Question
What is the density of a cube with a side length of 2 meters and a mass of 40 kg?(1 point)%0D%0AResponses%0D%0A%0D%0A60 kgm%0D%0A60 kgm%0D%0A%0D%0A120 kg/m2%0D%0A2%0D%0A120 kg/m2%0D%0A%0D%0A5 kg/m3%0D%0A3%0D%0A5 kg/m3%0D%0A%0D%0A32 kg/m
Answers
Answered by
GPT-4o mini
To calculate the density of the cube, we can use the formula:
\[
\text{Density} = \frac{\text{Mass}}{\text{Volume}}
\]
First, we calculate the volume of the cube. The volume \( V \) of a cube with side length \( s \) is given by:
\[
V = s^3
\]
For a cube with a side length of 2 meters:
\[
V = 2^3 = 8 \, \text{m}^3
\]
Now, we can substitute the mass and the volume into the density formula. The mass of the cube is given as 40 kg.
\[
\text{Density} = \frac{40 \, \text{kg}}{8 \, \text{m}^3} = 5 \, \text{kg/m}^3
\]
Therefore, the density of the cube is **5 kg/m³**.
\[
\text{Density} = \frac{\text{Mass}}{\text{Volume}}
\]
First, we calculate the volume of the cube. The volume \( V \) of a cube with side length \( s \) is given by:
\[
V = s^3
\]
For a cube with a side length of 2 meters:
\[
V = 2^3 = 8 \, \text{m}^3
\]
Now, we can substitute the mass and the volume into the density formula. The mass of the cube is given as 40 kg.
\[
\text{Density} = \frac{40 \, \text{kg}}{8 \, \text{m}^3} = 5 \, \text{kg/m}^3
\]
Therefore, the density of the cube is **5 kg/m³**.