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How many stones of each of volume 240 cm^3 will be required to construct a wall of 15m * 80m * 20 cm?

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Calculating the Number of Stones for Wall Construction

Constructing a wall involves careful planning and precise calculations to ensure that the right amount of materials is used. In this case, we are tasked with determining the number of stones needed to build a wall that measures 15 meters in length, 80 meters in width, and 20 centimeters in thickness.

Understanding the Volume

Firstly, let’s understand the volume of the wall we are constructing:

 

Given the dimensions:

  • Length (L) = 15m
  • Width (W) = 80m
  • Thickness (T) = 20cm = 0.2m (since 1m = 100cm)

The volume of the wall can be calculated as:

Stone Volume

Each stone has a volume of 240 cm³, which we need to convert to cubic meters for consistency:

Number of Stones Calculation

To find out how many such stones are required, we divide the total volume of the wall by the volume of one stone:

Therefore, 1,000,000 stones of volume 240 cm³ each will be required to construct the wall with the given dimensions.

Conclusion

This calculation is crucial for ensuring that the right amount of material is ordered, which helps in cost estimation and avoids wastage. For construction projects, it’s always recommended to add a buffer to account for breakage and cutting losses, which might be around 5-10% more than the calculated number.

In summary, precise calculations like these form the backbone of efficient and effective construction planning and management. By knowing the exact number of stones needed, project managers can make informed decisions that lead to successful project outcomes.

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