JAMB 2012 · UTME · Q15

Variation

$U$ is inversely proportional to the cube of $V$ , and $U = 81$ when $V = 2$ . Find $U$ when $V = 3$ .

Worked solution (try it first)

$U = \dfrac{k}{V^3}$ , so $k = UV^3$ , which is $81 \times 8 = 648$ .
When $V = 3$ : $U = \dfrac{648}{27} = 24$ , option A.

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