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Q16. An open rectangular cistern when measured from outside is 1.35 m long, 1.08 m broad and 90cm deep. It is made up of iron, which is 2.5 cm thick. Find the capacity of the cistern and thevolume of the iron used.​

Answer»

\Large\red{\tt{\mathfrak{Question}}}

An OPEN rectangular cistern when measured from outside is 1.35 m LONG, 1.08 m broad and 90 cm deep. It is MADE up of iron, which is 2.5 cm thick. Find the capacity of the cistern and the volume of the iron used.

\large\red{\tt{\underline{Answer:-}}}

LENGTH = 1.35m = 135cm

Breadth = 1.08m = 108cm

Depth = 90cm.

Volume of Cistern:-

=> L × B × H

=> 135 x 108 x 90

=> 1,312,200 cm³

Internal Dimensions:-

¤ Length = 135 - 2.5 - 2.5 = 130 cm

¤ Breadth = 108 - 2.5 - 2.5 = 103 cm

¤ Height = 90 - 2.5 = 87.5 cm.

Internal Volume:-

=> Length × Breadth × Height

=> 130 x 103 x 87.5

=> 1,171,625 cm³

Volume of Iron Used:-

=> 1,312,200 - 1,171,625

=> 140, 575 cm³

Which is the required answer.

Hope this helps.. :)

Thanks.


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