Question

Find the lateral area of the solid figure.

Possible Answers:


a) 8√3


b) 12√3


c) 24√3

Answer 1

Option B. 12√3

Explanation:

Lateral area of the solid figure will be = 3×(one lateral side )

Area of a lateral side of the given triangle = (1/2) × (height) × (Base)

Height of an isosceles triangle with a side 4 will be = √(4² - 2²) = √(16-4)= √12 = 2√3

Now area of one lateral side = (1/2)×(2√3)×(4) = 4√3

Therefore lateral area of the solid figure = 3×(4√3) = 12√3