# A plastic box $1.5 \mathrm{~m}$ long. $1.25 \mathrm{~m}$ wide and $65 \mathrm{~cm}$ 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 $1 \mathrm{~m}^{2}$ costs $\mathrm{Rs.} 20$.

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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 $5.45\ m^2 = Rs.\ 5.45\times20$

$=Rs.\ 109$.

Updated on 10-Oct-2022 13:42:09