15. A pit 5 m long and 3.5 m wide is dug to a certain depth. If the volume of earth taken out of it
is 14 m, what is the depth of the pit?
Share
15. A pit 5 m long and 3.5 m wide is dug to a certain depth. If the volume of earth taken out of it
is 14 m, what is the depth of the pit?
Sign Up to our social questions and Answers Engine to ask questions, answer people’s questions, and connect with other people.
Login to our social questions & Answers Engine to ask questions answer people’s questions & connect with other people.
Given :-
To find :-
Solution :-
Let the depth of pit be h m
volume of earth when it is dug out = l × b × h
volume of earth when it is dug out = 5 × 3.5 × h
volume of earth when it is dug out = 17.5 h m³
Now,
Volume of earth = 14 m³ ( given)
According to the question,
⤇ 17.5 h = 14
⤇ h =
⤇ h =
⤇ h =
⤇ h =
⤇ h = 0.8 m
Hence,the depth of the pit will be 0.8 m.
More Information :-
Verified answer
Step-by-step explanation:
Length = 5m
Width = 3.5m
Volume = 14m^3
Height (depth) = ?
Volume of cuboidal pit = l × b × h
14 = 5 × 3.5 × h
h = 14 / 5 × 3.5
h = 0.8 m
Required height is, h = 0.8 m