Question
Download Solution PDFThe total percentage change in the volume of a cuboid if its length and breadth are decreased by 15% and 25%, respectively, while its height is increased by 60% is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The total percentage change in the volume of a cuboid if its length and breadth are decreased by 15% and 25%, respectively, while its height is increased by 60%.
Formula used:
Volume change percentage = (1 + ΔL) × (1 + ΔB) × (1 + ΔH) - 1
Where:
ΔL = percentage change in length
ΔB = percentage change in breadth
ΔH = percentage change in height
Calculation:
ΔL = -15% = -0.15
ΔB = -25% = -0.25
ΔH = 60% = 0.60
Volume change percentage = (1 - 0.15) × (1 - 0.25) × (1 + 0.60) - 1
⇒ Volume change percentage = 0.85 × 0.75 × 1.60 - 1
⇒ Volume change percentage = 1.02 - 1
⇒ Volume change percentage = 0.02
⇒ Volume change percentage = 2%
∴ The correct answer is option (3).
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