{"id":849,"date":"2026-01-25T11:15:49","date_gmt":"2026-01-25T11:15:49","guid":{"rendered":"https:\/\/bliv-klogere.dk\/?page_id=849"},"modified":"2026-02-05T16:14:58","modified_gmt":"2026-02-05T16:14:58","slug":"3-aflaese-sammenligne-og-vurdere-angivelser-af-laengde-areal-og-rumfang","status":"publish","type":"page","link":"https:\/\/bliv-klogere.dk\/index.php\/3-aflaese-sammenligne-og-vurdere-angivelser-af-laengde-areal-og-rumfang\/","title":{"rendered":"3. Afl\u00e6se, sammenligne og vurdere angivelser af l\u00e6ngde, areal og rumfang"},"content":{"rendered":"\n<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_89 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\" style=\"cursor:inherit\">Indholdsfortegnelse<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"Toggle Table of Content\"><span class=\"ez-toc-js-icon-con\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/span><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 ' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/bliv-klogere.dk\/index.php\/3-aflaese-sammenligne-og-vurdere-angivelser-af-laengde-areal-og-rumfang\/#1_Lidt_om_areal_kontra_rumfang\" >1. Lidt om areal kontra rumfang<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/bliv-klogere.dk\/index.php\/3-aflaese-sammenligne-og-vurdere-angivelser-af-laengde-areal-og-rumfang\/#Opgaver\" >Opgaver<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/bliv-klogere.dk\/index.php\/3-aflaese-sammenligne-og-vurdere-angivelser-af-laengde-areal-og-rumfang\/#31_Sammenligninger\" >3.1 Sammenligninger<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/bliv-klogere.dk\/index.php\/3-aflaese-sammenligne-og-vurdere-angivelser-af-laengde-areal-og-rumfang\/#32_Rumfang\" >3.2 Rumfang<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"1_Lidt_om_areal_kontra_rumfang\"><\/span>1. Lidt om areal kontra rumfang<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Vi har tidligere v\u00e6ret igennem, at det er let at tage fejl, n\u00e5r man skal vurdere et areal. Med rumfang bliver det kun endnu lettere at tage fejl. Men vi pr\u00f8ver!<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Link til <a href=\"https:\/\/bliv-klogere.dk\/index.php\/3-aflaese-sammenligne-og-vurdere-angivelser-af-laengde-areal-og-rumfang\/\">toppen af siden<\/a>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Opgaver\"><\/span>Opgaver<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"31_Sammenligninger\"><\/span>3.1 Sammenligninger<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">En vidunderlig flok opgaver \ud83d\ude42&nbsp;<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>En lineal viser, at en blyant er <strong>14,6 cm<\/strong> lang. En anden blyant er <strong>0,155 m<\/strong> lang.&nbsp;<br>Hvilken blyant er l\u00e6ngst? Begrund dit svar.&nbsp;<br>&nbsp;<\/li>\n\n\n\n<li>Et bord er <strong>1,8 m<\/strong> langt og <strong>75 cm<\/strong> bredt.Vurder, om bordets areal er <strong>st\u00f8rre eller mindre end 1,5 m\u00b2<\/strong>.&nbsp;<br>&nbsp;<\/li>\n\n\n\n<li>En rektangul\u00e6r have har m\u00e5lene <strong>12 m \u00b7 8 m<\/strong>. Sammenlign havens areal med et kvadrat p\u00e5 <strong>10 m \u00b7 10 m<\/strong>. Hvilket er st\u00f8rst?&nbsp;<\/li>\n<\/ol>\n\n\n\n<ol start=\"4\" class=\"wp-block-list\">\n<li>En flaske indeholder <strong>0,75 L<\/strong> saft. En kande kan rumme <strong>900 ml<\/strong>. Kan hele flaskens indhold v\u00e6re i kanden? Forklar.&nbsp;<\/li>\n<\/ol>\n\n\n\n<ol start=\"5\" class=\"wp-block-list\">\n<li>Et gulvt\u00e6ppe har et areal p\u00e5 <strong>6,4 m\u00b2<\/strong>. Et andet t\u00e6ppe har m\u00e5lene <strong>2,5 m \u00b7 2,8 m<\/strong>. Hvilket t\u00e6ppe fylder mest? Vis din vurdering.