Civil Engineering - GATE Exam Questions - Discussion

Discussion Forum : GATE Exam Questions - Section 6 (Q.No. 31)
31.
A borrow pit soil has a dry density of 17 kN/m3. How many cubic meters of this soil will be required to construct an embankment of 100 m3 volume with a dry density of 16 kN/m3.
94 m3
106 m3
100 m3
90 m3
Answer: Option
Explanation:
No answer description is available. Let's discuss.
Discussion:
7 comments Page 1 of 1.

Vaish said:   7 years ago
It should be 106.25 m3.
(1)

Mohan said:   10 years ago
How to solve this question? Kindly give explanation.

Navneet said:   10 years ago
(16*100)/17 = 94.12.

Fazil said:   7 years ago
Thank you so much @Navneet.

Manish said:   7 years ago
How?

Could you please give the full solution clearly?

Sweetie said:   5 years ago
V1/V2 = yd2/yd1.
V1/100 = 16/17.
V1 = 94.11m^3.

Heramb said:   5 years ago
@All.

Please listen, Here, I solved in detail.

A] Dry density is given;

I) Borrow pit dry density =17Kn/m3
II) Embankment dry density =16Kn/m3

B] To find out weight of soil
I) Borrow pit
W=Dry density X volume
W= 17 X 1
W= 17KN/m3 ..[Takevolume=1.standardcase]

II) Embankment
W=Dry density X volume.
W= 16 X 1.
W=16KN/m3..[Take Volume=1.standard case]

C]. To find out the volume for 1 m3.

VOLUME OF borrow pit= Weight of soil of Embankment /Dry density of borrow pit
VOLUME OF borrow pit= 16/17
=0.94012 m3.

Therefore,
1 m3 of Embankment =0.94012 m3 of Borrow Pit.
100 m3 of Embankment =[ x] m3 of Borrow Pit.
x *1 = 100 * 0.94012,
x =94.012%.

Therefore, volume is 94.012% of Borrow Pit.

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