A iron tank 20m long, 10m wide and 8m deep is to be made from iron sheet 4m wide. If the tank is open from the top find the cost of the iron sheet at the rate of rupees 75 per metre
Given:
Length of the tank $=20\ m$.
Breadth of the tank $=10\ m$.
Depth(height) of the tank $=8\ m$.
To do:
We have to find the cost of sheet for it, if a sheet measuring \( 1 \mathrm{~m}^{2} \) costs Rs. 75.
Solution:
Area of the sheet required $=2lb+2bh+2lh−lb$ (It is open at the top)
$=lb+2lh+2bh$
$=(20\times10)+2(10\times8)+2(8\times20)$
$=(200+160+320)$
$=680\ m^2$
Cost of the sheet per square metre$= Rs.\ 75$.
Cost of sheet of $680\ m^2 = Rs.\ 75\times680$
$=Rs.\ 51000$.
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