The length breadth and height of a cuboid are increased by 10 20 and 50 respectively What is the per...........

Quantitative Aptitude (CDS) Percentage

The length, breadth and height of a cuboid are increased by 10%, 20% and 50 % respectively.

What is the percentage increase in volume of the cuboid?

This questions was previously asked in

2024 CDS -1 MATH

100%

99%

98%

50%

To determine the percentage increase in volume when the dimensions of a cuboid are increased:

- Original Volume Formula: Volume = Length × Breadth × Height.

- Increased Dimensions:

- Length increased by 10%: New Length = 1.1 × Original Length.

- Breadth increased by 20%: New Breadth = 1.2 × Original Breadth.

- Height increased by 50%: New Height = 1.5 × Original Height.

- New Volume Calculation:

- New Volume = 1.1 × Length × 1.2 × Breadth × 1.5 × Height.

- This equals 1.98 × Original Volume, indicating a 98% increase.

- Options Evaluation:

- Option 1: 100% - Incorrect.

- Option 2: 99% - Incorrect.

- Option 3: 98% - Correct.

- Option 4: 50% - Incorrect.

Correct Answer: Option 3 - 98%

Submit Error