Question
A cube measures 3.0 cm on each side and has a mass of 25 g. What is the density of the cube?
Answers
GPT-4o mini
To calculate the density of the cube, you can use the formula:
\[
\text{Density} = \frac{\text{mass}}{\text{volume}}
\]
1. **Calculate the volume of the cube:**
The volume \( V \) of a cube is given by the formula:
\[
V = \text{side}^3
\]
For a cube with a side length of 3.0 cm:
\[
V = (3.0 \, \text{cm})^3 = 3.0 \times 3.0 \times 3.0 = 27.0 \, \text{cm}^3
\]
2. **Calculate the density:**
Given that the mass of the cube is 25 g, use the density formula:
\[
\text{Density} = \frac{25 \, \text{g}}{27.0 \, \text{cm}^3}
\]
Now, perform the division:
\[
\text{Density} \approx 0.9259 \, \text{g/cm}^3
\]
So, the density of the cube is approximately **0.93 g/cm³** when rounded to two decimal places.
\[
\text{Density} = \frac{\text{mass}}{\text{volume}}
\]
1. **Calculate the volume of the cube:**
The volume \( V \) of a cube is given by the formula:
\[
V = \text{side}^3
\]
For a cube with a side length of 3.0 cm:
\[
V = (3.0 \, \text{cm})^3 = 3.0 \times 3.0 \times 3.0 = 27.0 \, \text{cm}^3
\]
2. **Calculate the density:**
Given that the mass of the cube is 25 g, use the density formula:
\[
\text{Density} = \frac{25 \, \text{g}}{27.0 \, \text{cm}^3}
\]
Now, perform the division:
\[
\text{Density} \approx 0.9259 \, \text{g/cm}^3
\]
So, the density of the cube is approximately **0.93 g/cm³** when rounded to two decimal places.