.a plastic box 1.5 m long, 1.25m wide and 65 cm deep is to be made. it is to be open at the top. ignorig the thickness of the sheet, determine the following (a)area of the sheet required to make the box (b)cost of the sheet for it , if a sheet measuring 7mx3.5m costs Rs.510.
Answers
Answer:
i) The area of the sheet required for making the box is 5.45 meter square.
ii) The cost of sheet is Rs. 113.447.
Step-by-step explanation:
Given : 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.
To find :
(i) The area of the sheet required for making the box.
(ii) The cost of sheet for it, if a sheet measuring 7m×3.5m costsर 510.
Solution :
i) The dimension of the box is
Length l= 1.5 m
Breadth b= 1.25 m
Height h= 65 cm = 0.65 m
Area of the sheet required is
The area of the sheet required for making the box is 5.45 meter square.
ii) The cost of sheet for it, if a sheet measuring 7m×3.5m costsर 510.
i.e, area of sheet 24.5 meter square cost Rs.510
So, 1 meter square cost
Now, The cost of 5.45 meter square cost
Therefore, The cost of sheet is Rs. 113.447.
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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