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Est-ce assez pour faire le tour de la tablette. + \end{enumerate} + \item Juliette voudrait mettre une couche de vernis sur les deux faces des 4 tablettes. + \begin{enumerate} + \item Calculer l'aire d'une seule tablette. + \item Vérifier par un calcul que la surface totale à vernir est de $432cm^2$. + \item Un pot de vernis couvre $500cm^2$. Juliette possède un pot de vernis rempli au $\dfrac{3}{4}$. + + A-t-elle suffisamment de vernis ? + \end{enumerate} +\end{enumerate} diff --git a/3ePasserelles/Geometrie/Aire/Revi_aire.pdf b/3ePasserelles/Geometrie/Aire/Revi_aire.pdf new file mode 100644 index 0000000000000000000000000000000000000000..f39a80d3a8feaa198cae60be7712c03984589d83 GIT binary patch literal 229989 zcmce-Q+Q@guqYfS6WgAc6Wg|J+qNdQZQFJ-;l#FW8z+NT~ zRn^tig|6yuVp&09YC0MwNaCrvfh9;f2K*oRHu~m}oScxfl1A1hj;8nwbaZU^e;!C$ zVKYldBYS*WVM{$nBS9kr8$%;VZf-~iM|&eZD@fOsarO21j1~l+&2InXgj9;?2yXZ- zMT-5~XBs;#rJbc@v`elU=yr)fziWUfFCVYAc|?dHj8zX0u?IcSxES^K=hFqjUM+Y~ z9&I72_$xGCEF*Hp(g-8l4yXn2kL%s}U`kjWVL-S7L&5_-3S=ZPMC4b>GnG_*u{2N& zBzBl6BU_JqFfh~h%MC5AS3YAuV>QCrt#zv$kZ{n7T(!I$1GEmfO)FRAKsP%b>n467 zz3B@$r{`m~4kNRtC1H`w1w@>Cg5cpul`)Iz_N7A$mL1$69Nq4Rp+9dy4CBDWM%D5nB{x11 zK{?PpVerIa_PWRCyZ~lXP=^cHUBe08drBi&55bc$OodRfAoZ=_xZ^Q0k`2M&^2e^w zFW@PVsOFbjK(KfEQR0o~n2RVUQWWL%+22giJs%di;JR$KRc!{1Kuuy1FLrITWh$yj 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installé un grand chapiteau rectangulaire de 5 m par 4 m et un parquet pour abriter le buffet en cas de pluie. + + \begin{enumerate} + \item Calculer, en $m^2$, l’aire de la surface de parquet nécessaire pour couvrir le sol de la totalité du chapiteau. + \end{enumerate} + + Le gérant du camping a estimé que pour compenser les découpes, il fallait acheter 10 \% de parquet supplémentaire. Dans un magasin de bricolage il choisit un parquet résistant conditionné en bottes de $1,32m^2$. + + \begin{enumerate} + \item Calculer combien de bottes de parquet le gérant doit commander pour couvrir le sol de la totalité du chapiteau. + \end{enumerate} + + Pour assurer l’éclairage de la salle, le gérant souhaite utiliser des tuyaux lumineux de couleurs. Les tuyaux seront accrochés sur la structure du chapiteau comme indiqué ci-dessous. + + \includegraphics[scale=1.2]{./fig/struct_chapi} + + \begin{enumerate} + \item Les tuyaux lumineux seront accrochés sur les 2 côtés $BC$ et $B'C$. Un magasin spécialisé lui propose de fabriquer les tuyaux lumineux à la dimension souhaitée. + + \item Quelle longueur, en mètres, le gérant doit-il commander pour un élément de structure $BCB'$? Arrondir au cm. + \end{enumerate} + +\end{exercise} + +\begin{exercise}[subtitle={Étagère}] + \subimport{./Geometrie/}{subject.tex} +\end{exercise} + +\begin{exercise}[subtitle={Sculture}] + +\begin{minipage}{0.6\textwidth} +La sculpture présentée sur la photo ci-contre a été réalisée à l’aide de roues de vélo soudées les unes aux autres, afin de former une sphère de diamètre 1,4 m (les roues utilisées ont été légèrement arquées pour que la sphère soit réalisable). Les roues utilisées ont toutes un rayon de $300 mm$. +\end{minipage} +\begin{minipage}{0.4\textwidth} + \includegraphics[scale=0.8]{./fig/sculture_velo} +\end{minipage} + +\begin{enumerate} + \item Calculer l’aire de la sphère en $cm^2$. On rappelle que la formule de l’aire d’une sphère de rayon $r$ est : $A = 4\pi r^2$. Arrondir le résultat à l’unité. + + \item Calculer l’aire d’une roue de vélo en $cm^2$. Arrondir à l’unité. + + \item Les roues de vélo ne se touchant qu’en un seul point, il existe des parties vides. L’aire correspondant aux parties vides est de $\np{16 336} cm^2$. Calculer le nombre de roues de vélos qui ont été nécessaires pour réaliser cette sculpture. +\end{enumerate} + +\end{exercise} + + +\end{document} diff --git a/3ePasserelles/Geometrie/Aire/fig/sculture_velo.png b/3ePasserelles/Geometrie/Aire/fig/sculture_velo.png new file mode 100644 index 0000000000000000000000000000000000000000..7e61bdc915c18bc8e29dd8face38eca79bbce037 GIT binary patch literal 92317 zcmZs?bx<7d(*BJ@2p)o4Ah^3*aCi4CzPP&vcXziSi@Otodth-5&ay~w&CB9a!HE5xPm~ zx=A?N+gmue!AQ7Rn7LV)Q+V3ASyRZ!DXHoNW8lNUP{7DZifekUp7wYKS!kuP^g2x6 zX)7BUY2~@5xKg1cBg|7A#lk)ls>&Q@Z5~Y$T<~+2v-hZF7KE-0d@H6X4w6k=cH>o= zcRQ=Ct*SM=+wA1ux*HKW^fOUw`(A~iJNo*1yisu`?0ep_w0W4{(%X^_(g$fvN&I&J z1_o-S3XA?b0&9TQ{~br<5TgH%$C1wP|B2Uz+W)?$=>J^A1jBduIB@6x7^nx8FXIB) zH|ZRq!vv~W;b{B1?L~sgh{^G=lTsEP>uX5`-1==*hA)H@MgT22MA?#(rPbB%13i&v zM=lD%@d(e_zUI0&d5Sb3pfP#*xzlzJb&k?*=R6H1Wsxe%RZ|DZgO8+P)juKvbZfBX zk{20SW8hll4&8|$Z(0?78Dp(!RT@8<$;ZaVE|{@00y-Gkw3Im4j5T$IUu30gQBt}r 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