The base of a right prism is an equilateral triangle with each side measuring 4 cm. If the lateral surface area is 120 cm2, find the volume (in cm3) of the prism.
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. .
Given that
The side of an equilateral triangular base of a prism = 4 cm
The lateral surface area of the prism = 120 cm2
Formula used
The lateral area of a prism LSA = Perimeter of base × height of prism
Volume of a prism = Area of Base × height of the prism
Calculation
120 = 3 × 4 × height
height = 120/12 = 10 cm
Hence, Volume of a prism = √3/4 × 42 × 10 = 40√3 cm3