Question

The dimensions of a rectangular box are in the ratio of 2 : 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.

Answer 1

The dimensions of the rectangular box are in the ratio.

So let the dimensions be,

Length

Breadth

Height

We are asked to find the dimensions of the box

The total surface area of the box,

The cost of covering it at the rate of per

The cost of covering it at the rate of per

We know that, the difference between above two costs is.

So,

So the dimensions of the box are;

Hence the dimensions of the box are.