SSC CGL 2022 PYQ — Question 63

The correct answer is Option 1 i.e. ${18\sqrt3} m$

Given:

Length = 36 m, breadth = 18 m and Height = 9 m

Formula used:

Volume of cuboid = lbh               ---- (1)

Volume of cube = a³                   ----- (2)

Diagonal of cube = √3a              ---- (3)

Where l = length, b = breadth, h = height and a = side of cube

Calculations:

Equating equation (1) = equation (2), we get

⇒ 36 × 18 × 9 = a³

⇒ a = 18 m

Using equation (3)

Diagonal of cube = √3 × 18

⇒ 18√3 m