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If 1 pint is needed to paint a statue 6 m high, then the number of pints it will take to paint (to the same thickness) 540 statues similar to the original but only 1 m high is:

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answer is D.

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Detailed Solution

Concept: Use the unitary method in this problem. We will start by finding the amount of paint(in pints) required to paint one metre of the bigger statue. Then we will find the total height of the 540 statues.
The number of pints

of paint needed is proportional to the surface area (hence, to the square of the height

) of a statue and also to the number (n) of statues to be painted. Thus,

. Substituting

and

into this equation, we obtain the constant of proportionality

, so that

Now, when

,
Then

.
Hence, the correct answer is option (4).

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