701 lines
72 KiB
HTML
Vendored
701 lines
72 KiB
HTML
Vendored
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<html lang="de-DE">
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<head>
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<title>Masse des Quaders | PRISMEN</title>
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<link rel="alternate" type="application/rss+xml" title="PRISMEN » Feed" href="https://lernpfadprismen.wordpress.com/feed/" />
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<meta property="og:title" content="Masse des Quaders" />
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<meta property="og:description" content="Die Masse eines Körpers berechnest du, indem du das Volumen (V) mit der Dichte (ρ) multiplizierst. Siehe Kapitel Masse! Bevor du die Beispiele löst, schau dir die Videos mit den Erklärungen an. A…" />
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<meta property="article:published_time" content="2015-12-07T20:40:50+00:00" />
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<meta property="article:modified_time" content="2016-02-13T21:39:41+00:00" />
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<meta name="application-name" content="PRISMEN" /><meta name="msapplication-window" content="width=device-width;height=device-height" /><meta name="msapplication-tooltip" content="Lernpfad für die 3. Klasse AHS/NMS (7. Schulstufe)" /><meta name="msapplication-task" content="name=Abonnieren;action-uri=https://lernpfadprismen.wordpress.com/feed/;icon-uri=https://s1.wp.com/i/favicon.ico" /><meta name="msapplication-task" content="name=Registriere dich für einen kostenlosen Blog;action-uri=http://wordpress.com/signup/;icon-uri=https://s1.wp.com/i/favicon.ico" /><meta name="msapplication-task" content="name=WordPress.com-Support;action-uri=http://support.wordpress.com/;icon-uri=https://s1.wp.com/i/favicon.ico" /><meta name="msapplication-task" content="name=WordPress.com-Foren;action-uri=http://forums.wordpress.com/;icon-uri=https://s1.wp.com/i/favicon.ico" /><meta name="description" content="Die Masse eines Körpers berechnest du, indem du das Volumen (V) mit der Dichte (ρ) multiplizierst. Siehe Kapitel Masse! Bevor du die Beispiele löst, schau dir die Videos mit den Erklärungen an. Achte bei allen Rechnungen darauf, ob die Angaben in der gleichen Einheit angegeben sind – wenn nicht: wandle auf eine gleiche Einheit…" />
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<h1 class="entry-title">Masse des Quaders</h1>
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<p>Die Masse eines Körpers berechnest du, indem du das Volumen (V) mit der Dichte (ρ) multiplizierst. Siehe Kapitel <a href="https://lernpfadprismen.wordpress.com/masse/">Masse</a>!</p>
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<ul>
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<li>Bevor du die Beispiele löst, schau dir die Videos mit den Erklärungen an.<br />
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<a href="https://lernpfadprismen.wordpress.com/vernetzte-aufgaben/berechnen-der-masse-aufgabe-1/"><img class="alignnone size-full wp-image-470" src="https://lernpfadprismen.files.wordpress.com/2015/10/video_kl.png?w=620" alt="Video_kl" /></a> <a href="https://lernpfadprismen.wordpress.com/masse/berechne-die-masse-aufgabe2/" rel="attachment wp-att-470"><img class="alignnone size-full wp-image-470" src="https://lernpfadprismen.files.wordpress.com/2015/10/video_kl.png?w=620" alt="Video_kl" /></a></li>
