!"
#
&'
(
$
)
*
+
*
,
"
#
)
%
%
-
*
&
./
$
1
*
&(
0
&
&
2
0
"
/
!"
!
,
!"
3
*
!
4 &
*"
&#
/
"
2
*
4
*
#
#
.
"
"
*
!
*
56
7
*
&7
!
#
,
#
+
(
&' )
*
*
,
*
,
+
*
9&:
;&:
#
&
#
& )
!
+
&'
,
2
-
π *
,
#
/
0
&' (
!
&
)
)
)
!
&-
-
8'
&
)"
%
,
6
,
%
&'
0
!
<
-
8
*
!
!
/
)"
*
,
=&:
)"
-4
5
/
7
!
: +6
& &
"
*"
/
!
8
-
2
*
)"
?%
: 5
!
>
!
.
56
$
%
"
?%
&
2
O ( r ) = 4π r 2
/
4 3
πr
3
V (r ) =
-
2
-
AB
*
"
,
-
@
-
,
/
#
)
π
=
&
9C
O ( r ) = 4 ⋅π ⋅ r 2
O (18 ) = 4 ⋅ π ⋅182
= 1296π
und
4
⋅π ⋅ r3
3
4
=
⋅ π ⋅183
3
V (r ) =
V (18 )
(
0
-
(
!
%
= 7776π
<
)"
&
d2
= a2 + a2
d
= a⋅ 2
= 2a 2
56
a⋅ 2
a
e2
= 2a 2 + a 2
e
= a⋅ 3
*
= 3a 2
&
(
0
!
/
0
Raumdiagonale :
e = a⋅ 3
Radius :
1
r =
⋅ 3⋅a
2
Nach a (= Kantenlänge des Würfels) aufgelöst:
2
a (r ) =
⋅ 3 ⋅r
3
r = 18 eingesetzt :
2
a (18 ) =
⋅ 3 ⋅18 = 12 ⋅ 3
3
Volumen des Würfels:
V (a )
(
= a3
V 12 ⋅ 3
4
"
)
=
(12 ⋅ 3 )
3
= 8.972,97 [VE ]
5
4
"
6
5
&
*
&
1