Question

Deternime a area lateral e o volume de um prisma reto de 25 cm de altura,cuja base e um.hexagonal regular de apotema 4 4 raiz de 3 cm.

Answer 1

$\boxed{V = A_b*h}\\\\ A_b= \frac{6l^2\sqrt{3}}{4}\\\\ A_b = \frac{6*(4\sqrt{3})^2\sqrt{3}}{4}\\\\ \boxed{A_b = 216\sqrt{3}\ cm^2}}\\\\ V = 216\sqrt{3}*25\\\\ \boxed{V = 5400\sqrt{3}\ cm^3}$

$\boxed{A_l = 6(l*h)}\\\\ A_l = 6(4\sqrt{3}*25)\\\\ \boxed{A_l=600\sqrt{3}\ cm^2}$