A plastic box $1.5 m$ long, $1.25 m$ wide and $65 c m$ deep is to be made. It is opened at the top. Ignoring the thickness of the plastic sheet, determine the cost of the sheet for it if a sheet measuring $1 m^{2}$ cost $R s . 20$ .

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Solution

From given data
Length of box $= 1.5 m$
breadth of box $= 1.25 m$
height of box $= 0.65 m$

The lateral surface area is given as
$2 h (l + b) = 2 (0.65) (1.25 + 1.5) = 1.3 (2.75) = 3.575 m^{2}$

Area of base
$= l b = 1.5 \times 1.25 = 1.875 m^{2}$

The total area of plastic sheet is $= 3.575 + 1.875 = 5.45 m^{2}$

Cost of $1 m^{2}$ is $= R s .20$
cost of $5.45 m^{2}$ is $= R s .20 \times 5.45 = 109 R s .$

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A plastic box $1.5 m$ long, $1.25 m$ wide and $65 c m$ deep is to be made. It is opened at the top. Ignoring the thickness of the plastic sheet, determine the cost of the sheet for it if a sheet measuring $1 m^{2}$ cost $R s . 20$ .