Question

If the side of the cube is increased to three times its volume will become______ times.

Answer 1

Answer:9 time

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Step-by-step explanation:

Answer 2

If the side of a cube is increased to three times, its volume will become 9 times its original volume.

• Let each side of the cube be equal to x cm.

• Volume of a cube is given as :

Volume = (side)³

∴   Volume of a cube with side x cm = (x cm)³ = x³ cm³

• On increasing the side of the cube to three times, the new length of the side becomes 3x cm.

• New volume of the cube = (3x cm)³ = 27x³ cm³

• Now, dividing both the volumes, we get,

27x³ cm³ / 3 x³ cm³ = 9

  Therefore, the volume of the cube increases to 9 times on increasing the side of the cube to 3 times.