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• KarolSánchez

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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

)]