SSC GD 2021 PYQ — Question 63

SSC GD Constable (English) - 18th November 2021 Shift 1 • Quantitative Aptitude • Q63

If the volume of cube = 192√3 cubic cm. then the length of its diagonal is:

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. 12 cm

Diagonal of the cube = a3\sqrt3

We have given volume of the cube = a3 = 1923\sqrt3 

a =  (1923\sqrt3 )1/3 = 43\sqrt3

Diagonal of the cube =  a3\sqrt3 =  43\sqrt3 × 3\sqrt3 = 12 cm