Question

If n is directly proportional to the cube of m and n = 27 when m= 1
(i) the value of n when m = 2,
(ii) the value of m when n = 125.

Answer 1

Answer:

Its given that n and m

therefore, n = km, where k is constant of variation

when n = 1 and m = 1

thus, 27 = k × 1

sum, k = 27/1 = 1

so, the equation of variation is n = 1

when, m = 2,

n = 1 × 2 = 2

And, the value of n is = 2.