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

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**