Correct Answer - Option 3 : 1350
Given :-
The base of a right prism is a regular hexagon of side 5 cm
height is 12 √3 cm
Concept :-
Prism is a part of cylinder so,
Volume of prism = Base × Height
As base of prism is shan so
Volume of prism with base hexagonal = base area × height
Base area = Area of hexagonal is equal to area of 6 equilateral triangle = 6 × (√3/4) × side2
Calculation :-
⇒ Base area = 6 × (√3/4) × 52
⇒ Base area = 150 × (√3/4)
⇒ Volume = 150 × (√3/4) × 12√3
⇒ Volume = (1800 × 3)/4
⇒ Volume = 1350 cm3
∴ Volume = 1350 cm3
