Question

and volumes of cubes
cube mass (g) volume (cm³)
1 50 25
2 100 10
3 125 5
4 150 10
which cube has the highest density?

Explanation:

Step1: Recall density formula

Density $
ho=\frac{m}{V}$, where $m$ is mass and $V$ is volume.

Step2: Calculate density of cube 1

$
ho_1=\frac{m_1}{V_1}=\frac{50}{25}= 2$ g/cm³

Step3: Calculate density of cube 2

$
ho_2=\frac{m_2}{V_2}=\frac{100}{10}=10$ g/cm³

Step4: Calculate density of cube 3

$
ho_3=\frac{m_3}{V_3}=\frac{125}{5}=25$ g/cm³

Step5: Calculate density of cube 4

$
ho_4=\frac{m_4}{V_4}=\frac{150}{10}=15$ g/cm³

Step6: Compare densities

Since $2<10<15<25$, cube 3 has the highest density.

Answer:

3