Question

plastic box 1.5 m long
p. Ignoring the thick,
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:
the area of the sheet required for making the box and the cost of it if a sheet measuring lm2 costs Rs 20​

Answer 1

Answer:

Step-by-step explanation:  (i) Converting the values

l = 1.5m (1m = 100cm ∴100×1.5 = 150cm)

b=1.25m (1m = 100cm ∴100×1.25=125cm)

h= 65cm

Formula of total surface area = 2(lb+bh+lh)

∴2(18750+8125+9750)

2(36625)

=73250cm

Surface area of top = lxb

= 150x125=18750

∴Surface area of box without top =73250-18750=54500cm²

Converting back to meters = 54500 ÷ 100 = 545m²

Therefore Sheet required = 545m²

Cost = 545x20 =10900rs

Answer 2

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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