SSC CGL 2018 PYQ — Question 40

SSC CGL Tier II Quant - 20/02/2018 • Quantitative Aptitude • Q40

A prism has a regular hexagonal base with side 6 cm. If the total surface area of prism is 216√3 cm2, then what is the height (in cm) of prism?

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 3√3

Let height  = h

T.S.A. = C.S.A. + 2 (Area of Base)

216√3 = 6 × 6 × h + 2 × 6 ×  × (6)2

216√3 – 108√3 = 36 × h

h =  = 3√3

height = 3√3