A plastic Box 2 m , long 1.5 m wide and 1.25 m deep, is to be made. it is to be open at the top . ignore the thickness determine:-
(I) the area of the sheet required to make the box.
(ii) the cost of sheet for it if the sheet measuring 1 m2 cost Rs 20.
Answers
Step-by-step explanation:
The area of the box = lateral surface area +area of base
Therefore area,
2h(l+b) + l×b
2×1.25(2+1.5) + 2×1.5
8.75 + 3
11.75m^2
Therefore cost,
area × cost per unit
11.75×20
Rupees 235
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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