Question

If the dimensions of a cube are doubled,
by how many times will its volume
increase?​

Answer 1

Answer:

Let the edge of a cube be s units.

Volume of the cube = s^3 unit^3

Volume of the cube when the edge is doubled = (2s)^3 unit^3 = 8s^3 unit^3

Thus, the volume of the cube will increase by 8 times to that of the previous cube.

Answer 2

Answer:

Let original side of cube = a

Volume = a³

When side is doubled

New side = 2a

New volume = (2a)³ = 8a

Ratio = 8a³/a³ = 8

The volume of cube increases by 8 times.

I hope this will be help you.