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<li>Achte bei allen Rechnungen darauf, ob die Angaben in der gleichen Einheit angegeben sind – wenn nicht: wandle auf eine gleiche Einheit um.</li>
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<h1>Aufgaben</h1>
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||
<ol>
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||
<li>Berechne die Masse eines Glasquaders mit a = 4 cm; b = 3 cm; h = 7 cm; ρ = 2,5 g/cm³<br />
|
||
<span style="color:#999999;">Lösung: m = 210 g</span><br />
|
||
<img data-attachment-id="571" data-permalink="https://lernpfadprismen.wordpress.com/zusatz/logo_final_klein/" data-orig-file="https://lernpfadprismen.files.wordpress.com/2015/12/logo_final_klein.png" data-orig-size="25,23" data-comments-opened="0" data-image-meta="{"aperture":"0","credit":"","camera":"","caption":"","created_timestamp":"0","copyright":"","focal_length":"0","iso":"0","shutter_speed":"0","title":"","orientation":"0"}" data-image-title="" data-image-description="" data-medium-file="https://lernpfadprismen.files.wordpress.com/2015/12/logo_final_klein.png?w=25" data-large-file="https://lernpfadprismen.files.wordpress.com/2015/12/logo_final_klein.png?w=25" class="alignnone size-full wp-image-571" src="https://lernpfadprismen.files.wordpress.com/2015/12/logo_final_klein.png?w=620" alt="" /> <a href="https://lernpfadprismen.files.wordpress.com/2016/02/loesungpage14-quader1.pdf" target="_blank" rel="">Vollständig durchgerechnete Lösung</a></li>
|
||
<li>Welche Masse hat 1 m³ Bausand, wenn ρ = 1,7 g/cm³.<br />
|
||
<span style="color:#999999;">Lösung: m = 1 700 kg</span><br />
|
||
<img data-attachment-id="571" data-permalink="https://lernpfadprismen.wordpress.com/zusatz/logo_final_klein/" data-orig-file="https://lernpfadprismen.files.wordpress.com/2015/12/logo_final_klein.png" data-orig-size="25,23" data-comments-opened="0" data-image-meta="{"aperture":"0","credit":"","camera":"","caption":"","created_timestamp":"0","copyright":"","focal_length":"0","iso":"0","shutter_speed":"0","title":"","orientation":"0"}" data-image-title="" data-image-description="" data-medium-file="https://lernpfadprismen.files.wordpress.com/2015/12/logo_final_klein.png?w=25" data-large-file="https://lernpfadprismen.files.wordpress.com/2015/12/logo_final_klein.png?w=25" class="alignnone size-full wp-image-571" src="https://lernpfadprismen.files.wordpress.com/2015/12/logo_final_klein.png?w=620" alt="" /> <a href="https://lernpfadprismen.files.wordpress.com/2016/02/loesungpage15-quader2.pdf" target="_blank" rel="">Vollständig durchgerechnete Lösung</a></li>
|
||
<li>Die Ladefläche eines Lastwagens hat die Maße: a = 4 m, b = 2,5 m, h = 0,5 m.<br />
|
||
a) Wie viel m³ Sand (ρ = 1,7 g/cm³) kann der LKW transportieren?<br />
|
||
b) Wie schwer ist die Ladung des LKW?<br />
|
||
<span style="color:#999999;">Lösung: V = 9 m³, m = 15 300 kg</span><br />
|
||
