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
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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
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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