{"id":3173,"date":"2021-11-19T13:47:34","date_gmt":"2021-11-19T12:47:34","guid":{"rendered":"https:\/\/agora.xtec.cat\/ceiplluiscastells\/?p=3173"},"modified":"2021-11-19T12:14:07","modified_gmt":"2021-11-19T11:14:07","slug":"quants-bastons-caben-en-els-vuit-metres-cubics","status":"publish","type":"post","link":"https:\/\/agora.xtec.cat\/ceiplluiscastells\/6e-21-22\/quants-bastons-caben-en-els-vuit-metres-cubics\/","title":{"rendered":"QUANTS BASTONS CABEN EN ELS VUIT METRES C\u00daBICS?"},"content":{"rendered":"<p>En l&#8217;\u00faltima carta que rebem dels estudiants de la UdL, ens plantegen un repte:<br \/>\nQUANTS BASTONS CABEN EN ELS NOSTRES 8 metres c\u00fabics?<\/p>\n<p>Primer de tot, observem els nostres bastons. Sabem que no s\u00f3n iguals, ho vam veure el primer dia que vam ballar. Per tant, quin agafem per fer la mesura? Fem diferents propostes i decidim agafar un bast\u00f3 a l&#8217;atzar, mesurar-lo i el resultat, dir que \u00e9s aproximat.<br \/>\nA la carta, llegim que els bastons de Lleida fan 45 cm de llargada i 3,5 cm de di\u00e0metre. La Laura ens explica qu\u00e8 \u00e9s el di\u00e0metre. Segueix explicant-nos qu\u00e8 entenem per circumfer\u00e8ncia, per cercle i qu\u00e8 \u00e9s el radi.<br \/>\nSeguidament, mesurem el bast\u00f3 que agafem a l\u2019atzar. Fa 28 cm de llarg i 3 cm de di\u00e0metre. Calculem quina \u00e9s la difer\u00e8ncia entre els nostres bastons i els de Lleida.<br \/>\nEl pas seg\u00fcent \u00e9s saber quants bastons caben dins del nostre cub, \u00e9s a dir, en 8 m<sup>3<\/sup>. Decidim que, tal com vam fer amb el quadrat i el rectangle, primer volem saber com es calcula el per\u00edmetre (\u00e9s a dir el contorn que \u00e9s la circumfer\u00e8ncia), l\u2019\u00e0rea, \u00e9s a dir la superf\u00edcie del cercle i finalment el volum del cilindre.<\/p>\n<p>Busquem les diferents f\u00f3rmules i aprenem a calcular-les amb exemples reals del nostre entorn proper. Per practicar com es calcula el volum del cilindre, anem pel poble fent fotos i mesurant diferents cilindres que trobem.<\/p>\n<p>Calculem quin \u00e9s el volum del cilindre del bast\u00f3. Ja sabem que, aproximadament, cada un d&#8217;ells t\u00e9 un volum de 197,9208 cm<sup>3<\/sup>. Com que el c\u00e0lcul \u00e9s aproximat, arrodonim la xifra a 198 cm<sup>3<\/sup>.<\/p>\n<p>Ara ens queda saber, quants d&#8217;aquests bastons hi caben en 8m<sup>3<\/sup>. 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