Math Problem Statement

If the density is 0.179 g/L and the volume is 5740000 L what is the mass

Solution

To calculate the mass given the density and volume, we use the formula:

Mass=Density×Volume\text{Mass} = \text{Density} \times \text{Volume}

Given:

  • Density ρ=0.179g/L\rho = 0.179 \, \text{g/L}
  • Volume V=5740000LV = 5740000 \, \text{L}

Calculation:

Mass=0.179g/L×5740000L=1024460g\text{Mass} = 0.179 \, \text{g/L} \times 5740000 \, \text{L} = 1024460 \, \text{g}

To convert grams to kilograms:

Mass=1024460g1000=1024.46kg\text{Mass} = \frac{1024460 \, \text{g}}{1000} = 1024.46 \, \text{kg}

Final Answer:

The mass is 1024.46 kilograms.

Would you like more details or have any questions?


Here are 5 related questions:

  1. How would you calculate the volume if you were given the mass and density instead?
  2. What would be the mass if the density were doubled while keeping the same volume?
  3. How does temperature affect the density of a substance like a gas?
  4. How do you convert mass from kilograms to other units like pounds or ounces?
  5. What practical applications involve large-scale calculations of mass from density and volume?

Tip: Always ensure that the units are consistent when performing calculations to avoid errors in the final result.

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Math Problem Analysis

Mathematical Concepts

Density
Volume
Mass

Formulas

Mass = Density \times Volume

Theorems

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Suitable Grade Level

High School