Question

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

Answer 1

Answer:

The ratio of volumes is of 27.

Step-by-step 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:

$\frac{V_m}{V} = \frac{27lwh}{lwh} = 27$

The ratio of volumes is of 27.