Question

Find the ratio of volumes of two cuboids whose sides are in the ratio 3/1

Answer 1

The ratio of volumes is of 27.

Explanation:

Volume of a cuboid:

A cuboid has dimensions length l, width w and height h. The volume is given by:

`V = lwh`

Multiplying dimensions by 3:

This means that l = 3l, w = 3w, h = 3h. So

`V_m = 3l(3w)(3h) = 3*3*3*lwh = 27lwh`

Ratio of volumes:

`(V_m)/(V) = (27lwh)/(lwh) = 27`

The ratio of volumes is of 27.