<img data-attachment-id="571" data-permalink="https://lernpfadprismen.wordpress.com/zusatz/logo_final_klein/" data-orig-file="https://lernpfadprismen.files.wordpress.com/2015/12/logo_final_klein.png" data-orig-size="25,23" data-comments-opened="0" data-image-meta="{"aperture":"0","credit":"","camera":"","caption":"","created_timestamp":"0","copyright":"","focal_length":"0","iso":"0","shutter_speed":"0","title":"","orientation":"0"}" data-image-title="" data-image-description="" data-medium-file="https://lernpfadprismen.files.wordpress.com/2015/12/logo_final_klein.png?w=25" data-large-file="https://lernpfadprismen.files.wordpress.com/2015/12/logo_final_klein.png?w=25" class="alignnone size-full wp-image-571" src="https://lernpfadprismen.files.wordpress.com/2015/12/logo_final_klein.png?w=620" alt="" /> <a href="https://lernpfadprismen.files.wordpress.com/2016/02/loesungpage16-quader3.pdf" target="_blank" rel="">Vollständig durchgerechnete Lösung</a></li>
|
||
<li>In einem Öltank befinden sich 20 000 Liter Heizöl. (1 l = 1 dm³)<br />
|
||
Welche Masse hat die Tankfüllung, wenn ρ = 0,92 g/cm³.<br />
|
||
<span style="color:#999999;">Lösung: m = 18 400 kg</span><br />
|
||
<img data-attachment-id="571" data-permalink="https://lernpfadprismen.wordpress.com/zusatz/logo_final_klein/" data-orig-file="https://lernpfadprismen.files.wordpress.com/2015/12/logo_final_klein.png" data-orig-size="25,23" data-comments-opened="0" data-image-meta="{"aperture":"0","credit":"","camera":"","caption":"","created_timestamp":"0","copyright":"","focal_length":"0","iso":"0","shutter_speed":"0","title":"","orientation":"0"}" data-image-title="" data-image-description="" data-medium-file="https://lernpfadprismen.files.wordpress.com/2015/12/logo_final_klein.png?w=25" data-large-file="https://lernpfadprismen.files.wordpress.com/2015/12/logo_final_klein.png?w=25" class="alignnone size-full wp-image-571" src="https://lernpfadprismen.files.wordpress.com/2015/12/logo_final_klein.png?w=620" alt="" /> <a href="https://lernpfadprismen.files.wordpress.com/2016/02/loesungpage17-quader4.pdf" target="_blank" rel="">Vollständig durchgerechnete Lösung</a></li>
|
||
<li>Eine 92 m² große Wohnung ist 2,50 m hoch.<br />
|
||
Wie viel kg Luft (ρ = 1,29 kg/m³) befindet sich in der Wohnung, wenn die Zwischenmauern nicht berücksichtigt werden?<br />
|
||
<span style="color:#999999;">Lösung: m = 297,6 kg</span><br />
|
||
<img data-attachment-id="571" data-permalink="https://lernpfadprismen.wordpress.com/zusatz/logo_final_klein/" data-orig-file="https://lernpfadprismen.files.wordpress.com/2015/12/logo_final_klein.png" data-orig-size="25,23" data-comments-opened="0" data-image-meta="{"aperture":"0","credit":"","camera":"","caption":"","created_timestamp":"0","copyright":"","focal_length":"0","iso":"0","shutter_speed":"0","title":"","orientation":"0"}" data-image-title="" data-image-description="" data-medium-file="https://lernpfadprismen.files.wordpress.com/2015/12/logo_final_klein.png?w=25" data-large-file="https://lernpfadprismen.files.wordpress.com/2015/12/logo_final_klein.png?w=25" class="alignnone size-full wp-image-571" src="https://lernpfadprismen.files.wordpress.com/2015/12/logo_final_klein.png?w=620" alt="" /> <a href="https://lernpfadprismen.files.wordpress.com/2016/02/loesungpage18-quader5.pdf" target="_blank" rel="">Vollständig durchgerechnete Lösung</a></li>
|
||
<li>Welche Masse hat eine 1 cm dicke Schaufensterscheibe, die 3 m lang und 2 m hoch ist? Dichte ρ = 2,5 g/cm³<br />
|
||
<span style="color:#999999;">Lösung: m = 150 kg</span><br />
|
||
