# Q : 1       A plastic box $\small 1.5\hspace {1mm}m$ long,$\small 1.25\hspace {1mm}m$ wide and $\small 65\hspace {1mm}cm$ 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.

Given, dimensions of the plastic box

Length, $l = 1.5\ m$

Width, $b = 1.25\ m$

Depth, $h = 65\ cm = 0.65\ m$

(i) The area of the sheet required for making the box (open at the top)= Lateral surface area of the box. + Area of the base.

= $2(bh+hl)+lb$

$\\ = 2(1.25\times0.65+0.65\times1.5)+1.5\times1.25 \\ = 2(0.8125+ 0.975)+1.875= 5.45$

The required area of the sheet required for making the box is $5.45\ m^2$

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