Question

um prisma regular triangular, tem altura de 8 cm e aresta da base de 4cm. Calcule a área total e o volume desse prisma

Answer 1

dados :
>>>>>>>>
um prisma regular triangular :
altura = h = 8cm
aresta da base = a = 4cm

1era formula da prisma
====================
Area da base :
>>>>>>>>>>>>>
Ab = a^2 . \/3
........._______
................4

Ab = (4)^2 .\/3
........._______
..................4

Ab = 16 . \/3
..........______
.................4

Ab = 4 . \/3 cm^2

2da formula prisma
=================
Area lateral :
>>>>>>>>>>>
Al = 3 x ( b x b )
Al = 3 x ( 4 x 8 )
Al = 3 x 32
Al = 96 cm^2

3era formula da prisma
====================
Area total :
>>>>>>>>>>
At = 2Ab + Al
At = 2 ( 4.\/3) + 96
At = 8.\/3 + 96 cm^2
At = 96 + 8.\/3 cm^2
At = 8x(12 + \/3) cm^2

4ta formula de prisma
===================
Volume :
>>>>>>>>
Vol. = Ab x h
Vol. = (4.\/3)(8)
Vol. = 32.\/3 cm^3