# A student has samples of five different types of metal. She measures the mass and volume of each sample. The measurements

###### Question:

## Answers

The correct option is E.

Explanation: We are given few metals with their masses and volume.

Density is defined as the amount of mass that can be occupied in a given volume.

Mathematically,

[tex]Density=\frac{Mass}{Volume}[/tex]

For any metal, the density will remain same.

For Aluminium:Mass = 14g

[tex]Volume=5.4cm^3[/tex]

[tex]Density=\frac{14.6}{5.4}=2.70g/cm^3[/tex]

For Iron:Mass = 33.1g

[tex]Volume=4.2cm^3[/tex]

[tex]Density=\frac{33.1}{4.2}=7.88g/cm^3[/tex]

For Lead:Mass = 35.2g

[tex]Volume=3.1cm^3[/tex]

[tex]Density=\frac{35.2}{3.1}=11.34g/cm^3[/tex]

For Magnesium:Mass = 10.6g

[tex]Volume=6.1cm^3[/tex]

[tex]Density=\frac{10.6}{6.1}=1.74g/cm^3[/tex]

For Silver:Mass = 47.2g

[tex]Volume=4.5cm^3[/tex]

[tex]Density=\frac{47.2}{4.5}=10.49g/cm^3[/tex]

For Unknown metal:Mass = 33.5g

[tex]Volume=3.2cm^3[/tex]

[tex]Density=\frac{33.5}{3.2}=10.47g/cm^3[/tex]

As the density of unknown metal matches the density of Silver metal. Hence, the unknown metal is the Silver metal.

So, the correct option is E.