Question

A and B are two similar solids. The volume of A is 400cm^2. Work out the volume of B.

Please help

Answer 1

`1350cm^(3)`

Explanation:

Firstly calculate the linear scale factor;

⇒
`LSF = (15)/(10) = (3)/(2)`

Now to to get the volume scale factor, cube the linear scale factor;

⇒
`VSF = LSF^(3) = ((3)/(2))^(3) = (27)/(8)`

Finally, multiply Volume A by the VSF to get volume B;

⇒
`V = (27)/(8)(400) = 1350cm^(3)`

Hope this helps! :D