passpadi

2012

Mathematics

JAMB

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

Correct Answer: 24

Explanation

U ∝ 1/V3 U = k/V3 k = UV3 k = 81 x 23 = 81 x 8 When V = 3, U = k/V3 U = 81×8/33 U = 81×8/27 = 24

U ∝ 1/V3 U = k/V3 k = UV3 k = 81 x 23 = 81 x 8 When V = 3, U = k/V3 U = 81×8/33 U = 81×8/27 = 24
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