Question

A plastic box 1.5 long, 1.25wide and 65cm deep is tobe
mode. It is opened at the top. Ignoring the tickness
of the plastic sheet, determine:
1 The area of the Sheet required for making the box
2The cost of sheet for it, if a sheet measuring I m²
cost Rs20​

Answer 1

Answer:

Dimension of plastic box = 1.5 m×1.25 m× 65cm

Area of sheet required to make the plastic box is equal to to the total surface area of the cuboid present as plastic box

TSA of cuboid 2(lh+bh+lb)

$2(1.5 \times0.65 + 1.25 \times 0.65 + 1.5 \times 1.25) \\ 2(0.975 + 0.8125 + 1.875) \\ 2 \times 3.6625 \\ 7.325 \: m \: {}^{2}$

So Area of box is 7.325 sq. m.

2. cost of 1 metre square sheet is rupees 20

so cost of 7.325 square metre sheet is equal to

$7.325 \times 20 \\ rs \: \: 146.5 \: \: \: answer..........$

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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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