raven1wish
raven1wish raven1wish
  • 12-03-2018
  • Mathematics
contestada

What is the surface area of the triangular prism shown?

A. 860 ft 2

B. 920 ft 2

C. 1,040 ft 2

D. 760 ft 2

What is the surface area of the triangular prism shown A 860 ft 2 B 920 ft 2 C 1040 ft 2 D 760 ft 2 class=

Respuesta :

calculista
calculista calculista
  • 10-06-2018
we know that
surface area=2*area of the base+perimeter of base*height 

area of the base=b*h/2
b=8 ft
h=15 ft
so
area of triangle=8*15/2-------> 60 ft²

perimeter of base=a+b+c
a=15 ft
b=8 ft
c=?
applying the Pythagoras theorem
c²=a²+b²------> c²=15²+8²------> c²=225+64------> 289
c=√289------> c=17 ft
perimeter=15+8+17=40 ft

height of the prism=20 ft

surface area=2*60+40*20------> 920 ft²

the answer is the option
B. 920 ft 2
Answer Link
MRSHOURSE MRSHOURSE
  • 25-05-2019

The Answer to the problem  is B. 920 ft 2

Answer Link

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