Benutzer:Räubertochter: Unterschied zwischen den Versionen

Version vom 21. April 2023, 21:00 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

@@ Zeile 2: / Zeile 2: @@
   Rechteck → Quader:
-V = a*b*c
 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:
-V = π∗r^2*h
 A = π∗r^2
 U = 2*π∗r
-M = 2*π∗r*h
+Zylinder → V = π∗r^2*h
+Zylinder → M = 2*π∗r*h
+Zylinder → O = 2*π*r*(r+h)
   Quadrat → Würfel:
-V = a^3
 U = 4*a
 A = a^2
+Würfel → V = a^3
+Würfel → O = 4*a^2
   gleichseitiges Dreieck → Prisma:
-V = ½g*h*hK
 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