Question

dado um prisma hexagonal de altura 4 cm e aresta da base 2 cm. calcule
a)area da base
b)area lateral
c)area total
d)volume do prisma

Answer 1

a)

$Sb = \frac{3. {2}^{2} \sqrt{3} }{2} = 6 \sqrt{3} {cm}^{2}$

b)

$Sl = 6.2.4 = 48 {cm}^{2}$

c)

$At= Al+2Ab \\ At= 48 +2. 6 \sqrt{3} \\ At = 48 + 12\sqrt{3} {cm}^{2} \\ At = 12(4 + \sqrt{3} ) {cm}^{2}$

d)

$V=Ab.h \\ V=6 \sqrt{3} .4 \\ V = 24 \sqrt{3} \: {cm}^{3}$