The length breadth and height of a cuboid are in the ratio 4: 3: 2. If the length is increased 50% and the height is decreased by 40%, then the ratio of the new volume to the old volume of the box will be:
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 9 : 10
let length, breadth, and height be 4x, 3x, and 2x
Volume = L × B × H
= 4x × 3x × 2x
= 24x units cube
New dimensions
Length = 4x + 50% of 4x
= 6x
Breadth = 3x
Height = 2x - 40% of 2x = 2x - 4x/5
= 6x/5
New Volume = 6x × 3x × 6x/5
= 108x/5 units cube
Ratio =
= 9/10
= 9 : 10