Q36
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?
A.
3√3
AnswerB.
6√3
C.
6
D.
3
Answer: Option A
Solution
Answer: Option A
Solution:
Total surface area = perimeter × height + 2 × area of base216√3 = 6 × 6 × h + 2 × 6 × × 6 × 6
216√3 = 36h + 108√3
108√3 = 36h
h = 3√3 cm