What must be the total percentage change in the volume of a cuboid if its length and
breadth is decreased by 10% and 20%, respectively, while its height is increased by
40%?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is Option 1 i.e. 0.8% increase.
Let the original length, breadth, and height be l, b, and h
Original volume = l × b × h
New dimension:
Length = 0.9l
Breadth = 0.8b
height = 1.4h
New volume = 0.9l × 0.8b × 1.4h = 1.008 lbh
Percentage change = () × 100 = 0.8% decrease