Question

Num prisma triangular regular, a área da base é 4 raiz de 3 cm² e a área lateral é 36 cm². Calcule o volume

Answer 1

Olá

$A = \frac{l^2\sqrt3}{4}\\\\ 4\sqrt3 = \frac{l^2\sqrt3}{4}\\\\ 16\sqrt3 = l^2\sqrt3\\\\ l^2 = 16\\\\ l = 4cm\\\\\\ A_l = b.h\\\\ 36 = 4.h\\\\ h = 9cm\\\\ \\ V = A_B.H\\\\ V = 4\sqrt3.9\\\\ V = 36\sqrt3cm^3$