<img data-attachment-id="571" data-permalink="https://lernpfadprismen.wordpress.com/zusatz/logo_final_klein/" data-orig-file="https://lernpfadprismen.files.wordpress.com/2015/12/logo_final_klein.png" data-orig-size="25,23" data-comments-opened="0" data-image-meta="{"aperture":"0","credit":"","camera":"","caption":"","created_timestamp":"0","copyright":"","focal_length":"0","iso":"0","shutter_speed":"0","title":"","orientation":"0"}" data-image-title="" data-image-description="" data-medium-file="https://lernpfadprismen.files.wordpress.com/2015/12/logo_final_klein.png?w=25" data-large-file="https://lernpfadprismen.files.wordpress.com/2015/12/logo_final_klein.png?w=25" class="alignnone size-full wp-image-571" src="https://lernpfadprismen.files.wordpress.com/2015/12/logo_final_klein.png?w=620" alt="" /> <a href="https://lernpfadprismen.files.wordpress.com/2016/02/loesungpage19-quader6.pdf" target="_blank" rel="">Vollständig durchgerechnete Lösung</a></li>
|
||
<li><a href="https://lernpfadprismen.files.wordpress.com/2015/12/quader-nr7.png" rel="attachment wp-att-826"><img data-attachment-id="826" data-permalink="https://lernpfadprismen.wordpress.com/masse/masse-des-quaders/quader-nr7/" data-orig-file="https://lernpfadprismen.files.wordpress.com/2015/12/quader-nr7.png" data-orig-size="720,720" data-comments-opened="0" data-image-meta="{"aperture":"0","credit":"","camera":"","caption":"","created_timestamp":"0","copyright":"","focal_length":"0","iso":"0","shutter_speed":"0","title":"","orientation":"0"}" data-image-title="Quader Nr7" data-image-description="" data-medium-file="https://lernpfadprismen.files.wordpress.com/2015/12/quader-nr7.png?w=300" data-large-file="https://lernpfadprismen.files.wordpress.com/2015/12/quader-nr7.png?w=620" class="alignright size-thumbnail wp-image-826" src="https://lernpfadprismen.files.wordpress.com/2015/12/quader-nr7.png?w=150&h=150" alt="Quader Nr7" width="150" height="150" srcset="https://lernpfadprismen.files.wordpress.com/2015/12/quader-nr7.png?w=150&h=150 150w, https://lernpfadprismen.files.wordpress.com/2015/12/quader-nr7.png?w=300&h=300 300w" sizes="(max-width: 150px) 100vw, 150px" /></a>Eine Verkehrstafel aus 2 mm starkem Eisenblech mit<br />
|
||
ρ = 7 870 kg/m³ hat die Form eines Quadrates mit 96 cm Kantenlänge.<br />
|
||
Wie groß ist ihre Masse? Gib das Ergebnis in kg an und runde auf eine Dezimalstelle.<br />
|
||
<span style="color:#999999;">Lösung: m = 14,5 kg</span><br />
|
||
<img data-attachment-id="571" data-permalink="https://lernpfadprismen.wordpress.com/zusatz/logo_final_klein/" data-orig-file="https://lernpfadprismen.files.wordpress.com/2015/12/logo_final_klein.png" data-orig-size="25,23" data-comments-opened="0" data-image-meta="{"aperture":"0","credit":"","camera":"","caption":"","created_timestamp":"0","copyright":"","focal_length":"0","iso":"0","shutter_speed":"0","title":"","orientation":"0"}" data-image-title="" data-image-description="" data-medium-file="https://lernpfadprismen.files.wordpress.com/2015/12/logo_final_klein.png?w=25" data-large-file="https://lernpfadprismen.files.wordpress.com/2015/12/logo_final_klein.png?w=25" class="alignnone size-full wp-image-571" src="https://lernpfadprismen.files.wordpress.com/2015/12/logo_final_klein.png?w=620" alt="" /> <a href="https://lernpfadprismen.files.wordpress.com/2016/02/loesungpage20-quader7.pdf" target="_blank" rel="">Vollständig durchgerechnete Lösung</a></li>
|
||
