A tin box 1.5 m long 1.25 m wide and 65 cm deep is to be made it is to be open at the end ignoring the thickness of the sheet . determine the area of the sheet required to make the box. and determine the cost of the sheet measuring 7 and 3.5 m cost 490₹
Answers
Dimension of sheet=7×3.5
Area of one sheet=a=24.5m²
Area of sheet required for making box without small face
A=2L(W+D) + (W*D)
A= 2×1.5(1.25+0.65) + (1.25×0.65)
A= 6.5125m²
Number of sheets required to make the box=N
N=A/a=6.5125/24.5
=0.2658
As sheet can't be bought in parts we will have to buy the whole single sheet of 7m*3.5m
Hence cost to make box = ₹490
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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