| The length and breadth of a rectangular field are 6 m and 3 m, respectively. A pit was dug in the corner of the field and the Earth dug out was spread uniformly on the remaining place. Find the rise in level of the field, if the pit is of the length 2 m, breadth 1.5 m and depth 1 m. |
A) 30 cm
B) 18 cm
C) 20 cm
D) 45 cm
Correct Answer: C
Solution :
| Volume of Earth dug out \[=2\times 1.5\times 1=3\,\,{{m}^{3}}\] |
| Area of the remaining field\[=(6\times 3)-(2\times 1.5)\] |
| \[=18-3=15\,\,m\] |
| Let the level of the field raised be h m. |
| Then, \[15\times h=3\] |
| \[\Rightarrow \] \[h=\frac{3}{15}\,\,m=\frac{1}{5}m=\frac{100}{5}\,\,cm=20\,\,cm\] |
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