xojade
09.02.2021 •
Mathematics
I need help. there are multiple answers. it says which modem can represent the expression
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Ответ:
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