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i) The area of the sheet required for making the box.

ii) The cost of sheet for it, if a sheet measuring 1\({m}^2\) costs Rs.20.

Answer :

Given :

length (l) of box = 1.5m

Breadth (b) of box = 1.25 m

Depth (h) of box = 0.65 m

i) Box is to be open at top,

So, Area of sheet required

= 2lh + 2bh + lb

\( = [2 x 1.5 x 0.65 + 2 x 1.25 x 0.65 + 1.5 x 1.25] \)

= [1.95 + 1.625 + 1.875] \({m}^2\)

= 5.45 \({m}^2\)

Hence, the area of the sheet required for making the box is 5.45 \({m}^2\)

ii) Cost of sheet per 1 \({m}^2\) area = Rs.20

Therefore, Cost of sheet of 5.45 \({m}^2\) area

= Rs. (5.45 x 20)

= Rs. 109

Hence, The cost of sheet for it is Rs. 109

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