Question

e of the
6.
The ratio between the volumes of two cubes is 1 : 64. Find the ratio between the sides of the
two cubes.
lateral
​

Answer 1

Answer:

1: 4

Step-by-step explanation:

Given

The ratio of the volumes of two cubes = 1: 64

Let the sides of the two cubes be 'a' and 'b' respectively

To find:-  a: b

The volume of the first cube = a³ cu.units

The volume of the second cube = b³ cu.units

⇒The volume of the first cube: volume of the second cube = 1: 64

⇒a³: b³ = 1: 64

⇒(a: b)³ = (1: 4)³

∴a: b = 1: 4

∴The ratio of the length of the sides = 1: 4