Question

A field is 120 m long and 50 m broad. A tank 24 m long, 10 m broad and 6 m deep is dug any where in the field and the earth taken out of the tank is evenly spread over the remaining part of the field. Find the rise in level of the field in cm.

Answer 1

Let us take rise in level of the field =h cm
Vol. of the earth spread = vol. of the tank
Area of the remaining field times rise in level = vol. of the tank
(Area of field-area of tank)*rise in level of field= vol. of the tank
$(120\ast 50-24\ast 10)\ast h=24\ast 10\ast 6$
$(6000-240)\ast h=1440$
$\left(5760\right)\ast h=1440$
$=0.25m=25cm$
rise in level of the field= 25cm