Given length, breadth, and height of a cuboid are 15 cm, 37.5 cm, and 48 cm. Find the cube edge whose given volume is equal to the volume of this cuboid. Also, calculate the length of the diagonal to the nearest natural number.

The correct answer is: 30 cm, 52 cm

We are given the dimensions of the cuboid
Length = l = 15cm
Breadth = b =37.5cm
Height = h = 48cm
Volume of a cuboid = l × b × h =

                                = 15 × 37.5 × 48

                                = 27000 cm³
As from the given condition ,
Volume of cube = volume of cuboid

a³ = 27000

a = 

a = 30
Therefore the length of diagonal = a

=  30

= (1.734 )30

= 51.9

= 52
Therefore, the correct answer is d) 30cm , 52cm