A plastic box 1.5 m long, 1.25 m wide and 65 cm deep is to be made. It is to be open at
the top. Ignoring the thickness of the plastic sheet, determine:
(i) The area of the sheet required for making the box.
(ü) The cost of sheet for it, if a sheet measuring 1m² costs Rs 20.
night of a room are 5 m 4 m and 3 m respectively. Find th
Answers
Answer:
mohanmanjhi5
mohanmanjhi5
05.03.2018
Math
Secondary School
+5 pts
Answered
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 7m×3.5m costsर 510.
2
SEE ANSWERS
Log in to add comment
Answers
tardymanchester
tardymanchester Ace
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
A=2lb+2bh+2lh
A=2(1.5)(1.25)+2(1.25)(0.65)+2(1.5)(0.65)
A=1.95+1.625+1.875
A=5.45m^2
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 \frac{510}{24.5}=20.816
Now, The cost of 5.45 meter square cost
20.816\times 5.45=113.447
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
Plz mrk as brainliest ❤