&nbsp;<\/li>\n<\/ol>\n\n\n\n<ol start=\"6\" class=\"wp-block-list\">\n<li>En sv\u00f8mmehal har et bassin, der er <strong>25 m langt<\/strong>, <strong>10 m bredt<\/strong> og <strong>2 m dybt<\/strong>. Vurder, om bassinet kan rumme <strong>mere end 400 m\u00b3 vand<\/strong>.&nbsp;<\/li>\n<\/ol>\n\n\n\n<ol start=\"7\" class=\"wp-block-list\">\n<li>En papkasse har rumfang <strong>48.000 cm\u00b3<\/strong>. Sammenlign dette rumfang med <strong>0,05 m\u00b3<\/strong> og afg\u00f8r, hvilket der er st\u00f8rst.&nbsp;<br>&nbsp;<\/li>\n\n\n\n<li>To beholdere sammenlignes:\n<ul class=\"wp-block-list\">\n<li>Beholder A: 40 cm \u00b7 30 cm \u00b7 25 cm&nbsp;<\/li>\n\n\n\n<li>Beholder B: 35 cm \u00b7 35 cm \u00b7 30 cm&nbsp;<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n\n\n\n<p class=\"wp-block-paragraph\">Hvilken beholder har st\u00f8rst rumfang? Uden at regne pr\u00e6cist \u2013 forklar din vurdering.&nbsp;<\/p>\n\n\n\n<ol start=\"9\" class=\"wp-block-list\">\n<li>Et klassev\u00e6relse har et gulvareal p\u00e5 <strong>56 m\u00b2<\/strong> og en loftsh\u00f8jde p\u00e5 <strong>2,6 m<\/strong>. Vurder, om rumfanget er <strong>st\u00f8rre eller mindre end 140 m\u00b3<\/strong>.&nbsp;<br>&nbsp;<\/li>\n\n\n\n<li>En sportsplads m\u00e5ler <strong>105 m \u00b7 68 m<\/strong>. En anden plads har et areal p\u00e5 <strong>7.000 m\u00b2<\/strong>.Sammenlign de to arealer og vurder, hvor stor forskellen er.&nbsp;<br><\/li>\n\n\n\n<li>En landmand kommer forbi. Han vil gerne vide, hvor mange t\u00f8nder land de 2 sportspladser p\u00e5 hhv. 105 m <strong> \u00b7 <\/strong> 68 m og 7.000 m\u00b2 fra sp\u00f8rgsm\u00e5l 10 hver is\u00e6r er p\u00e5. Pr\u00f8v at finde et svar, du skal m\u00e5ske google, hvad en t\u00f8nde land er&nbsp;<\/li>\n<\/ol>\n\n\n\n<p class=\"wp-block-paragraph\">Link til <a href=\"https:\/\/bliv-klogere.dk\/index.php\/3-aflaese-sammenligne-og-vurdere-angivelser-af-laengde-areal-og-rumfang\/\">toppen af siden<\/a>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"32_Rumfang\"><\/span>3.2 Rumfang<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">G\u00e6t p\u00e5 rumfanget af det rum, vi sidder i. Bagefter m\u00e5l efter, hvad rumfanget er.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Link til <a href=\"https:\/\/bliv-klogere.dk\/index.php\/3-aflaese-sammenligne-og-vurdere-angivelser-af-laengde-areal-og-rumfang\/\">toppen af siden<\/a>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>1. Lidt om areal kontra rumfang Vi har tidligere v\u00e6ret igennem, at det er let at tage fejl, n\u00e5r man skal vurdere et areal. Med rumfang bliver det kun endnu lettere at tage fejl. Men vi pr\u00f8ver! Link til toppen af siden. Opgaver 3.1 Sammenligninger En vidunderlig flok opgaver \ud83d\ude42&nbsp; Hvilken beholder har st\u00f8rst rumfang? &hellip; <a href=\"https:\/\/bliv-klogere.dk\/index.php\/3-aflaese-sammenligne-og-vurdere-angivelser-af-laengde-areal-og-rumfang\/\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">3. Afl\u00e6se, sammenligne og vurdere angivelser af l\u00e6ngde, areal og rumfang<\/span> <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-849","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/bliv-klogere.dk\/index.php\/wp-json\/wp\/v2\/pages\/849","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/bliv-klogere.dk\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/bliv-klogere.dk\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/bliv-klogere.dk\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/bliv-klogere.dk\/index.php\/wp-json\/wp\/v2\/comments?post=849"}],"version-history":[{"count":5,"href":"https:\/\/bliv-klogere.dk\/index.php\/wp-json\/wp\/v2\/pages\/849\/revisions"}],"predecessor-version":[{"id":1379,"href":"https:\/\/bliv-klogere.dk\/index.php\/wp-json\/wp\/v2\/pages\/849\/revisions\/1379"}],"wp:attachment":[{"href":"https:\/\/bliv-klogere.dk\/index.php\/wp-json\/wp\/v2\/media?parent=849"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}