RRB Junior Engineer Stage 1 Model Papers 5

Question : 27 of 100

Marks: +1, -0

The base of a right prism is a triangle whose perimeter is 28 cm and the in radius of the triangle is 4 cm. If the volume of the prism is 366 cc, then its height is

4 cm
8 cm
6 cm
None of these

Validate

Solution:

Area of base

=1/2×r×a+1/2×r×b+1/2×r×c

=1/2r(a+b+c)

=r×s=4×14=56 cm^2

[Where r = inradius, s = semi-perimeter]
volume of prism = area of base × height

366 = 56 × h

h = 6.5 cm [approx.]

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