A plastic box 1.5m long, 1.25m wide and 65cm deep is to be made. It is to be opent the top. Ignoring the thickness of the plastic sheet determine:- 1) The area of the sheet required making the box. 2) The cost of sheet for it, if a sheet measuring 1m2 cost Rs 2.
Answers
★ Given:
A plastic box of dimensions 1.5m x 1.25m x 65cm that is open at the top.
★ To Find:
The area of the sheet required making the box.
The cost of sheet for it, if a sheet measuring 1m² cost Rs 20.
★ Solution:
First of all, we can take 65 cm as 0.65 m.
Part 1)
The area of the sheet required making the box = 2 (lh + bh) + lb
[It is because the box is open at the top]
Length = 1.5 m
Breadth = 1.25 m
Height = 0.65 m
→ Substituting the values in the formula:
= 2 [(1.5 x 0.65) + (1.25 x 0.65)] + (1.5 x 1.25)
= 2 [0.975 + 0.8125] + 1.875
= [2 x 1.7875] + 1.875
= 3.575 + 1.875
= 5.45 m²
The area of the sheet required is 5.45 m².
Part 2)
Cost of 1 m² sheet = Rs 20.
So, cost of 5.45 m² sheet = 5.45 x 20
= Rs. 109
Hence the total cost of sheet is Rs. 109.
★ Final Answers:
The area of sheet required is 5.45 m².
Total cost of sheet is Rs 109.