Copper Mass Calculation: 2.8 M³ At 8900 Kg/m³

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Understanding density and mass is fundamental in physics and engineering. This article will guide you through calculating the mass of a specific volume of copper, given its density.

Understanding Density

Density is defined as mass per unit volume. The formula for density ("") is:

Density = Mass / Volume

In this case, we know:

  • Density of copper ("") = 8900 kg/m³
  • Volume of copper (V) = 2.8 m³

We need to find the mass (m).

Calculating the Mass

To find the mass, we rearrange the density formula:

Mass = Density * Volume

Now, plug in the known values:

Mass = 8900 kg/m³ * 2.8 m³

Mass = 24920 kg

Therefore, the mass of 2.8 m³ of copper is 24,920 kilograms.

Importance of Accurate Measurements

Accurate measurements of density and volume are crucial in many applications, including:

  • Engineering: Ensuring structural integrity.
  • Manufacturing: Controlling material properties.
  • Scientific Research: Conducting experiments and analysis.

Using precise values helps in achieving reliable and consistent results.

Practical Applications

Understanding these calculations has numerous real-world applications. For example, engineers use density calculations to determine the weight of materials used in construction, ensuring structures can withstand the intended loads. Similarly, in manufacturing, knowing the precise mass and volume helps in quality control and material usage.

Additional Resources

For further learning on density and mass calculations, consider exploring these resources:

  • Khan Academy: Physics lessons on density.
  • University Physics Textbooks: Comprehensive coverage of mechanics and material properties.

By mastering these concepts, you enhance your problem-solving skills in physics and engineering.

Conclusion

Calculating the mass of a substance given its density and volume is a straightforward process using the formula Mass = Density * Volume. In the case of 2.8 m³ of copper with a density of 8900 kg/m³, the mass is 24,920 kg. Accurate measurements and a solid understanding of these principles are essential for various applications in science and engineering. Keep practicing and exploring to deepen your knowledge!