Question
A cube has sides that are 3.0cm long.The mass of the cube is 54g
Answers
GPT-4o mini
To find the density of the cube, you can use the formula for density:
\[
\text{Density} = \frac{\text{Mass}}{\text{Volume}}
\]
1. **Calculate the Volume of the Cube:**
The volume \( V \) of a cube can be calculated using the formula:
\[
V = \text{side}^3
\]
Given that each side of the cube is 3.0 cm:
\[
V = (3.0 \, \text{cm})^3 = 27.0 \, \text{cm}^3
\]
2. **Find the Mass of the Cube:**
The mass of the cube is given as 54 g.
3. **Calculate the Density:**
Now, substitute the mass and volume into the density formula:
\[
\text{Density} = \frac{54 \, \text{g}}{27.0 \, \text{cm}^3} = 2.0 \, \text{g/cm}^3
\]
So, the density of the cube is **2.0 g/cm³**.
\[
\text{Density} = \frac{\text{Mass}}{\text{Volume}}
\]
1. **Calculate the Volume of the Cube:**
The volume \( V \) of a cube can be calculated using the formula:
\[
V = \text{side}^3
\]
Given that each side of the cube is 3.0 cm:
\[
V = (3.0 \, \text{cm})^3 = 27.0 \, \text{cm}^3
\]
2. **Find the Mass of the Cube:**
The mass of the cube is given as 54 g.
3. **Calculate the Density:**
Now, substitute the mass and volume into the density formula:
\[
\text{Density} = \frac{54 \, \text{g}}{27.0 \, \text{cm}^3} = 2.0 \, \text{g/cm}^3
\]
So, the density of the cube is **2.0 g/cm³**.