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