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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) Area of the sheet required for making box.
(ii) The cost of sheet for it, if a sheet measuring 1 m2 Rs. 20.

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Solution

According to the problem

l=1.5m

b=1.25m

h=65cm =0.65m

Hence, the area of the sheet required for making the box = Area of the base + Lateral surface area of the box

=lb+2(bh+hl)

=(1.25)(1.25)+2{(1.25)(0.65)+(0.65)(1.5)}

=1.875+2{0.8125+0.975}

=1.875+2(1.7875)

=1.875+3.575

=5.45m2

(ii) Hence the cost of sheet =5.45×20=Rs.109


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