Corpuri-geometrice-formule
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Transcript of Corpuri-geometrice-formule
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5/28/2018 Corpuri-geometrice-formule
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Piramida regulat
( )
2,3
,,2
'
2
'
,',222'
aLn
A
hA
V
bazeilaturaLLnPPaa
A
aPA
bazeiapotemaapiramideiapotemaahaa
b
b
bb
t
b
l
=
=
==+
=
=
==+=
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Piramida regulat
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( )
piramideiinaltimeahaLn
AhA
V
bazeilaturaLLnPPaa
A
aPA
bazeiapotemaapiramideiapotemaahaa
bb
bb
t
bl
=
=
=
==+
=
=
==+=
,2
,3
,,2
'
2
'
,',222'
Trunchiul de piramid regulat
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( )
( )
( ) piramidadetrinaltimeahAAAAhV
nalaL
AA
micibazeilaturalmaribazeilaturaLalL
nA
piramidadetrapotemaahaaa
bBbB
mMlt
tl
tmMt
.,3
22
,,2
.,222
=++=
+
+=
==+
=
=+=
Trunchiul de piramid regulat
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( )
( )
( ) piramidadetrinaltimeahAAAAhV
nalaL
AA
micibazeilaturalmaribazeilaturaLalL
nA
piramidadetrapotemaahaaa
bBbB
mMlt
tl
tmMt
.,3
22
,,2
.,222
=++=
+
+=
==+
=
=+=
Prisma dreapt
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prismeiinaltimeahhAVbazeiariaAAAA
hPA
b
bblt
bl
=
+=
=
,,2
Cilindrul circular drept
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( )hrhAV
grrAAA
rgA
b
blt
l
2
22
2
==+=+=
=
Conul circular drept
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( )
hrhAV
grrAAA
rgA
b
blt
l
2
3
1
3
1
==
+=+==
Trunchiul de con
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( )
( )
( )RrrRhV
rRrRgAAAA
rRgA
bBlt
l
++=
+++=++=
+=
22
22
3
Sfera
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3
4
4
3
2
rV
rA
=
=
