TABLA DE AacuteREAS Y VOLUacuteMENES

cuadrado

A = a2

triaacutengulo

A = B middot h 2

rectaacutengulo

A = B middot h

romboide

A = B middot h

rombo

A = D middot d 2

trapecio

A = (B + b) middot h 2

poliacutegono regular

A = P middot a 2 (1)

ciacuterculo

A = middot R2

P = 2 middot middot R

corona circular

A = middot (R2 r2)

sector circular

A = middot R2 middot n 360

cubo

A = 6 middot a2

V = a3

cilindro

A = 2 middot middot R middot (h + R)

V = middot R2 middot h

ortoedro

A = 2 middot (amiddotb + amiddotc + bmiddotc)

V = a middot b middot c

cono

A = middot R2 middot (h + g) (2)

V = middot R2 middot h 3

prisma recto

A = P middot (h + a)

V = AB middot h (3)

tronco de cono

A = middot [gmiddot(r+R)+r2+R2]

V = middot h middot (R2+r2+Rmiddotr) 3

tetraedro regular

A = a2 middot 3

V = a2 middot 2 12

esfera

A = 4 middot middot R2

V = 4 middot middot R3 3

octaedro regular

A = 2 middot a2 middot 3

V = a3 middot 2 3

huso cuntildea esfeacuterica

A = 4 middot middotR2 middot n 360

V = VEsf middot n 360

piraacutemide recta

A = P middot (a + a) 2

V = AB middot h 3

casquete esfeacuterico

A = 2 middot middot R middot h

V = middot h2 middot (3middotR h) 3

tronco de piraacutemide

A=frac12(P+P)middota+AB+AB

V = (AB+AB+ ABmiddot AB) middot h3

zona esfeacuterica

A = 2 middot middot R middot h

V = middothmiddot(h2+3middotr2+3middotr2) 6

(1) P es el periacutemetro (suma de la longitud de los lados) a es la apotema (2) g es la generatriz es la raiacutez cuadrada del nuacutemero (3) AB es el aacuterea de la base h es la altura R y r son los radios