SSC GD 2023 PYQ — Question 49

SSC GD Constable (English) - 30 Jan 2023 - Shift 4 • Quantitative Aptitude • Q49

What is the volume of a cube (in cm3), whose longest diagonal measures 11311\sqrt{3} cm?

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. 1331.

Formula used:

Diagonal of a cube = 3\sqrt{3} × side of a cube           ---- (1)

Volume of cube = side3

Calculations:

Using equation (1), we get

⇒ 113\sqrt{3} =  3\sqrt{3} × side

⇒ side = 11

Volune of cube = 113 = 1331