An open rectangular cistern when measured from outside is 1.35m long, 1.08m broad and 90cm deep.It is made up of iron which is 2.5cm thick. Find the capacity of the cistern and the volume of the iron used.
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Answer:
External Length= 1.35m =135cm.
External Breadth= 1.08m= 108cm.
External Height = 90cm.
External volume = L x B x H.
= 135 * 108 * 90
= 1312200 cubic cm
Internal length = 135 - 2*2.5 = 135 - 5 =130 cm
Internal Breadth = 108 - 2*2.5 = 108 - 5 = 103 cm
Internal height = 90 - 2.5 = 87.5 cm
Capacity of the cistern = 130 * 103 * 87.5
= 1171625 cubic cm .
1171625/1000 =1171.625 litres.
Volume of iron used = external volume - internal volume.
= 1312200 - 1171625,
= 140575 cu. Cm.
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