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A Rectangular Field is 112 M Long and 62 M Broad. a Cubical Tank of Edge 6 M is Dug at Each of the Four Corners of the Field and the Earth So Removed is Evenly Spread on the Remaining Field - Mathematics

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Question

A rectangular field is 112 m long and 62 m broad. A cubical tank of edge 6 m is dug at each of the four corners of the field and the earth so removed is evenly spread on the remaining field. Find the rise in level.  

Sum
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Solution

Vol. of the tank= vol. of earth spread

4 x 63 m3 = ( 112 x 62 - 4 x 62 ) m2 x Rise in level 

Rise in level = `( 4 xx 6^3)/ ( 112 xx 62 - 4 xx 6^2)`

                   = `( 864) / ( 6800)`

                   = 0.127 m
                   = 12.7 cm

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Cross Section of Solid Shapes
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Chapter 21: Solids [Surface Area and Volume of 3-D Solids] - Exercise 21 (C) [Page 274]

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Selina Concise Mathematics [English] Class 9 ICSE
Chapter 21 Solids [Surface Area and Volume of 3-D Solids]
Exercise 21 (C) | Q 5 | Page 274

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