Question

if the sides of two cubes are in the ratio 4:1 the ratio of their volumes is

Answer 1

Hey!

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Ratio of the sides = 4/1
We know,

Volume of cube = side^3

Thus,

Ratio of volumes = (side 1) ^3 / (side 2) ^3
= 4^3 / 1^3
= 64 / 1

Thus, ratio of the volumes = 64:1

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Hope it helps...!!!

Answer 2

Hi there !!
Here's your answer

Given that ,
The ratio if two cubes = 4 : 1
Let the common factor be x
So,
The ratio of two cubes will be 4x/x

Volume of 1st cube = (4x)³ = 64x³
Volume of 2nd cube = x³

Ratio = 64x³/x³ = 64/1

Thus,
the ratio is 64 : 1