Question

If the volumes of two cubes are in the ratio 27 : 8,

then find the ratio of their edges.​

Answer 1

Given,

Ratio of the volume of two cubes = 27:8

To find,

The ratio of their edges.

Solution,

We can easily solve this mathematical problem by using the following mathematical process.

Let, the length of of the edges of those two cubes = x unit and y unit

(assume x and y as variables to do the further mathematical calculations.)

Volume of first cube = x³ unit³

Volume of second cube = y³ unit³

According to the data mentioned in the question,

x³:y³ = 27:8

(x/y)³ = (27/8)³

x/y = 3/2

x:y = 3:2

Hence, the ratio of their edges is 3:2