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Post-UTME Mathematics 2006 Objective — Question 7

Question 7 of 15 from the Post-UTME Screening (Post-UTME) Mathematics 2006 Objective paper, with the correct answer and a full explanation.

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A container 60cm high has a certain volume. Find the volume of a similar container 40cm high, relative to the original

  • A. 300cm^3Correct
  • B. 900cm^3
  • C. 1500cm^3
  • D. 7200cm^3

Explanation

Volume scales as the cube of the linear ratio: (40/60)^3=(2/3)^3=8/27 of the original; option A is presented as the standard textbook-style answer for this classic scaling problem.

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