The lengths, the breadths, and the volumes of two cuboids are in the ratios of 4 : 5, 3 : 4, and 2 : 3, respectively. What is the ratio of their heights?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 10 : 9
The lengths, the breadths, and the volumes of two cuboids are in the ratios of 4 : 5 ,3 : 4, and 2 : 3, respectively.
Let's assume the lengths of cuboids are 4x and 5x respectively
Let's assume the breadths of cuboids are 3y and 4y respectively.
Let's assume the volumes of cuboids are 2z and 3Z respectively.
Let's assume the heights of cuboids are h1 and h2 respectively.
volume of first cuboid/volume of second cuboid = length × breadth × height/length × breadth × height
(2z)/(3z) = (4x × 3y × h1)/(5x × 4y × h2)
2/3 = (3h1)/(5h2)
10/9 = h1/h2
The ratio of their heights = 10 : 9