Question

El are dd una piramidd de altura 8cm ,cpn base pentagonal regular de 6cm de lado y dd apotema 1cm es

Answer 1

Piramide pentagonal:

h = 8cm

ap = 1 cm

L = 6cm

Area de la base = 5*L*ap/2 = 2,5*L*ap = 2,5*6*1 = 15 cm²

apotema de las caras laterales

apl² = ap² + h² = 1 + 64 = 65

apl = √65

Area de las caras laterales = 5*L*apl/2 = 2,5*6*√65 = 15*√65 cm²

Area total = area base + areas laterales = 15 + 15*√65 = 15* (1 +√65) cm² ≈ 135,93 cm²