The document provides formulas for calculating the areas and volumes of various geometric solids including cubes, rectangular prisms, pyramids, cylinders, cones, spheres, and truncated cones and pyramids. It lists the formulas for calculating the lateral area (Al), total area (At), and volume (V) of each shape in terms of their dimensions like length (l), width (w), height (h), radius (R), and other variables.

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FORMULE - CORPURI GEOMETRICE
I. POLIEDRE
CUBUL
PARALELIPIPEDUL DREPTUNGHIC
Al = 4l 2 ; At = 6l 2 ; V = l 3
At = 2 ⋅ ( L ⋅ l + L ⋅ h + l ⋅ h ) ; V = L ⋅ l ⋅ h
d f = l 2; d = l 3
d = L2 + l 2 + h 2
PRISMA REGULATĂ
TRIUNGHIULARĂ
PATRULATERĂ
Al = Pb ⋅ h
At = Al + 2 ⋅ Ab
HEXAGONALĂ
V = Ab ⋅ h
PIRAMIDA REGULATĂ
TRIUNGHIULARĂ
Al =
PATRULATERĂ
Pb ⋅ a p
2
At = Al + Ab
HEXAGONALĂ
V=
Ab ⋅ h
3

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TRUNCHIUL DE PIRAMIDĂ REGULATĂ
TRIUNGHIULARĂ
Al =
PATRULATERĂ
( PB + Pb ) ⋅ at
At = Al + AB + Ab
2
HEXAGONALĂ
V=
(
ht
⋅ AB + Ab + AB ⋅ Ab
3
II. CORPURI ROTUNDE
CILINDRUL
CONUL
Al = π RG
At = π R ( G + R )
Al = 2π RG
At = 2π R ( G + R )
V=
V =πR H
2
TRUNCHIUL DE CON
At = π Gt ( R + r ) + π R + π r
π Ht 2 2
V=
( R + r + Rr )
3
3
SFERA
Al = π Gt ( R + r )
2
π R2 H
2
A = 4π R 2
4π R 3
V=
3
)