Question

If the side of a cube is increased by three times, then the ratio of volume of new cube to original cube is

Answer 1

Hey Ishasaragadam !

Answer:

27 : 1

Step-by-step explanation:

Given :

Side of a cube is increased by three times.

To Find :

Ratio of volume of new cube to original cube.

Formula :

Volume of a Cube = s³ units³

• Where s is the side of the Cube.

Procedure :

Let the side of the cube be 'a'.

Initial Volume = a³ cm³

Final Volume = (3a)³

⇒ Final Volume = (27 × a³) cm³

Hence Ratio of the volume of new Cube to old Cube.

⇒ Volume of New Cube : Volume of Old Cube

⇒ 27a³ cm³ : a³ cm³

⇒ 27a³ : a³

⇒ 27 : 1

Thanks !