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?

The length of each side of a cube is 24 cm. If the breadth and the height of the cuboid are 32 cm and 12 cm, respectively.

The volume of the cube is equal to the volume of a cuboid.

volume of cube = volume of cuboid

$$\left(length\ of\ each\ side\right)^3\ =\ length\times\ breadth\times\ height$$

$$\left(24\right)^3\ =\ length\times32\times12$$

$$\frac{24\times\ 24\times\ 24}{32\times12}\ =\ length$$

$$3\times12\ =\ length$$

length of the cuboid = 36 cm