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?
Answer & explanation
Correct answer: option 2
We know that,
Area of a cuboid = length × breadth × height
We have,
Ratio of the length = 4 : 5
Ratio of the breadth = 3 : 4
Ratio of the volume = 2 : 3
Now according to the question,
\(\frac{4 × 3 × h}{5 × 4 × H}\) = \(\frac{2}{3}\)
\(\frac{12 × h}{20 × H}\) = \(\frac{2}{3}\)
\(\frac{ h}{ H}\) = \(\frac{10}{9}\)