Question
Which of these objects has the greatest density?(1 point)
Responses
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 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 4 g and a volume of 2 cm3
an object with a mass of 4 g and a volume of 2 cm cubed
an object with a mass of 8 g and a volume of 2 cm3
Answers
GPT-4o mini
To find the density of each object, we use the formula:
\[
\text{Density} = \frac{\text{Mass}}{\text{Volume}}
\]
Let's calculate the density for each object:
1. **Object with mass 6 g and volume 4 cm³:**
\[
\text{Density} = \frac{6 \text{ g}}{4 \text{ cm}^3} = 1.5 \text{ g/cm}^3
\]
2. **Object with mass 10 g and volume 4 cm³:**
\[
\text{Density} = \frac{10 \text{ g}}{4 \text{ cm}^3} = 2.5 \text{ g/cm}^3
\]
3. **Object with mass 4 g and volume 2 cm³:**
\[
\text{Density} = \frac{4 \text{ g}}{2 \text{ cm}^3} = 2.0 \text{ g/cm}^3
\]
4. **Object with mass 8 g and volume 2 cm³:**
\[
\text{Density} = \frac{8 \text{ g}}{2 \text{ cm}^3} = 4.0 \text{ g/cm}^3
\]
Now, let's compare the densities calculated:
- The first object has a density of **1.5 g/cm³**.
- The second object has a density of **2.5 g/cm³**.
- The third object has a density of **2.0 g/cm³**.
- The fourth object has a density of **4.0 g/cm³**.
From these calculations, the object with a mass of 8 g and a volume of 2 cm³ has the greatest density:
\[
\text{Greatest Density} = 4.0 \text{ g/cm}^3
\]
\[
\text{Density} = \frac{\text{Mass}}{\text{Volume}}
\]
Let's calculate the density for each object:
1. **Object with mass 6 g and volume 4 cm³:**
\[
\text{Density} = \frac{6 \text{ g}}{4 \text{ cm}^3} = 1.5 \text{ g/cm}^3
\]
2. **Object with mass 10 g and volume 4 cm³:**
\[
\text{Density} = \frac{10 \text{ g}}{4 \text{ cm}^3} = 2.5 \text{ g/cm}^3
\]
3. **Object with mass 4 g and volume 2 cm³:**
\[
\text{Density} = \frac{4 \text{ g}}{2 \text{ cm}^3} = 2.0 \text{ g/cm}^3
\]
4. **Object with mass 8 g and volume 2 cm³:**
\[
\text{Density} = \frac{8 \text{ g}}{2 \text{ cm}^3} = 4.0 \text{ g/cm}^3
\]
Now, let's compare the densities calculated:
- The first object has a density of **1.5 g/cm³**.
- The second object has a density of **2.5 g/cm³**.
- The third object has a density of **2.0 g/cm³**.
- The fourth object has a density of **4.0 g/cm³**.
From these calculations, the object with a mass of 8 g and a volume of 2 cm³ has the greatest density:
\[
\text{Greatest Density} = 4.0 \text{ g/cm}^3
\]