Density Investigation Quick Check

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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

1 answer

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