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 )]