Benutzer:Räubertochter: Unterschied zwischen den Versionen
Aus Geometrie-Wiki
| Zeile 2: | Zeile 2: | ||
Rechteck → Quader: | Rechteck → Quader: | ||
| − | |||
| − | |||
U = 2*a + 2*b | U = 2*a + 2*b | ||
A = a*b | A = a*b | ||
| − | + | Quader → V = a*b*c | |
| − | V = | + | |
| + | Quader → O = 2*a*b+2*a*c+2*b*c | ||
| + | |||
| + | Kreis → Zylinder: | ||
A = π∗r^2 | A = π∗r^2 | ||
U = 2*π∗r | U = 2*π∗r | ||
| − | + | Zylinder → V = π∗r^2*h | |
| − | + | Zylinder → M = 2*π∗r*h | |
| − | + | ||
| + | Zylinder → O = 2*π*r*(r+h) | ||
| + | |||
| + | Quadrat → Würfel: | ||
U = 4*a | U = 4*a | ||
A = a^2 | A = a^2 | ||
| − | + | Würfel → V = a^3 | |
| − | V = | + | |
| + | Würfel → O = 4*a^2 | ||
| + | |||
| + | gleichseitiges Dreieck → Prisma: | ||
U = a+b+c = 3*a = 3*b = 3*c | U = a+b+c = 3*a = 3*b = 3*c | ||
A = ½g*h | A = ½g*h | ||
| + | |||
| + | Prisma → V = ½g*h*hK | ||
| + | |||
| + | Prisma → M = U*hK | ||
| + | |||
| + | Prisma → O = 2*A+M | ||
Version vom 21. April 2023, 23:00 Uhr
Rechteck → Quader:
U = 2*a + 2*b
A = a*b
Quader → V = a*b*c
Quader → O = 2*a*b+2*a*c+2*b*c
Kreis → Zylinder:
A = π∗r^2
U = 2*π∗r
Zylinder → V = π∗r^2*h
Zylinder → M = 2*π∗r*h
Zylinder → O = 2*π*r*(r+h)
Quadrat → Würfel:
U = 4*a
A = a^2
Würfel → V = a^3
Würfel → O = 4*a^2
gleichseitiges Dreieck → Prisma:
U = a+b+c = 3*a = 3*b = 3*c
A = ½g*h
Prisma → V = ½g*h*hK
Prisma → M = U*hK
Prisma → O = 2*A+M
