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.  

Answer 1

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