Originalapplet von Matthias Hornof, R. Herzog, GeoGebraTube Team

Fällt es dir schwer Annas Satz zu ergänzen bzw. möchtest du dein Ergebnis überprüfen, so kann dir das mit dieser - sehr ähnlichen - GeoGebra-Aktivität gelingen: [url=https://www.geogebra.org/m/P8NzfbVj]Volumen eines Quaders – GeoGebra[/url][br]Schaue dir dazu die Änderung der Rechnung an, wenn du die Würfelschichten 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[/img]