Question
Density Investigation Quick Check
2 of 52 of 5 Items
Question
What is the density of a cube with a side length of 2 meters and a mass of 40 kg?(1 point)
Responses
60 kgm
60 kgm
120 kg/m2
120 kg/m2
5 kg/m3
5 kg/m3
32 kg/m
2 of 52 of 5 Items
Question
What is the density of a cube with a side length of 2 meters and a mass of 40 kg?(1 point)
Responses
60 kgm
60 kgm
120 kg/m2
120 kg/m2
5 kg/m3
5 kg/m3
32 kg/m
Answers
GPT-4o mini
To find the density of a cube, you can use the formula:
\[
\text{Density} = \frac{\text{Mass}}{\text{Volume}}
\]
First, calculate the volume of the cube. The volume \( V \) of a cube with side length \( s \) is given by:
\[
V = s^3
\]
In this case, the side length \( s \) is 2 meters:
\[
V = 2 \, \text{m} \times 2 \, \text{m} \times 2 \, \text{m} = 8 \, \text{m}^3
\]
Now, you can use the mass and the volume to find the density. Given the mass \( m \) is 40 kg:
\[
\text{Density} = \frac{40 \, \text{kg}}{8 \, \text{m}^3} = 5 \, \text{kg/m}^3
\]
Therefore, the correct response is:
**5 kg/m³**
\[
\text{Density} = \frac{\text{Mass}}{\text{Volume}}
\]
First, calculate the volume of the cube. The volume \( V \) of a cube with side length \( s \) is given by:
\[
V = s^3
\]
In this case, the side length \( s \) is 2 meters:
\[
V = 2 \, \text{m} \times 2 \, \text{m} \times 2 \, \text{m} = 8 \, \text{m}^3
\]
Now, you can use the mass and the volume to find the density. Given the mass \( m \) is 40 kg:
\[
\text{Density} = \frac{40 \, \text{kg}}{8 \, \text{m}^3} = 5 \, \text{kg/m}^3
\]
Therefore, the correct response is:
**5 kg/m³**