A plastic box 2.5 m long, 1.25 m wide and 75 cm deep is to be
made. It is to be opened at the top. Ignoring the thickness of
the plastic sheets, determine:
(i) the area of the sheet required for making the box.
(ii) the cost of sheet for it, if a sheet measuring 1 m² costs
Rs. 30.
Answers
Answer:
area of sheet=2×2•5×1•25+2×2•5ו75+2×1•25ו75=11•875m²
Step-by-step explanation:
cost of sheet=11•875×30=₹356•25
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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