The length, breadth, and height of a rectangular box are in the ratio of 3 : 2 : 4 respectively, and the cost of covering it with a sheet of paper at the rate of ₹1.50 per square metre is ₹1,950. Find the volume of the box.
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. 3000 m³.
Surface area(SA) = = 1300 m2
SA = 2(lb + bh + hl)
here, l = length,b= breadth, and h = height
⇒ 1300 = 2(3x × 2x + 2x × 4x + 4x × 3x)
⇒ 1300 = 2(6x2 + 8x2 + 12x2)
⇒ 1300 = 52x2
⇒ x2 = 25
⇒ x = 5
Volume = 3x × 2x × 4x = 24x3 = 24 × 125 = 3000 m3