The base of a right prism is a regular hexagon of side 5 cm. If its height is 12√3 cm, then its volume (in cm3) is :
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 1350
Concept
Volume of Prism = Area of Base x Height
Since this is a hexagonal base, we need to find the area of base:
Area of Hexagonal Base = 6 x 6 × (√3/4) × side2
Application
Side = 5 cm (Given)
Height = 12√3 (Given)
Area of Base = (√3/4) × 52 x 6
150 × (√3/4)
Volume = 150 × (√3/4) × 12√3
= (1800 × 3)/4
= 1350 cm3