Question

If each edge of a cube, of volume V, is doubled, then the volume of the new cube is

Options

• 2 V

• 4 V

•  6 V

• 8 V

Answer 1

Let,  a → Initial edge of the cube

So,  V = a³

In the new cube, let,

 a' → Edge of new cube

Volume of the new cube,

V' = (a')³

    = (2a)³                  {Since , a'= 2a}

   = 8a³                 

   ^=8V                             {Since , a³= V } 

Volume of the new cube is 8V .