Q. 19

The dimensions of a rectangular box are in the ratio of 2 : 3 : 4 and the difference between the cost of covering it with sheet of paper at the rates of Rs. 8 and Rs. 9.50 per m2 is Rs. 1248. Find the dimensions of the box.

Given,

Ratio of dimensions of rectangular box = 2:3:4

Let length of box = 2x m

Let height = 4x m

Area of sheet of paper required for covering it = total surface area of cuboid

=

Cost of covering it with sheet of paper at Rs.9.50 /m2=

Cost of covering it with sheet of paper at rate Rs.8/m2 =

=

=

=

=

So,

Length of box = 2x = 2×4 = 8 m

Breadth of box = 3x = 3×4 = 12 m

Height of box = 4x = 4×4 = 16 m

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Quiz | Practice More Questions on Cube and Cube Roots27 mins
Quiz | Cubes and Cube Roots41 mins
Champ Quiz | Cube and Cube Roots46 mins
Champ Quiz | Cubes and Cube Roots33 mins
NCERT | Imp. Qs. on Cubes and Cube Roots47 mins
Quiz | Cubes and Cube Roots41 mins
Quiz | Solve Imp. Qs. of Cube and Cube Roots39 mins
The History and Chemistry Behind a Matchstick!37 mins
Lets Make a Timetable and Crack Olympiad40 mins
Champ Quiz | Square Roots and Cube roots40 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses