The length breadth and height of a rectangular box are in the ratio 3 : 2 : 4, respectively, and the cost of covering it with a s…

Question

The length breadth and height of a rectangular box are in the ratio 3 : 2 : 4, respectively, and the cost of covering it with a sheet of paper at the rate of Rs. 1.50 per square metre is Rs. 1,950. Find 50% of the volume of the box (in m3)

1. A. 1500 (Correct answer)
2. B. 1750
3. C. 1800
4. D. 1600

Correct Answer

Option A — 1500

Detailed Solution & Explanation

The correct answer is 1500.

Key Points

• Dimensions = 3k, 2k, 4k.
• TSA = 2(6k^2+8k^2+12k^2) = 52k^2. 52k^2 x 1.5 = 1950 => k^2 = 25 => k = 5. Volume = 15x10x20 = 3000 m3. 50% = 1500 m3.