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