A plastic box 1.5 m long, 1.25 m wide and 65 cm deep, i

Question. A plastic box 1.5 m long, 1.25 m wide and 65 cm deep, is to be made. It is to be open 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 m2 costs Rs 20.


Solution:

A plastic box 1.5 m long, 1.25 m wide and 65 cm deep, is to be made.

It is given that, length (l) of box = 1.5 m

Breadth (b) of box = 1.25 m

Depth (h) of box = 0.65 m

(i) Box is to be open at top.

Area of sheet required

$=2 h+2 b h+l b$

$=[2 \times 1.5 \times 0.65+2 \times 1.25 \times 0.65+1.5 \times 1.25] \mathrm{m}^{2}$

$=(1.95+1.625+1.875) \mathrm{m}^{2}=5.45 \mathrm{~m}^{2}$

(ii) Cost of sheet per m2 area = Rs 20

Cost of sheet of $5.45 \mathrm{~m}^{2}$ area $=$ Rs $(5.45 \times 20)$

$=\operatorname{Rs} 109$

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