SSC GD 2023 PYQ — Question 57

SSC GD Constable (English) - 17 Jan 2023 - Shift 4 • Quantitative Aptitude • Q57

An equilateral triangle of side 6 cm has its corners cut-off to form a regular hexagon. What is the area of this regular hexagon?

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e  63cm2\sqrt[]{3cm2}

Given that

An  equilateral triangle of side 6 cm

now it cutoff from its corner to form a regular hexagon

then the cutoff side will be 2 cm to form a regular hexagon

Formula used 

The area of the regular hexagon = 6 (√3/4) side2

Calculation

The area of the regular hexagon = 6 × (√3/4) × 22 = 6√3 cm2