The length of each side of a cube is 24 cm. The volume of the cube is equal to the volume of a cuboid. If the breadth and the height of the cuboid are 32 cm and 12 cm, respectively, then what will be the length of the cuboid?

36 cm

We know that,

Volume of cube = Side³

Volume of cuboid = lbh

We have,

The length of each side of a cube = 24 cm.

The breadth = 32 cm

Height of the cuboid = 12 cm

The volume of the cube = Volume of a cuboid.

=24³ = l × 32 × 12

= l = 3 × 12 = 36