<li>Auf einem Dach (2 rechteckige Dachflächen) liegt Schnee. Eine Dachfläche ist 8 m lang und 4,6 m breit.<br />
|
||
a) Wie groß <a href="https://lernpfadprismen.files.wordpress.com/2015/12/hucc88tte.jpg" rel="attachment wp-att-828"><img data-attachment-id="828" data-permalink="https://lernpfadprismen.wordpress.com/masse/masse-des-quaders/quader-bsp-8/" data-orig-file="https://lernpfadprismen.files.wordpress.com/2015/12/hucc88tte.jpg" data-orig-size="314,120" data-comments-opened="0" data-image-meta="{"aperture":"2.2","credit":"","camera":"iPhone 6s","caption":"Quader, Bsp.8","created_timestamp":"1452337278","copyright":"","focal_length":"4.15","iso":"25","shutter_speed":"0.00067613252197431","title":"Quader, Bsp.8","orientation":"1"}" data-image-title="Quader, Bsp.8" data-image-description="" data-medium-file="https://lernpfadprismen.files.wordpress.com/2015/12/hucc88tte.jpg?w=300" data-large-file="https://lernpfadprismen.files.wordpress.com/2015/12/hucc88tte.jpg?w=314" class="wp-image-828 size-thumbnail alignright" src="https://lernpfadprismen.files.wordpress.com/2015/12/hucc88tte.jpg?w=150&h=57" alt="" width="150" height="57" srcset="https://lernpfadprismen.files.wordpress.com/2015/12/hucc88tte.jpg?w=150&h=57 150w, https://lernpfadprismen.files.wordpress.com/2015/12/hucc88tte.jpg?w=298&h=114 298w" sizes="(max-width: 150px) 100vw, 150px" /></a>ist die Masse des Schnees, wenn der Schnee 50 cm hoch liegt und eine Dichte von ρ = 350 kg/m³ hat?<br />
|
||
b) Wie viele Männer von 80 kg haben dieselbe Masse wie diese Schneeschicht?<br />
|
||
<span style="color:#999999;">Lösung: m = 12 600 kg, 161 Personen</span><br />
|
||
<img data-attachment-id="571" data-permalink="https://lernpfadprismen.wordpress.com/zusatz/logo_final_klein/" data-orig-file="https://lernpfadprismen.files.wordpress.com/2015/12/logo_final_klein.png" data-orig-size="25,23" data-comments-opened="0" data-image-meta="{"aperture":"0","credit":"","camera":"","caption":"","created_timestamp":"0","copyright":"","focal_length":"0","iso":"0","shutter_speed":"0","title":"","orientation":"0"}" data-image-title="" data-image-description="" data-medium-file="https://lernpfadprismen.files.wordpress.com/2015/12/logo_final_klein.png?w=25" data-large-file="https://lernpfadprismen.files.wordpress.com/2015/12/logo_final_klein.png?w=25" class="alignnone size-full wp-image-571" src="https://lernpfadprismen.files.wordpress.com/2015/12/logo_final_klein.png?w=620" alt="" /> <a href="https://lernpfadprismen.files.wordpress.com/2016/02/loesungpage21-quader8.pdf" target="_blank" rel="">Vollständig durchgerechnete Lösung</a></li>
|
||
<li>Die Baugrube für ein Schwimmbad ist a = 27 m lang, 12 m breit und 2 m tief.<br />
|
||
a) Wie viel m³ Erde müssen ausgebaggert werden?<br />
|
||
b) Welche Masse hat das Erdreich, wenn ρ = 5 540 kg/m³? Gib das Ergebnis in Tonnen an.<br />
|
||
c) Ein LKW kann 30 Tonnen transportieren, wie viele LKW-Fuhren werden benötigt?<br />
|
||
<span style="color:#999999;">Lösung: 648 m³ Erde, m = 3 589,92 t, 120 LKW Fahrten</span><br />
|
||
