Question: 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
Options:
A) 3 m
B) 2.2 m
C) 2.5 m
D) 2 m
Show Answer
Answer:
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 $