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Question on: JAMB Mathematics - 2012

U is inversely proportional to the cube of V and U = 81 when V = 2. Find U when V = 3
A
24
B
27
C
32
D
36
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Correct Option: A
U \(\alpha \frac{1}{V^3}\)

U = \(\frac{k}{V^3}\)

k = UV3

k = 81 x 23 = 81 x 8

When V = 3,

U = \(\frac{k}{V^3}\)

U = \(\frac{81 \times 8}{3^3}\)

U = \(\frac{81 \times 8}{27}\) = 24

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