Exams › SSC CGL (Prelims) › General

A regular hexagonal nut has an outer side of 6 cm and a hollow inner hexagonal hole of side 3 cm. What is the approximate cross-sectional area of the material (the metal part)?

1. 60 cm^2
2. 70 cm^2
3. 56 cm^2
4. 66 cm^2

Correct answer: 70 cm^2

Solution

Material area = outer hexagon area - inner hexagon area = (3*sqrt(3)/2)(6^2 - 3^2) = (3*sqrt(3)/2)(27) = 40.5*sqrt(3) which is about 70.1 cm^2. So the closest value is 70 cm^2.

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