13 Questions
Was ist der Oberflächeninhalt eines 3D-Körpers?
Die Summe der Flächen aller Oberflächen
Wie berechnet man die Oberfläche eines Quaders?
SA = 2(lw + lh + wh)
Was ist die Einheit des Volumens von Kuboiden?
Kubikmeter
Wie berechnet man das Volumen eines Quaders?
V = lwh
Welche Formel berechnet man das Volumen eines Zylinders?
V = πr^2h
Wie berechnet man die Oberfläche einer Kugel?
SA = 4πr^2
Welche Formel berechnet man das Volumen einer Kugel?
V = (4/3)πr^3
Was ist die Formel für die Oberfläche eines Würfels?
6 × s²
Was ist die deutsche Bezeichnung für die Oberfläche eines 3D-Körpers?
Oberflächeninhalt
Wenn die Seitenlänge eines Würfels 4 cm beträgt, wie groß ist die Oberfläche?
96 cm²
Was ist die Formel für das Volumen eines Würfels?
s³
Wie berechnet man das Volumen eines rechteckigen Quaders?
l × w × h
Was ist die Einheit des Oberflächeninhalts?
cm²
Study Notes
Geometry Notes
Surface Area
- The surface area of a 3D shape is the total area of all its surfaces.
- Formula: SA = 2(lw + lh + wh) for a cuboid, where l is length, w is width, and h is height.
- SA = 4πr^2 for a sphere, where r is the radius.
- SA = 2πr(h + r) for a cylinder, where r is the radius and h is the height.
Volume of Cuboids
- The volume of a cuboid is the amount of space inside the cuboid.
- Formula: V = lwh, where l is length, w is width, and h is height.
- Unit of measurement: cubic units (e.g. cubic meters, cubic centimeters)
Oberflächeninhalt (Surface Area in German)
- Oberflächeninhalt is the German term for surface area.
- It is the sum of the areas of all surfaces of a 3D shape.
- Important for calculating the surface area of various shapes, such as cubes, cuboids, and spheres.
Formeln fuer Volumen (Formulas for Volume in German)
- Formulas for calculating the volume of different shapes:
- Cuboid: V = lwh
- Cube: V = s^3, where s is the side length
- Cylinder: V = πr^2h, where r is the radius and h is the height
- Sphere: V = (4/3)πr^3, where r is the radius
- Cone: V = (1/3)πr^2h, where r is the radius and h is the height
Test your knowledge of geometry formulas and surface area in German. Calculate the surface area and volume of different shapes, including cuboids, spheres, and cylinders.
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