A plastic box 1.5m long,1.25 m wide and 65cm deep is to be made .it is opened at the top .ignoring the thickness of the plastic sheet,determ

Question

A plastic box 1.5m long,1.25 m wide and 65cm 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 masuring 1m² costs rupees 20​

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4 weeks 2021-08-14T03:11:44+00:00 2 Answers 0 views 0

1. 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.

(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 ❤

for 1m²=20$1.875m²=x$