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