A plastic box $ 1.5 \mathrm{~m} $ long, $ 1.25 \mathrm{~m} $ wide and $ 65 \mathrm{~cm} $ deep is to he 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 $ 1 \mathrm{~m}^{2} $ costs Rs. 20.
Given:
The length of the box $=1.5\ m$.
The breadth of the box $=1.25\ m$.
The height of the box $=65\ cm=0.65\ m$.
To do:
We have to find:
(i) The area of the sheet required for making the box.
(ii) The cost of sheet for it, if a sheet measuring \( 1 \mathrm{~m}^{2} \) costs Rs. 20.
Solution:
(i) Area of the sheet required $=2lb+2bh+2lh−lb$ (It is open at the top)
$=lb+2lh+2bh$
$=(1.5\times1.25)+2(1.5\times0.65)+2(1.25\times0.65)$
$=(1.875+1.95+1.625)$
$=5.45\ m^2$
ii) Cost of the sheet per square metre$= Rs.\ 20$.
Cost of sheet of $5.45\ m^2 = Rs.\ 5.45\times20$
$=Rs.\ 109$.
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