Question

Calcule a área total do sólido indicado na figura

Answer 1

17.-)
a)Solucao
########
Area total (At) :
~~~~~~~~~~~~~
At = (2*a*b + 2*b*c + 2*a*c) + (2*a*b + 2*b*c + 2*a*c)

At = (2*18*6 + 2*6*10 + 2*18*10) + (2*18*6 + 2*6*10 + 2*18*10)

At = ( 36*6 + 12*10 + 36*10) + (36*6 + 12*10 + 36*10)

At = (216 + 120 + 360) + (216 + 120 + 360)

At = (336 + 360) + (336 + 360)

At = 696 + 696

At = 1.392

Volume :
~~~~~~~~
Vol. = (a*b*c) + (a*b*c)

Vol. = (18*6*10) + (18*6*10)

Vol. = (108*10) + (108*10)

Vol. = 1.080 + 1.080

Vol. = 2.160

b) Solucao :
#########
Atotal = (2*a*b + 2*b*c + 2*a*c) + (2*a*b + 2*b*c + 2*a*c)

Atotal = (2*12*4 + 2*4*5 + 2*12*5) + (2*5*5 + 2*5*4 + 2*5*4)

Atotal = (24*4 + 8*5 + 24*5) + (10*5 + 10*4 + 10*4)

Atotal = ( 96 + 40 + 120) + (50 + 40 + 40)

Atotal = ( 136 + 120) + (90 + 40)

Atotal = 256 + 130

Atotal = 386

Volume :
~~~~~~~~
Vol. = (a*b*c) + (a*b*c)

Vol. = (12*4*5) + (5*5*4)

Vol. = (48*5) + (25*4)

Vol. = 240 + 100

Vol. = 340

18.-)
Solucao :
#######
Area total :
~~~~~~~~~~
Atotal = (2*a*b + 2a*c) + (2*a*b + 2*b*c) + (2*a*b + 2*b*c)

Atotal = (2*4*2 + 2*4*7) + (2*4*2 + 2*4*7) + (2*5*2 + 2*2*4)

Atotal = (8*2+8*7) + (8*2 + 8*7) + (10*2+4*4)

Atotal = (16+56) + (16+56) + (20+16)

Atotal = 72 + 72 + 36

Atotal = 144 + 36

Atotal = 180

Vol. = (a*b*c) + (a*b*c) + (a*b*c)

Vol. = (4*2*7) + (5*2*4) +(4*2*7)

Vol. = (8*7) + (10*4) + (8*7)

Vol. = 56 + 40 + 56

Vol. = 96 + 56

Vol. = 152