Question

determine a área total e o volume de um prisma hexagonal regular de aresta da base 8cm e aresta lareral 20 cm?

Answer 1

Aresta da base = 8cm
Aresta lateral 20cm

Altura destes triangulo :
= \/ (8)^2 - (8/2)^2
= \/ 64 - (4)^2
= \/ 64 - 16
= \/ 48
= \/ 16 x 3
= 4 \/3 cm

Area da base :

Ab = 20x8(8(4 \/ 3)
.........___________
...................2

Ab = 160(16\/3)
.........________
.................2

Ab = 2.569\/3
........._______
................2

Ab = 1.280\/3 cm^2


Area da lateral :
= 20 x 20 x 8
= 400x8
= 3.200cm^2

area total :
At = 2Ab + lateral
At = 2(4\/3) + 3.2000
At = 8\/ 3 + 3.200
At = 3.208 \/3

Volume :

V = (4\/3) (20)
V = 80 cm^3