# FÓRMULAS DE LAS ÁREAS Y VOLÚMENES DE LOS CUERPOS

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```					    FÓRMULAS DE LAS ÁREAS Y VOLÚMENES DE LOS CUERPOS GEOMÉTRICOS

Cuerpos              Área total (AT)      Área lateral (AL)          Área base/s (AB)               Volumen (V)

PRISMAS RECTOS                                                                              b · a (1)
2
AT = AL + 2AB         AL = PB · h              AB =        l2     (2)         V = AB · h
h                                                                    P · ap (3)
2
ORTOEDRO

c        AT = 2ab+2ac+2bc       AL = 2ac+2bc                   AB = 2ab                  V = a·b·c
b
a
CUBO
AT = 6a2               AL = 4a2                   AB = 2a2                   V = a3
a

PIRÁMIDES
RECTAS                                                                               b · a (1)                 1
2                  V=      A ⋅h
3 B
ap        AT = AL + AB                   PB ⋅ ap          AB =        l2     (2)         ó
h                                                    AL =
2                        P · ap (3)                   AB ⋅h
2                 V=
3
TRONCO DE
PIRÁMIDE
Bm                                          ( B + b) ⋅ a
AT = AL+ABM+ABm        AL =                ⋅n   AB = igual que en la
BM                                                    2
pirámide

CILINDRO                  AT = AL + 2AB
r
AT = 2πrg + 2πr2         AL = 2πrg                   AB = πr2                  V = πr2 · h
h        g

CONO                 AT = AL + AB                                                                      1
V=        ⋅π r 2 ⋅ h
3
AT = πrg + πr2           AL = πrg                   AB = πr2              ó
g    h              r
π r 2 ⋅h
V=
3
TRONCO DE CONO
r
g                           AT=πg(R+r)+πR2+πr2      AL = πg·(R+r)                ABM = πR2
R                                                         ABm = πr2

ESFERA
4
r                                                                                                V=     ⋅π r 3
A = 4πr 2
3

```
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