Question

I have ten boxes of dimensions 2m x 3m x 5m. I want to wrap these boxes with a cloth having 2m breadth. What will be the length of cloth to cover all these boxes​

Answer 1

Answer:

(i) Here, l = 1.5 m, b = 1.25 m

                 

                 ∵ It is open from the top.

                 ∵ Its surface area = [Lateral surface area] + [Base area]

                 = [2(l + b)h] + [l × b]

                 = [2(1.50 + 1.25)0.65 m2] + [1.50 × 1.25 m2]

                 = [2 × 2.75 × 0.65 m2] + [1.875 m2]

                 = 3.575 m2 + 1.875 m2 = 5.45 m2

                 ∵ The total surface area of the box = 5.45 m2

                 ∴ Area of the sheet required for making the box = 5.45 m2

           (ii) Rate of sheet = Rs. 20 per m2

                 Cost of 5.45 m2 = Rs. 20 × 5.45

                 

                 ⇒ Cost of the required sheet = Rs.109