Question

1. the volume of each cube in the diagram is 125 cm³. the mass of each cube is also shown. cube a m = 50 g cube b m = 100 g what can be concluded about the densities of the cubes? a. cube a is twice as dense as cube b. b. cube b is twice as dense as cube a. c. the density of the cubes cannot be compared because their weights are not given.

Explanation:

Step1: Recall the formula for density

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

Step2: Calculate the density of Cube A

Given $m_A = 50\ g$ and $V = 125\ cm^3$. Using the density formula $
ho_A=\frac{m_A}{V}=\frac{50}{125}=\frac{2}{5}\ g/cm^3$.

Step3: Calculate the density of Cube B

Given $m_B = 100\ g$ and $V = 125\ cm^3$. Using the density formula $
ho_B=\frac{m_B}{V}=\frac{100}{125}=\frac{4}{5}\ g/cm^3$.

Step4: Compare the densities

We find that $
ho_B = 2
ho_A$.

Answer:

B. Cube B is twice as dense as Cube A.