Post-UTME Mathematics 2005 Objective — Question 13

Question 13 of 26 from the Post-UTME Screening (Post-UTME) Mathematics 2005 Objective paper, with the correct answer and a full explanation.

A container 60cm high has a volume V. Find the volume of a similar container 40cm high

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

Explanation

Since volume scales with the cube of linear dimensions: V2/V1=(40/60)^3=(2/3)^3=8/27. Without the original container's volume explicitly given, option A is presented as the standard textbook-style answer for this classic ratio problem.

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