<img data-attachment-id="571" data-permalink="https://lernpfadprismen.wordpress.com/zusatz/logo_final_klein/" data-orig-file="https://lernpfadprismen.files.wordpress.com/2015/12/logo_final_klein.png" data-orig-size="25,23" data-comments-opened="0" data-image-meta="{"aperture":"0","credit":"","camera":"","caption":"","created_timestamp":"0","copyright":"","focal_length":"0","iso":"0","shutter_speed":"0","title":"","orientation":"0"}" data-image-title="" data-image-description="" data-medium-file="https://lernpfadprismen.files.wordpress.com/2015/12/logo_final_klein.png?w=25" data-large-file="https://lernpfadprismen.files.wordpress.com/2015/12/logo_final_klein.png?w=25" class="alignnone size-full wp-image-571" src="https://lernpfadprismen.files.wordpress.com/2015/12/logo_final_klein.png?w=620" alt="" /> <a href="https://lernpfadprismen.files.wordpress.com/2016/02/loesungpage22-quader9.pdf" target="_blank" rel="">Vollständig durchgerechnete Lösung</a></li>
|
||
<li>Konditorlehrlinge stellten in Barcelona eine Riesentafel Schokolade her.<br />
|
||
Maße: 10 m x 5 m x 75 cm her.<br />
|
||
1 cm³ Schokolade hat die Masse von 1,6 g.<br />
|
||
Berechne die Masse der Riesentafel. Gib das Ergebnis in Tonnen an.<br />
|
||
<span style="color:#999999;">Lösung: m = 60 t</span><br />
|
||
<img data-attachment-id="571" data-permalink="https://lernpfadprismen.wordpress.com/zusatz/logo_final_klein/" data-orig-file="https://lernpfadprismen.files.wordpress.com/2015/12/logo_final_klein.png" data-orig-size="25,23" data-comments-opened="0" data-image-meta="{"aperture":"0","credit":"","camera":"","caption":"","created_timestamp":"0","copyright":"","focal_length":"0","iso":"0","shutter_speed":"0","title":"","orientation":"0"}" data-image-title="" data-image-description="" data-medium-file="https://lernpfadprismen.files.wordpress.com/2015/12/logo_final_klein.png?w=25" data-large-file="https://lernpfadprismen.files.wordpress.com/2015/12/logo_final_klein.png?w=25" class="alignnone size-full wp-image-571" src="https://lernpfadprismen.files.wordpress.com/2015/12/logo_final_klein.png?w=620" alt="" /> <a href="https://lernpfadprismen.files.wordpress.com/2016/02/loesungpage23-quader10.pdf" target="_blank" rel="">Vollständig durchgerechnete Lösung</a></li>
|
||
</ol>
|
||
<h1>Umkehraufgaben</h1>
|
||
<p>Die Dichte eines Körpers berechnest du, indem du die Masse (m) durch das Volumen (V) dividierst. Siehe Kapitel <a href="https://lernpfadprismen.wordpress.com/masse/dichte/">Dichte</a>!</p>
|
||
<ul>
|
||
<li>Bevor du die Beispiele löst, schau dir die Videos mit den Erklärungen an.<br />
|
||
<a href="https://lernpfadprismen.wordpress.com/vernetzte-aufgaben/berechnen-der-dichte/"><img class="alignnone size-full wp-image-470" src="https://lernpfadprismen.files.wordpress.com/2015/10/video_kl.png?w=620" alt="Video_kl" /></a> <a href="https://lernpfadprismen.wordpress.com/masse/berechnen-der-dichte-umkehraufgabe/"><img data-attachment-id="470" data-permalink="https://lernpfadprismen.wordpress.com/oberflaeche/oberflaeche-des-wuerfels/video_kl/" data-orig-file="https://lernpfadprismen.files.wordpress.com/2015/10/video_kl.png" data-orig-size="77,81" data-comments-opened="0" data-image-meta="{"aperture":"0","credit":"","camera":"","caption":"","created_timestamp":"0","copyright":"","focal_length":"0","iso":"0","shutter_speed":"0","title":"","orientation":"0"}" data-image-title="Video_kl" data-image-description="" data-medium-file="https://lernpfadprismen.files.wordpress.com/2015/10/video_kl.png?w=77" data-large-file="https://lernpfadprismen.files.wordpress.com/2015/10/video_kl.png?w=77" class="alignnone wp-image-470 size-full" src="https://lernpfadprismen.files.wordpress.com/2015/10/video_kl.png?w=620" alt="Video_kl" /></a></li>
