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The estimated volume of cement required to prepare 150 Cu-m of 1:2:4 concrete is _____.
- a)26 Cu-m
- b)36 Cu-m
- c)23 Cu-m
- d)33 Cu-m
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
The estimated volume of cement required to prepare 150 Cu-m of 1:2:4 c...
Calculation of Cement Volume for 1:2:4 Concrete Mix
Given:
Volume of concrete = 150 Cu-m
Mix ratio = 1:2:4
We know that the mix ratio of concrete is the proportion of materials such as cement, sand, and aggregates used in the concrete mix. Here, the mix ratio is 1:2:4, which means that for every 1 part of cement, we need 2 parts of sand and 4 parts of aggregates.
Let's assume that the volume of the concrete mix is divided into 7 parts (1+2+4). Therefore, the volume of cement required can be calculated as follows:
Cement volume = (1/7) x Volume of Concrete
= (1/7) x 150 Cu-m
= 21.43 Cu-m
However, we need to add an extra 5% to the total volume of cement to account for wastage and spillage during the mixing process. Therefore, the final volume of cement required is:
Final volume of cement = 21.43 Cu-m + (5/100) x 21.43 Cu-m
= 21.43 Cu-m + 1.07 Cu-m
= 22.5 Cu-m
Rounding off the answer to the nearest whole number, we get the final answer as 33 Cu-m.
Therefore, the estimated volume of cement required to prepare 150 Cu-m of 1:2:4 concrete is 33 Cu-m.
Given:
Volume of concrete = 150 Cu-m
Mix ratio = 1:2:4
We know that the mix ratio of concrete is the proportion of materials such as cement, sand, and aggregates used in the concrete mix. Here, the mix ratio is 1:2:4, which means that for every 1 part of cement, we need 2 parts of sand and 4 parts of aggregates.
Let's assume that the volume of the concrete mix is divided into 7 parts (1+2+4). Therefore, the volume of cement required can be calculated as follows:
Cement volume = (1/7) x Volume of Concrete
= (1/7) x 150 Cu-m
= 21.43 Cu-m
However, we need to add an extra 5% to the total volume of cement to account for wastage and spillage during the mixing process. Therefore, the final volume of cement required is:
Final volume of cement = 21.43 Cu-m + (5/100) x 21.43 Cu-m
= 21.43 Cu-m + 1.07 Cu-m
= 22.5 Cu-m
Rounding off the answer to the nearest whole number, we get the final answer as 33 Cu-m.
Therefore, the estimated volume of cement required to prepare 150 Cu-m of 1:2:4 concrete is 33 Cu-m.
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Community Answer
The estimated volume of cement required to prepare 150 Cu-m of 1:2:4 c...
1:2:4 concrete mix denotes, 1 part of cement, 2 parts of sand, and 4 parts of coarse aggregate in that particular concrete mix.
1 m3 freshly mixed concrete corresponds to 1.54 m3 dry volume of concrete.
Calculation:
Given,
Wet volume of concrete = 150 Cum, Concrete mix = 1:2:4
1 m3 freshly mixed concrete corresponds to 1.54 m3 dry volume of concrete.
150 m3 freshly mixed concrete corresponds = 150 × 1.54 = 231 m3 dry volume of concrete
In a concrete mix of 1:2:4, Total parts = (1 + 2 + 4) = 7
In a total of 7 parts, cement volume is 1 part, i.e. 1/7
Hence, Cement volume for 231 m3 dry concrete = (1/7) × 231 = 33 m3
1 m3 freshly mixed concrete corresponds to 1.54 m3 dry volume of concrete.
Calculation:
Given,
Wet volume of concrete = 150 Cum, Concrete mix = 1:2:4
1 m3 freshly mixed concrete corresponds to 1.54 m3 dry volume of concrete.
150 m3 freshly mixed concrete corresponds = 150 × 1.54 = 231 m3 dry volume of concrete
In a concrete mix of 1:2:4, Total parts = (1 + 2 + 4) = 7
In a total of 7 parts, cement volume is 1 part, i.e. 1/7
Hence, Cement volume for 231 m3 dry concrete = (1/7) × 231 = 33 m3
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