10. A wooden box, 3.25 m long, 2.5 m wide and 45 cm deep, open at the top, is to be made Determine the cost involved if the price of wood is? 20 per square metre.
Answers
To Find:- Cost the wood
Solution:-
From the data
We can understand the figure is a cuboid
and we know
T.S.A of a cuboid= 2(lb+bh+hl)
Here
l=3.25m,b=2.5m,h=45cm=0.45m
And now, substitute the values
But given the top of the box is open,so nothing should be there,the top of the box is
length and breadth,also no height is in topper surface
Therefore we've to subtract lb from the answer
Therefore the formula for your question is
T.S.A= 2(lb+bh+hl)-lb
T.S.A=2(3.25×2.5+2.5×0.45+0.45×3.25)-3.25×2.5
T.S.A=2(8.125+1.125+1.4625)-8.125
T.S.A=2×10.7125-8.125= 21.425-8.125
T.S.A= 13.3m²
Therefore the Total Surface Area is 13.3m²
and We've to find cost
Rs 20 for per m²
then for 13.3m²
it is 20×13.3
=Rs 266
hope it helps
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