|
||
<li>Achte bei allen Rechnungen darauf, ob die Angaben in der gleichen Einheit angegeben sind – wenn nicht: wandle auf eine gleiche Einheit um.</li>
|
||
</ul>
|
||
<ol>
|
||
<li>Ein gerades gleichseitiges Prisma aus Glas hat eine Masse von 7,5 kg.<br />
|
||
Das Prisma ist 50 cm hoch und hat eine 60 cm2 große Grundfläche.<br />
|
||
Wie groß ist die Dichte des verwendeten Glases in kg/m³.<br />
|
||
<span style="color:#999999;">Lösung: ρ = 2 500 kg/m³</span><br />
|
||
<img data-attachment-id="571" data-permalink="https://lernpfadprismen.wordpress.com/zusatz/logo_final_klein/" data-orig-file="https://lernpfadprismen.files.wordpress.com/2015/12/logo_final_klein.png" data-orig-size="25,23" data-comments-opened="0" data-image-meta="{"aperture":"0","credit":"","camera":"","caption":"","created_timestamp":"0","copyright":"","focal_length":"0","iso":"0","shutter_speed":"0","title":"","orientation":"0"}" data-image-title="" data-image-description="" data-medium-file="https://lernpfadprismen.files.wordpress.com/2015/12/logo_final_klein.png?w=25" data-large-file="https://lernpfadprismen.files.wordpress.com/2015/12/logo_final_klein.png?w=25" class="alignnone size-full wp-image-571" src="https://lernpfadprismen.files.wordpress.com/2015/12/logo_final_klein.png?w=620" alt="" /> <a href="https://lernpfadprismen.files.wordpress.com/2016/02/loesungpage25-quaderumkehr1.pdf" target="_blank" rel="">Vollständig durchgerechnete Lösung</a></li>
|
||
<li>Eine Sandkiste mit a = 4 m und b = 3,5 m wird mit 11,2 t Sand aufgeschüttet.<br />
|
||
Wie hoch liegt der Sand (ρ = 1 600 kg/m³)?<br />
|
||
<span style="color:#999999;">Lösung: h = 0,5 m</span><br />
|
||
<img data-attachment-id="571" data-permalink="https://lernpfadprismen.wordpress.com/zusatz/logo_final_klein/" data-orig-file="https://lernpfadprismen.files.wordpress.com/2015/12/logo_final_klein.png" data-orig-size="25,23" data-comments-opened="0" data-image-meta="{"aperture":"0","credit":"","camera":"","caption":"","created_timestamp":"0","copyright":"","focal_length":"0","iso":"0","shutter_speed":"0","title":"","orientation":"0"}" data-image-title="" data-image-description="" data-medium-file="https://lernpfadprismen.files.wordpress.com/2015/12/logo_final_klein.png?w=25" data-large-file="https://lernpfadprismen.files.wordpress.com/2015/12/logo_final_klein.png?w=25" class="alignnone size-full wp-image-571" src="https://lernpfadprismen.files.wordpress.com/2015/12/logo_final_klein.png?w=620" alt="" /> <a href="https://lernpfadprismen.files.wordpress.com/2016/02/loesungpage26-quaderumkehr2.pdf" target="_blank" rel="">Vollständig durchgerechnete Lösung</a></li>
|
||
<li>Ein Quader aus Aluminium (ρ = 2 700 kg/m³) mit der Masse m = 9,45 kg hat eine Länge von 35 cm und ist 5 cm breit. Wie hoch ist der Quader?<br />
|
||
<span style="color:#999999;">Lösung: h = 20 cm</span><br />
|
||
