Question

two cubes made of different substances have the same volume. the mass of cube 1 is equal to three times the mass of cube 2. which statement is true? multiple choice the density of cube 2 is three times the density of cube 1. the two cubes have the same density. the density of cube 1 is three times the density of cube 2.

Explanation:

Step1: Recall density formula

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

Step2: Analyze given conditions

Given $V_1 = V_2$ (same volume) and $m_1 = 3m_2$ (mass of cube 1 is 3 times cube 2).

Step3: Calculate density of cube 1 and 2

For cube 1: $
ho_1 = \frac{m_1}{V_1}$; for cube 2: $
ho_2 = \frac{m_2}{V_2}$. Since $V_1 = V_2$, substitute $m_1 = 3m_2$ and $V_1 = V_2$ into $
ho_1$: $
ho_1 = \frac{3m_2}{V_2} = 3\times\frac{m_2}{V_2} = 3
ho_2$. So $
ho_1$ (density of cube 1) is 3 times $
ho_2$ (density of cube 2).

Answer:

The density of cube 1 is three times the density of cube 2.