Question

each of these cubes has a volume of 125 ml. the mass of each cube is shown in the image. what must be true about these cubes? cube a: m = 50 g; cube b: m = 100 g. cube a is twice as dense as cube b. the density of cube a is equal to the density of cube b. cube b is twice as dense as cube a.

Explanation:

Step1: Recall density formula

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

Step2: Calculate density of Cube A

For Cube A, $m_A = 50\ g$, $V_A = 125\ mL$. So $
ho_A = \frac{50}{125} = 0.4\ g/mL$.

Step3: Calculate density of Cube B

For Cube B, $m_B = 100\ g$, $V_B = 125\ mL$. So $
ho_B = \frac{100}{125} = 0.8\ g/mL$.

Step4: Compare densities

Check the ratio $\frac{
ho_B}{
ho_A} = \frac{0.8}{0.4} = 2$. So $
ho_B = 2
ho_A$, meaning Cube B is twice as dense as Cube A.

Answer:

Cube B is twice as dense as Cube A.