This document contains formulas for calculating properties of common geometric solids including cubes, rectangular prisms, right prisms, pyramids, truncated pyramids, cylinders, cones, spherical segments, and spheres. It lists the formulas for calculating the lateral area, total area, and volume of each solid.
1 of 2
Downloaded 49 times
More Related Content
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= â‹… â‹… + â‹… + â‹… ; V L l h= â‹… â‹…
2 2
d L l h2
= + +
PRISMA REGULATÄ‚
TRIUNGHIULARÄ‚ PATRULATERÄ‚ HEXAGONALÄ‚
l bA P h= â‹… 2t l bA A A= + â‹… bV A h= â‹…
PIRAMIDA REGULATÄ‚
TRIUNGHIULARÄ‚ PATRULATERÄ‚ HEXAGONALÄ‚
2
b p
l
P a
A
â‹…
= t l bA A A= +
3
bA h
V
â‹…
=
www.mateinfo.ro
2. TRUNCHIUL DE PIRAMIDÄ‚ REGULATÄ‚
TRIUNGHIULARÄ‚ PATRULATERÄ‚ HEXAGONALÄ‚
( )
2
B b
l
P P a
A
+ â‹…
= t
bt l BA A A A= + + ( )3
t
B b B
h
V A A A bA= â‹… + + â‹…
II. CORPURI ROTUNDE
CILINDRUL CONUL
2lA RGÏ€=
( )2tA R G RÏ€= +
2
V R HÏ€=
lA RGÏ€=
( )tA R G RÏ€= +
2
3
R H
V
Ï€
=
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
Ï€
= + +
2
4A RÏ€=
3
4
3
R
V
Ï€
=
www.mateinfo.ro