Question

Which of these objects has the greatest density?(1 point)
Responses

an object with a mass of 8 g and a volume of 2 cm3
an object with a mass of 8 g and a volume of 2 cm cubed

an object with a mass of 10 g and a volume of 4 cm3
an object with a mass of 10 g and a volume of 4 cm cubed

an object with a mass of 6 g and a volume of 4 cm3
an object with a mass of 6 g and a volume of 4 cm cubed

an object with a mass of 4 g and a volume of 2 cm3

Answer 1

To find out which object has the greatest density, we need to calculate the density for each object using the formula:

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

Let's calculate the density for each object:

1. **Object with a mass of 8 g and a volume of 2 cm³:**
\[
\text{Density} = \frac{8 \, \text{g}}{2 \, \text{cm}^3} = 4 \, \text{g/cm}^3
\]

2. **Object with a mass of 10 g and a volume of 4 cm³:**
\[
\text{Density} = \frac{10 \, \text{g}}{4 \, \text{cm}^3} = 2.5 \, \text{g/cm}^3
\]

3. **Object with a mass of 6 g and a volume of 4 cm³:**
\[
\text{Density} = \frac{6 \, \text{g}}{4 \, \text{cm}^3} = 1.5 \, \text{g/cm}^3
\]

4. **Object with a mass of 4 g and a volume of 2 cm³:**
\[
\text{Density} = \frac{4 \, \text{g}}{2 \, \text{cm}^3} = 2 \, \text{g/cm}^3
\]

Now, let's summarize the densities calculated:

- Object 1: 4 g/cm³
- Object 2: 2.5 g/cm³
- Object 3: 1.5 g/cm³
- Object 4: 2 g/cm³

The object with the greatest density is the one with a mass of **8 g** and a volume of **2 cm³**, which has a density of **4 g/cm³**.