Question

Sabendo que um prisma triangular regular tem 7cm de altura e 5cm de aresta da base cacular a área da base,area lateral,area total e volume

Answer 1

UMA PRISMA TRIANGULAR REGULAR
====================================
Dados :
>>>>>>>
altura = h = 7 cm
aresta da base = 5cm

¤ AREA DA BASE (Ab) :
....>>>>>>>>>>>>>>>>>>>

Ab = a^2 . \/3
.........._______
..................4

Ab = (5)^2 . \/3
.........________
..................4

Ab = 25 . \/3
.........______
................4

Ab = 6,25 . \/3
Ab = 6,25 x 1,73
Ab = 10,81 cm^2

¤ AREA LATERAL (Al) :
....>>>>>>>>>>>>>>>>>>

Al = 3 x a x h
Al = 3 x 5 x 7
Al = 15 x 7
Al = 105 cm^2

¤ AREA TOTAL (At) :
....>>>>>>>>>>>>>>>>

At = 2Ab + Al
At = 2(10,81) + 105
At = 21,62 + 105
At = 126,62 cm^2

¤ VOLUME (Vol.):
....>>>>>>>>>>>>>

Vol. = Ab + h
Vol. = 10,81 cm^2 x 7 cm
Vol. = 75,67 cm^3