The density of a substance is given by d=m/v (m=mass;v=volume;d=density) gold has density of 19.3g/cm. Find the mass of a sample with a volume of 2.5cm

To find the mass of the gold sample, we use the formula for density:

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

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

We are given:
- \( d = 19.3 \, \text{g/cm}^3 \) (density of gold),
- \( v = 2.5 \, \text{cm}^3 \) (volume of the sample).

We need to find \( m \) (the mass). Rearranging the formula to solve for mass:

\[
m = d \times v
\]

Substitute the values:

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

Now, let's calculate:

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

So, the mass of the gold sample is **48.25 grams**.

Would you like more details or have any questions about this?

Here are 5 related questions:
1. What is the volume of a gold sample with a mass of 96.5 grams?
2. How does density vary with changes in volume if mass remains constant?
3. If the density of another material is 10 g/cm³, what would be the mass of a 2.5 cm³ sample?
4. How can you calculate the volume of an irregularly shaped object to find its density?
5. What is the relationship between mass, density, and weight?

**Tip**: Always ensure that the units of density and volume are compatible before calculating mass.

The density of a substance is given by d=m/v (m=mass;v=volume;d=density). Gold has a density of 19.3g/cm³. Find the mass of a sample with a volume of 2.5cm³.

Learn how to calculate the mass of a gold sample using the formula m = d × v. Given the density of gold is 19.3g/cm³ and the volume is 2.5cm³, the mass is determined to be 48.25 grams. This problem is suitable for students in Grades 6-8 and covers concepts of density, mass, and volume.

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