Question

A plastic box 1.5 m long, I .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 lm2 costs Rs 20.

Answer 1

Answer:

1) 5.45 $m^{2}$

2)41.075 Rs

Step-by-step explanation:

Given,

length= 1.5 m

breath=1.25 m

depth =0.65 m

since the box is open at the top, hence, area of the sheet required for making box= $length\times breadth+ 2\times length\times height+ 2\times breadth\times height\\=1.5\times1.25+ 2\times 1.5\times0.65+ 2\times 1.25\times 0.65\\=1.875+1.95+1.625\\=5.45$

cost of 1 metre square of sheet= Rs 20

hence total cost=Rs 20$\times5.45$

=41.075 Rs

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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