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FORMULE - CORPURI GEOMETRICE
I. POLIEDRE
CUBUL PARALELIPIPEDUL DREPTUNGHIC
2
4lA l= ;
2
6tA l= ;
3
V l=
2;fd l= 3d l=
( )2tA L l L h l h= ⋅ ⋅ + ⋅ + ⋅ ; V L l h= ⋅ ⋅
2 2
d L l h2
= + +
PRISMA REGULATĂ
TRIUNGHIULARĂ PATRULATERĂ HEXAGONALĂ
l bA P h= ⋅ 2t l bA A A= + ⋅ bV A h= ⋅
PIRAMIDA REGULATĂ
TRIUNGHIULARĂ PATRULATERĂ HEXAGONALĂ
2
b p
l
P a
A
⋅
= t l bA A A= +
3
bA h
V
⋅
=
www.mateinfo.ro
TRUNCHIUL DE PIRAMIDĂ REGULATĂ
TRIUNGHIULARĂ PATRULATERĂ HEXAGONALĂ
( )
2
B b
l
P P a
A
+ ⋅
= t
bt l BA A A A= + + ( )3
t
B b B
h
V A A A bA= ⋅ + + ⋅
II. CORPURI ROTUNDE
CILINDRUL CONUL
2lA RGπ=
( )2tA R G Rπ= +
2
V R Hπ=
lA RGπ=
( )tA R G Rπ= +
2
3
R H
V
π
=
TRUNCHIUL DE CON SFERA
( )l tA G R rπ= +
( ) 2 2
t tA G R r R rπ π π= + + +
( )2 2
3
tH
V R r Rr
π
= + +
2
4A Rπ=
3
4
3
R
V
π
=
www.mateinfo.ro

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Formule corpuri

  • 1. FORMULE - CORPURI GEOMETRICE I. POLIEDRE CUBUL PARALELIPIPEDUL DREPTUNGHIC 2 4lA l= ; 2 6tA l= ; 3 V l= 2;fd l= 3d l= ( )2tA L l L h l h= ⋅ ⋅ + ⋅ + ⋅ ; V L l h= ⋅ ⋅ 2 2 d L l h2 = + + PRISMA REGULATĂ TRIUNGHIULARĂ PATRULATERĂ HEXAGONALĂ l bA P h= ⋅ 2t l bA A A= + ⋅ bV A h= ⋅ PIRAMIDA REGULATĂ TRIUNGHIULARĂ PATRULATERĂ HEXAGONALĂ 2 b p l P a A ⋅ = t l bA A A= + 3 bA h V ⋅ = www.mateinfo.ro
  • 2. TRUNCHIUL DE PIRAMIDĂ REGULATĂ TRIUNGHIULARĂ PATRULATERĂ HEXAGONALĂ ( ) 2 B b l P P a A + ⋅ = t bt l BA A A A= + + ( )3 t B b B h V A A A bA= ⋅ + + ⋅ II. CORPURI ROTUNDE CILINDRUL CONUL 2lA RGπ= ( )2tA R G Rπ= + 2 V R Hπ= lA RGπ= ( )tA R G Rπ= + 2 3 R H V π = TRUNCHIUL DE CON SFERA ( )l tA G R rπ= + ( ) 2 2 t tA G R r R rπ π π= + + + ( )2 2 3 tH V R r Rr π = + + 2 4A Rπ= 3 4 3 R V π = www.mateinfo.ro