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?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 36 cm.
Volume of cube = (side)3
Volume of cuboid = l × b × h
Side of cube = 24 cm
Breadth of cuboid = 32 cm
Height of cuboid = 12 cm
According to the question,
The volume of the cube = Volume of the cuboid
⇒ (side)3 = l × b × h
⇒ (24)3 = l × 32 × 12
⇒ l = (24 × 24 × 24)/(32 × 12)
l = 36
Hence the length of the cuboid = 36 cm.