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)

Question

Responses

20.3 m3
20.3 m cubed

0.49 m3
0.49 m cubed

2.03 m3
2.03 m cubed

0.203 m3

Answer 1

To calculate the volume of the iron block, you can use the formula:

$$\text{Volume}=\frac{\text{Mass}}{\text{Density}}$$

Given that the mass of the iron block is 16,000 kg and the density of iron is 7,874 kg/m³, we can substitute these values into the formula:

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

Now, performing the calculation:

$$\text{Volume}\approx \frac{16,000}{7,874}\approx 2.03,{\text{m}}^3$$

Thus, the correct answer is:

2.03 m³ (2.03 m cubed).