| A low land, 48 m long and 31.5 m broad is raised to 6.5 decametre. For this, Earth is removed from a cuboidal hole, 27 m long and 18.2 m broad, dug by the side of the land. The depth of the hole will be |
A) 3 m
B) 2.2 m
C) 2.5 m
D) 2 m
Correct Answer: D
Solution :
| Let the depth of hole be h m. |
| According to the question, |
| Volume of soil needed = Volume of the hole |
| \[48\times 31.5\times \frac{6.5}{10}=27\times 18.2\times h\] |
| \[\Rightarrow \] \[h=\frac{48\times 31.5\times 6.5}{27\times 18.2\times 10}=2\,m\] |
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