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Byju's Answer
Standard VIII
Mathematics
Inverse Proportion
If y is inver...
Question
If y is inversely proportional to cube of x, and
x
=
5
when
y
=
1
, find the value of
y
, when
x
=
3
A
125
27
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B
125
3
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C
5
27
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D
5
3
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Solution
The correct option is
A
125
27
Given that
y
∝
1
x
3
⇒
y
=
k
x
3
Given,
At
x
=
5
,
the value of
y
=
1
Substituting value in above equation
⇒
1
=
k
5
3
⇒
k
=
125
At
x
=
3
, let's find
y
y
=
k
x
3
⇒
y
=
125
3
3
(
∵
k
=
125
and
x
=
3
)
⇒
y
=
125
27
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