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

Answer 1

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.