The density d  of a substance is given by the formula,  d=m/v
  where m  is its mass and V  is its volume. Gold has a density of 19.3 grams per cubic centimeter. Find the mass of a gold sample with a volume of 2.5 cubic centimeters.

The formula for density is:

\[
d = \frac{m}{v}
\]

Where:
- \( d \) is the density,
- \( m \) is the mass, 
- \( v \) is the volume.

Given that the density of gold is \( d = 19.3 \, \text{g/cm}^3 \) and the volume of the sample is \( v = 2.5 \, \text{cm}^3 \), we need to find the mass \( m \).

To solve for mass, we rearrange the formula:

\[
m = d \times v
\]

Substitute the given values:

\[
m = 19.3 \, \text{g/cm}^3 \times 2.5 \, \text{cm}^3
\]

Now, calculate the mass:

\[
m = 48.25 \, \text{g}
\]

Thus, the mass of the gold sample is \( 48.25 \, \text{grams} \).

Would you like more details or have any questions?

### Related Questions:
1. What is the formula for calculating volume if mass and density are known?
2. How does density change with temperature for most substances?
3. Can you explain how the units of grams per cubic centimeter relate to the formula \( d = m/v \)?
4. If the volume of the sample were doubled, what would happen to its mass, assuming density stays constant?
5. How is the density of gold compared to that of other metals like aluminum?

**Tip:** When solving problems involving units, always make sure the units are consistent across all variables in the equation.

The density d of a substance is given by the formula d = m/v where m is its mass and v is its volume. Gold has a density of 19.3 grams per cubic centimeter. Find the mass of a gold sample with a volume of 2.5 cubic centimeters.

Learn how to calculate the mass of a gold sample with a density of 19.3 g/cm³ and a volume of 2.5 cm³ using the formula d = m/v. This example covers basic density calculations and unit conversions, suitable for students in Grades 6-8.

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