TABLA DE AREAS Y VOLUMENES

TABLA DE AREAS Y VOLUMENES
Cuadrado
Triángulo
A = a2
A=
B⋅h
2
Rectángulo
Romboide
Rombo
Trapecio
A = B⋅h
A=
A = B⋅h
D⋅d
2
(B + b ) ⋅ h
A=
Polígono regular
2
Círculo
P = 2π ⋅ R
A = π ⋅ R2
P⋅a
A=
2
a es la apotema / P es el perímetro
(suma de la longitud de los lados)
Corona circular
(
A=π ⋅ R −r
2
2
Sector circular
)
A=
Cubo
π ⋅ R2 ⋅ n
360
Cilindro
A = 6a 2
V = a3
A = 2π ⋅ R(h + R )
V = π ⋅ R2 ⋅ h
Ortoedro
Prisma recto
A = 2 ⋅ (ab + ac + bc )
V = a ⋅b⋅c
A = P ⋅ (h + a )
V = AB ⋅ h
AB es área de la base
Tronco de cono
Cono
[(
A = π ⋅ R (h + g )
A = p ⋅ g ⋅ (r + R ) + r2 + R 2
2
V =
g es la generatriz
π ⋅R ⋅h
2
V =
3
(
p ⋅ h ⋅ R + r + Rr
3
2
2
Tetraedro regular
Esfera
A = 3⋅a
A = 4 ⋅π ⋅ R2
4 ⋅π ⋅ R3
V =
3
V =
2
2 ⋅ a2
12
Huso: cuña esférica
Pirámide recta
P ⋅ (a + a ′)
A=
2
A ⋅h
V = B
3
4π ⋅ R 2 ⋅ n
A=
360
V ⋅n
V= E
360
Octaedro regular
A = 2 3⋅a
V =
Casquete esférico
A = 2π ⋅ R ⋅ h
π ⋅ h 2 ⋅ (3R − h )
V =
3
2
2 ⋅ a3
3
Tronco de pirámide
(P + P ′) ⋅ a ⋅ AB + AB′
A=
2
A + AB′ + AB ⋅ AB′ ⋅ h
V = B
3
(
)
)
Zona esférica
A = 2π ⋅ R ⋅ h
π ⋅ h ⋅ (h 2 + 3r 2 + 3r ′ 2 )
V =
6
)]