Question

The density of pure solid copper is 8.94 grams per milliliter. What volume does 5 kilograms of copper occupy?

Group of answer choices

0.56 grams per cubic milliliter

1.79 grams per cubic milliliter

44.7 grams per cubic milliliter

5.59 grams per cubic milliliter

Answer 1

To find the volume that 5 kilograms of copper occupies, you can use the formula for density:

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

Rearranging this formula to solve for volume gives:

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

Given:
- Mass of copper = 5 kilograms = 5000 grams (since 1 kg = 1000 grams)
- Density of copper = 8.94 grams per milliliter

Now, substituting the values into the volume formula:

\[
\text{Volume} = \frac{5000 \text{ grams}}{8.94 \text{ grams/milliliter}} \approx 559.3 \text{ milliliters}
\]

Now, let's express the volume in cubic milliliters (since 1 milliliter = 1 cubic centimeter).

So, the volume occupied by 5 kilograms of copper is approximately 559.3 milliliters or cubic centimeters.

Based on the choices provided, none of the options seem to match this calculated volume. If the question is asking for a different unit (like grams per cubic milliliter), please clarify. However, to answer the original query of how much volume 5 kg of copper occupies, it's approximately 559.3 milliliters.