \path[facestyle] (0,0) rectangle (1.8,0.6);
- \end{scope}
- % face "right"
- \begin{scope}[canvas is zx plane at y=0.6]
- \path[facestyle] (0,0) rectangle (1.8,1.45);
- \end{scope}
- %face "up"
- \begin{scope}[canvas is yx plane at z=1.8]
- \path[facestyle] (0,0) rectangle (0.6,1.45);
- \end{scope}
- % labels
- \draw[very thin,black,line join=round]
- (0,0.6,1.8) -- node [below] {$a$}
- (1.45,0,1.8) -- node [right] {$b$}
- (1.45,0.6,0) -- node [left] {$c$}
- (0,0.6,1.8);
- \draw[very thin, gray,dashed,line join=round]
- (0,0,0)--
- (1.45,0,0) -- node[left]{$d$}
- (0,0.6,1.8);
- \draw[very thin, gray,dashed,line join=round]
- (0,0.6,0)-- (0,0,0) -- (0,0,1.8);
- \draw[very thin,black,|<->|]
- (0,-0.015,1.81) -- node[sloped,above,fill=white]{\SI{1,45}{\metre}}
- (1.45,-0.015,1.81);
- \draw[very thin,black,|<->|]
- (0,0.005,1.82) -- node[sloped,above,fill=white]{\SI{0,6}{\metre}}
- (0,0.605,1.82);
- \draw[very thin,black,|<->|]
- (0,0.62,0.005) -- node[right]{\SI{1,8}{\metre}}
- (0,0.62,1.805);
- \end{tikzpicture}
- \end{minipage}
- \hspace{0.2\textwidth}
- \begin{minipage}[c]{0.4\textwidth}
- \begin{align*}
- a&=\sqrt{(\SI{0,6}{\metre})^2+(\SI{1,45}{\metre})^2}\approx \SI{1,569}{\metre}\\
- b&=\sqrt{(\SI{0,6}{\metre})^2+(\SI{1,8}{\metre})^2}\approx \SI{1,897}{\metre}\\
- c&=\sqrt{(\SI{1,45}{\metre})^2+(\SI{1,8}{\metre})^2}\approx \SI{2,311}{\metre}\\
- d&=\sqrt{(\SI{0,6}{\metre})^2+(\SI{1,45}{\metre})^2+(\SI{1,8}{\metre})^2}\approx \SI{2,38799}{\metre}
- \end{align*}
- \end{minipage}
- \end{document}
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