What is the quantity of cement (in kg) and of dry sand (in cubic meter...
Concept:
The following is parameters and properties of cement:
1. Bulk density of cement = 1440 kg/m3
2. Specific gravity of cement = 3.15
3. Weight of one bag of cement = 50 kg
4. Volume of cement bag = 50/1440 = 0.035 m3
5. Number of cement bags in 1 m3 = 30 approx.
6. Volume of dry mortar is 30% more than the volume of wet mortar.
∴ The volume of dry mortar = 1.3 × volume of wet mortar
Calculation:
1 m3 of wet cement mortar will correspond to 1.25 m3 of dry mortar
Sum of proportions = 1 + 5 = 6
Cement = 1.3/6 = 0.216m3
1 m3 of cement = 1440 kg
So, 0.216 m3 to cement = 312 kg
Sand = (5 x 1.3)/6 = 1.08m3
What is the quantity of cement (in kg) and of dry sand (in cubic meter...
Calculation of Quantity of Cement:
- The proportion of cement in the cement mortar is given as 1:5.
- This means that for every 1 part of cement, we need 5 parts of sand.
- Let the quantity of cement be represented by 'x' kg.
- Since the total proportion is 1+5=6, the total quantity of cement and sand combined will be 6 parts.
- Hence, the quantity of sand will be 5 parts out of the total 6 parts.
- Therefore, the quantity of sand will be (5/6) cubic meter.
Calculation of Quantity of Sand:
- The quantity of sand required is given by the total quantity (1 cubic meter) minus the quantity of cement.
- Therefore, the quantity of sand will be (1 - x) cubic meter.
Equation:
- From the above calculations, we have determined the quantity of cement as 'x' kg and the quantity of sand as (1 - x) cubic meter.
- The weight of 1 cubic meter of cement is 1440 kg.
- The weight of cement is directly proportional to its volume. Therefore, we can write the equation as:
x/1440 = (1 - x)/1
- Simplifying the equation, we get:
x = 1440(1 - x)
x = 1440 - 1440x
1441x = 1440
x = 1440/1441
x ≈ 0.9986 kg
Final Answer:
- The quantity of cement required is approximately 0.9986 kg.
- The quantity of sand required is approximately (1 - 0.9986) = 0.0014 cubic meter.
- Therefore, the correct answer is option 'D': 312 kg of cement and 1.04 cubic meter of dry sand are required to prepare 1 cubic meter of wet cement mortar in a proportion of 1:5.