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2. Berechnen Sie das Volumen (in \( \mathrm{m}^{3} \) ) des Quaders: Kantenlänge \( =3.05 \mathrm{~m} \quad \) Höhe \( =12 \mathrm{dm} \) Kantenbreite \( =220 \mathrm{~cm} \)

Ask by Sandoval Perkins. in Switzerland
Nov 23,2024

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Das Volumen des Quaders beträgt \( 8.052 \, \text{m}^{3} \).

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The Deep Dive

Um das Volumen eines Quaders zu berechnen, multipliziert man seine Kantenlängen. Zuerst sollten wir alle Maße in der gleichen Einheit haben. Die Höhe beträgt 12 dm, was 1,2 m entspricht (da 1 dm = 0,1 m). Die Kantenbreite von 220 cm entspricht 2,2 m (da 1 cm = 0,01 m). Nun sind alle Maße in Metern: Kantenlänge = 3,05 m, Höhe = 1,2 m, Kantenbreite = 2,2 m. Das Volumen \( V \) berechnet sich somit zu: \[ V = 3,05 \, \text{m} \times 1,2 \, \text{m} \times 2,2 \, \text{m} = 8,058 \, \text{m}^3. \] Also ist das Volumen des Quaders ungefähr \( 8,058 \, \mathrm{m}^{3} \).

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