5. A water tank has two inlets and one outlet. If the inlets fill the tank in 30 and
45 minutes, respectively and the outlet empties it in 30 minutes, how much time
will it take to fill the tank if all the inlets and outlets are opened together?
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Length = 24 m, breadth = 25 cm =0.25 m, height = 6m.
∴ Volume of cuboid = l x b x h
= (24 x 0.25 x 6) m3.
= 36 m3.
∴ Lateral surface area = 2(l + b) x h
= [2(24 +0.25) x 6] m2
= (2 x 24.25 x 6) m2
= 291 m2.
∴ Total surface area =2(lb+ bh + lh)
=2(24 x 0.25+0.25x 6 +24 x 6) m2
= 2(6+1.5+144) m2
= (2 x151.5) m2
=303 m2.
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