Berechne den Inhalt der Oberfläche O des Quaders mit den folgenden Kantenlängen: [br][br]a = 5 cm [br]b = 4 cm [br]c = 10 cm [br][br]Verwende dazu die Formel, die du gerade kennengelernt hast. [br][br]

Betrachte den Quader mit den Kanten x, y, z. [br]Welche Formeln zur Berechnung des Inhalts der Oberfläche sind korrekt? [br][br][br][img]data:image/png;base64,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[/img]

 ☆ Fabi sagt: "Wenn ich alle Kantenlängen des Quaders verdopple, so verdoppelt sich der Inhalt der Oberfläche.[br]Gib an, ob Fabis Vermutung stimmt. [br]Überprüfe deine Vermutung mit einem Quader mit selbstgewählten Kantenlängen.