Correct Answer - Option 4 : 2.8%
Given:
Length – decreased by 10%
Breadth – decreased by 10%
Height – increased by 20%
Formula used:
Volume of cuboid = length × breadth × height
Percentage Less than = (Difference/High Value) × 100%
Calculations:
Volume of cuboid = length × breadth × height
Consider initial length = 100, breadth = 100 and height = 100
Initial Volume = 100 × 100 × 100
= 1000000
New Volume = 90 × 90 × 120 = 972000
New volume is decreases comparing with initial volume
Percentage decrease in volume = [(1000000 – 972000)/1000000] × 100% = 2.8%.
∴ Percentage decrease in volume = 2.8%.