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MATHEMATICS

JAMB 2012 - Question 15

Mathematics 2012 JAMB Past Questions - Question 15: U is inversely proportional to the cube of V and U =81 when V=2 .Find U when V =3

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 Answer

Explanation

If U is inversely proportional to the cube of V, we can express this relationship as U = k/V³, where k is the constant of proportionality.To find the value of k, we can use the given information that U = 81 when V = 2:81 = k/(2³)81 = k/8Multiplying both sides by 8:k = 648Now that we have the value of k, we can find U when V = 3:U = 648/(3³)U = 648/27U = 24Therefore, when V = 3, U is equal to 24.