| A plot of land is \[250\,\,m\times 200\,\,m.\] A trench was dug around it outside. The width is 3 m and depth 5 m. The earth dug out was spread out uniformly over it. Find the rise in level of the land. |
A) 27.36 cm
B) 2.736 cm
C) 24.63 cm
D) 2.463 cm
Correct Answer: A
Solution :
| Outer length \[=250+6=256\,\,m\] |
| Outer breadth\[=200+6=206\,\,m\] |
| Area of trench \[=(256\times 206)-(250\times 200)\] |
| \[=52736-50000=2736\,\,{{m}^{2}}\] |
| Volume of the trench \[=2736\times 5=13680\,\,{{m}^{3}}\] |
| Rise in level \[=\frac{13680}{250\times 200}=0.2736\,\,m=27.36\,\,cm\] |
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