{"id":3923,"date":"2026-04-11T06:29:06","date_gmt":"2026-04-11T06:29:06","guid":{"rendered":"https:\/\/pausemaths.fr\/?p=3923"},"modified":"2026-04-11T13:25:38","modified_gmt":"2026-04-11T13:25:38","slug":"volume-de-la-pyramide","status":"publish","type":"post","link":"https:\/\/pausemaths.fr\/index.php\/2026\/04\/11\/volume-de-la-pyramide\/","title":{"rendered":"Volume de la pyramide"},"content":{"rendered":"\n
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Formule pour calculer
le volume d’une pyramide<\/p>\n<\/div>\n\n\n\n

\n\n Volume<\/mi>\n =<\/mo>\n \n \n \n \n A<\/mi>\n base<\/mi>\n <\/msub>\n ×<\/mo>\n Hauteur<\/mi>\n <\/mrow>\n 3<\/mn>\n <\/mfrac>\n <\/mstyle>\n<\/math>\n<\/div>\n\n\n\n
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\"\"<\/figure>\n<\/div>\n<\/div>\n\n\n\n
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Exemple sur un \u00e9difice commerciale<\/h2>\n\n\n\n
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Afin de respecter les diff\u00e9rentes normes, la section pyramidale de cette b\u00e2tisse poss\u00e8de une base d’un p\u00e9rim\u00e8tre de 160 m et une hauteur de 15 m.
Si 70 % de cet espace est r\u00e9serv\u00e9 \u00e0 des bureaux administratifs, quel espace leur est alors consacr\u00e9?<\/p>\n\n\n\n

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Calcul du volume total :<\/strong><\/p>\n\n\n\n

\u00c9tant donn\u00e9 que la base est carr\u00e9e, on est en mesure de d\u00e9duire que la mesure d’un c\u00f4t\u00e9 est de 160\u00f74=40 m.<\/p>\n\n\n\n\n \n \n \n V<\/mi>\n <\/mtd>\n \n <\/mi>\n =<\/mo>\n \n \n \n \n A<\/mi>\n b<\/mi>\n <\/msub>\n ×<\/mo>\n h<\/mi>\n <\/mrow>\n 3<\/mn>\n <\/mfrac>\n <\/mstyle>\n <\/mtd>\n <\/mtr>\n \n \n <\/mtr>\n \n \n \n <\/mi>\n =<\/mo>\n \n \n \n \n c<\/mi>\n 2<\/mn>\n <\/msup>\n ×<\/mo>\n h<\/mi>\n <\/mrow>\n 3<\/mn>\n <\/mfrac>\n <\/mstyle>\n <\/mtd>\n <\/mtr>\n \n \n <\/mtr>\n \n \n \n <\/mi>\n =<\/mo>\n \n \n \n \n 40<\/mn>\n 2<\/mn>\n <\/msup>\n ×<\/mo>\n 15<\/mn>\n <\/mrow>\n 3<\/mn>\n <\/mfrac>\n <\/mstyle>\n <\/mtd>\n <\/mtr>\n \n \n <\/mtr>\n \n \n \n <\/mi>\n =<\/mo>\n 8<\/mn>\n  <\/mtext>\n 000<\/mn>\n  <\/mtext>\n \n m<\/mtext>\n 3<\/mn>\n <\/msup>\n <\/mtd>\n <\/mtr>\n <\/mtable>\n<\/math>\n<\/div>\n\n\n\n
\n
\"\"<\/figure>\n\n\n\n

Calcul du volume des bureaux :<\/p>\n\n\n\n\n 70<\/mn>\n  <\/mtext>\n %<\/mi>\n ×<\/mo>\n 8<\/mn>\n  <\/mtext>\n 000<\/mn>\n =<\/mo>\n 5<\/mn>\n  <\/mtext>\n 600<\/mn>\n  <\/mtext>\n \n m<\/mtext>\n 3<\/mn>\n <\/msup>\n<\/math>\n<\/div>\n<\/div>\n\n\n\n
\n","protected":false},"excerpt":{"rendered":"

Formule pour calculerle volume d’une pyramide Volume = A base × Hauteur 3 Exemple sur un \u00e9difice commerciale Afin de respecter les diff\u00e9rentes normes, la section pyramidale de cette b\u00e2tisse poss\u00e8de une base d’un p\u00e9rim\u00e8tre de 160 m et une hauteur de 15 m.Si 70 % de cet espace est r\u00e9serv\u00e9 \u00e0 des bureaux administratifs, quel espace leur […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-3923","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/pausemaths.fr\/index.php\/wp-json\/wp\/v2\/posts\/3923","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/pausemaths.fr\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/pausemaths.fr\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/pausemaths.fr\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/pausemaths.fr\/index.php\/wp-json\/wp\/v2\/comments?post=3923"}],"version-history":[{"count":22,"href":"https:\/\/pausemaths.fr\/index.php\/wp-json\/wp\/v2\/posts\/3923\/revisions"}],"predecessor-version":[{"id":3968,"href":"https:\/\/pausemaths.fr\/index.php\/wp-json\/wp\/v2\/posts\/3923\/revisions\/3968"}],"wp:attachment":[{"href":"https:\/\/pausemaths.fr\/index.php\/wp-json\/wp\/v2\/media?parent=3923"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/pausemaths.fr\/index.php\/wp-json\/wp\/v2\/categories?post=3923"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/pausemaths.fr\/index.php\/wp-json\/wp\/v2\/tags?post=3923"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}