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Formulario+cuerpos+geométricos
 

Formulario+cuerpos+geométricos

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    Formulario+cuerpos+geométricos Formulario+cuerpos+geométricos Document Transcript

    • 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(1) Base triangular (b=base, a=altura). (2) Base cuadrada (l=lado). (3) Polígono regular (P=perímetro, ap=apotema).