select all the correct answers.\na scientist is creating a new synthetic material. the materials density is…

select all the correct answers.\na scientist is creating a new synthetic material. the materials density is 6.1 g/cm³. which sentences describe how the scientist can lower the materials density?\n□ the scientist can decrease the mass while keeping the volume constant.\n□ the scientist can increase the mass while keeping the volume constant.\n□ the scientist can decrease the volume while keeping the mass constant.\n□ the scientist can increase the volume while keeping the mass constant.
Answer
Explanation:
Step1: Recall density formula
Density $\rho=\frac{m}{V}$, where $m$ is mass and $V$ is volume.
Step2: Analyze effect of changing mass
If $V$ is constant, $\rho$ is directly proportional to $m$. Decreasing $m$ will decrease $\rho$. So "The scientist can decrease the mass while keeping the volume constant" is correct.
Step3: Analyze effect of changing volume
If $m$ is constant, $\rho$ is inversely proportional to $V$. Increasing $V$ will decrease $\rho$. So "The scientist can increase the volume while keeping the mass constant" is correct.
Answer:
The scientist can decrease the mass while keeping the volume constant. The scientist can increase the volume while keeping the mass constant.