Ex. 12 The height of a right prism is 10 cm. Its base is a triangle with sides 10 cm, 17 cm and 9 cm. Find the volume of the prism. (1) 360 cm (2) 355 cm (3) 368 cm (4) None of these 3 3 3
area of right prism = base area* height .. s= a+b+c/2 ... 12/2= 6 .... area of base=area of traingle = √s(s-a)(s-b)(s-c)=. √36= 6 cm ^2 . volume of prism = area*height= 6*10= 60 cm ^3 .
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answer 1 will be option 2) 355 cm
The perimeter of the base is the sum of the lengths of the sides.
p=6+5+12+5=28 cm
Since the base is an isosceles trapezoid, its area is 12h(b1+b2) .
B=12(4)(6+12)=36 cm2
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355 is the correct answer
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