A) \[180\,c{{m}^{2}}\]
B) \[234\,c{{m}^{2}}\]
C) \[228\,c{{m}^{2}}\]
D) \[270\,c{{m}^{2}}\]
Correct Answer: C
Solution :
Perimeter of triangle \[=(s)=\frac{9+12+15}{2}=18\,cm\] \[\therefore \] Area of triangle \[=\sqrt{s(s-a)(s-b)(s-c)}\] \[=\sqrt{18(18-9)(18-12)(18-15)}\] \[=\sqrt{18\times 9\times 6\times 3}\] \[=54\,sq\,cm\] \[\therefore \] Total surface area of the prism = Perimeter of base height \[+\,\,2\,\,\times \] Area of base \[=36\times 5+2\times 54=288\text{ }sq\text{ }cm\]
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