Question

3.
It is given that y is directly proportional to x".
Write down the value of n when
(i) y m’ is the area of a square of length x m,
(ii) y cm' is the volume of a cube of length x cm.​

Answer 1

Let

L = k / √m ________(1)

here k is proportional constant.

since , L = 6 when m = 4 then from (1)

6 = k /√4

6 = k /2

k = 12

put value of ' k ' in eq.(1) , now the equation is :-

L = 12 / √m _______eq(2)

put value of L = 4 here in equation (2),we get

4 = 12 / √m

√m = 12 /4

√m = 3

m = (3)^2

m = 9

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Your Answer : m = 9

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