a plastic box 1.5m long ,1.25 m wide and 65 cm deep is to be made .If it is to be open ,ignoring the thikness of the plastic sheet,determine: 1) the area of sheet required for making the box , 2)the cost of sheet for it ,if sheet measuring 1msquare cost rs 20.
Answers
b=1.25m
h=65cm=0.65m
we will use formula:lateral surface area +area of base,i.e.2h(l+b)+lb
1)area of sheet required=2h(l+b)+lb
=2×0.65(1.5+1.25)+1.5×1.25
=5.45m^2
2)cost of sheet required for 1m^2=₹20
cost of sheet required for 5.45m^2=20×5.45
=₹109
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Question :-
A plastic box 1.5 m long, 1.25 m wide and 65 cm deep is to be made. It is opened at the top. Ignoring the thickness of the plastic sheet, determine
(i) The area of the sheet required for making the box.
(ii) The cost of sheet for it, if a sheet measuring 1m2 costs ₹20.
Answer :-
(i) Here, length (l) = 1.5 m, bread th(b) = 1 .25 m
and height (h) = 65 cm = 65/100 m = 0.65 m
∵ It is open from the top.
∴ Its surface area
= [Lateral surface area] + [Base area]
= [2(1 + b)h] + [lb]
= [2(1.50 + 1.25)0.65] m2 + [1.50 x 1.25] m2
= [2 x 2.75 x 0.65] m2 + [1.875] m2
= 3.575 m2+ 1.875 m2 = 5.45 m2
∴ Area of the sheet required for making the box = 5.45 m2
(ii) Cost of 1 m2 sheet = Rs. 20
Cost of 5.45 m2 sheet = Rs. (20 x 5.45)
= Rs. 109
Hence, cost of the required sheet = Rs. 109
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