<img data-attachment-id="571" data-permalink="https://lernpfadprismen.wordpress.com/zusatz/logo_final_klein/" data-orig-file="https://lernpfadprismen.files.wordpress.com/2015/12/logo_final_klein.png" data-orig-size="25,23" data-comments-opened="0" data-image-meta="{"aperture":"0","credit":"","camera":"","caption":"","created_timestamp":"0","copyright":"","focal_length":"0","iso":"0","shutter_speed":"0","title":"","orientation":"0"}" data-image-title="" data-image-description="" data-medium-file="https://lernpfadprismen.files.wordpress.com/2015/12/logo_final_klein.png?w=25" data-large-file="https://lernpfadprismen.files.wordpress.com/2015/12/logo_final_klein.png?w=25" class="alignnone size-full wp-image-571" src="https://lernpfadprismen.files.wordpress.com/2015/12/logo_final_klein.png?w=620" alt="" /> <a href="https://lernpfadprismen.files.wordpress.com/2016/02/loesungpage27-quaderumkehr3.pdf" target="_blank" rel="">Vollständig durchgerechnete Lösung</a></li>
|
||
<li>Eine Marmorplatte hat eine Masse von 31,2 kg. (Marmor: ρ = 2,6 kg/dm³).<br />
|
||
Wie dick (hoch) ist die Platte, wenn sie 1,2 m lang und 25 cm breit ist?<br />
|
||
<span style="color:#999999;">Lösung: h = 4 cm</span><br />
|
||
<img data-attachment-id="571" data-permalink="https://lernpfadprismen.wordpress.com/zusatz/logo_final_klein/" data-orig-file="https://lernpfadprismen.files.wordpress.com/2015/12/logo_final_klein.png" data-orig-size="25,23" data-comments-opened="0" data-image-meta="{"aperture":"0","credit":"","camera":"","caption":"","created_timestamp":"0","copyright":"","focal_length":"0","iso":"0","shutter_speed":"0","title":"","orientation":"0"}" data-image-title="" data-image-description="" data-medium-file="https://lernpfadprismen.files.wordpress.com/2015/12/logo_final_klein.png?w=25" data-large-file="https://lernpfadprismen.files.wordpress.com/2015/12/logo_final_klein.png?w=25" class="alignnone size-full wp-image-571" src="https://lernpfadprismen.files.wordpress.com/2015/12/logo_final_klein.png?w=620" alt="" /> <a href="https://lernpfadprismen.files.wordpress.com/2016/02/loesungpage28-quaderumkehr4.pdf" target="_blank" rel="">Vollständig durchgerechnete Lösung</a></li>
|
||
<li>Wie lang ist ein 2,5 m hohes und 4,5 m breites Wohnzimmer, wenn die Luft eine Masse von 87,075 kg hat? (Luft: ρ = 1,29 kg/m³).<br />
|
||
<span style="color:#999999;">Lösung: a = 6 m</span><br />
|
||
<img data-attachment-id="571" data-permalink="https://lernpfadprismen.wordpress.com/zusatz/logo_final_klein/" data-orig-file="https://lernpfadprismen.files.wordpress.com/2015/12/logo_final_klein.png" data-orig-size="25,23" data-comments-opened="0" data-image-meta="{"aperture":"0","credit":"","camera":"","caption":"","created_timestamp":"0","copyright":"","focal_length":"0","iso":"0","shutter_speed":"0","title":"","orientation":"0"}" data-image-title="" data-image-description="" data-medium-file="https://lernpfadprismen.files.wordpress.com/2015/12/logo_final_klein.png?w=25" data-large-file="https://lernpfadprismen.files.wordpress.com/2015/12/logo_final_klein.png?w=25" class="alignnone size-full wp-image-571" src="https://lernpfadprismen.files.wordpress.com/2015/12/logo_final_klein.png?w=620" alt="" /> <a href="https://lernpfadprismen.files.wordpress.com/2016/02/loesungpage29-quaderumkerhr5.pdf" target="_blank" rel="">Vollständig durchgerechnete Lösung</a></li>
|
||
</ol>
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<aside id="text-3" class="widget widget_text"><h3 class="widget-title">Projektarbeit</h3> <div class="textwidget"><pre>Dieser Lernpfad ist im Rahmen des Studiums "eEducation" an der Donau Universität Krems als Projektarbeit von Rene Brüger, Mone Denninger, Karin Kitzwögerer, Gundula Schirgenhofer und Martina Teufl im Schuljahr 2015/16 entstanden.</pre>
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