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

Missing Part of the Question

If n is directly proportional to the cube of m and n = 27 when m =  4

i.

ii.

Explanation:

Given

Direct proportion between n and cube of m

This is represented as:

Convert proportion to equation

Where k is the constant of variation;

Substitute 27 for n and 4 for m

Divide both sides by 64

Solving for n when m = 2.

Recall that

Substitute for k and  2 for m

Solving for the value of m  when n = 125

Recall that

Substitute 125 for n and for k

Multiply both sides by 64

Divide both sides by 27

Take Cube root of both sides

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