If iron has a density of 7,874 kg/m3, and the mass of an iron block is 16,000 kilograms, which of the following correctly calculates the volume of the iron block?(1 point)

Responses

2.03m32.03m cubed

20.3 m320.3 m cubed

0.49 m30.49 m cubed

0.203 m3

1 answer

To calculate the volume of the iron block, you can use the formula for density, which is:

\[ \text{Density} = \frac{\text{Mass}}{\text{Volume}} \]

Rearranging this formula to solve for volume gives:

\[ \text{Volume} = \frac{\text{Mass}}{\text{Density}} \]

Given:

  • Mass of the iron block = 16,000 kg
  • Density of iron = 7,874 kg/m³

Substituting these values into the formula:

\[ \text{Volume} = \frac{16,000 , \text{kg}}{7,874 , \text{kg/m}^3} \]

Calculating this:

\[ \text{Volume} \approx 2.03 , \text{m}^3 \]

Therefore, the correct answer is:

2.03 m³