Question

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

• A. 6.54 cm
• B. 8 cm
• C. 4 cm
• D. None of these

Answer 1

The correct option is A 6.54 cm

Perimeter of triangle is $2s=28cm⟹s=14$

Inradius of triangle $r=4⟹\Delta =r.s=56$

Volume of prism $=366$ cc

$⟹$ Area of triangle $\times$ height $=366$

Height $=\frac{366}{56}=6.54$