Question

Titanium is a metal used to make golf clubs. A rectangular bar of this metal measuring 1.96 cm x 2.19 cm x 2.63 cm was found to have a mass of 45.3 g. What is the density of titanium in g/cm3?

Answer 1

$4.012\frac{gr}{cm^3}$

Explanation

the density of an object is given by:

$\text{Density(d)}=\frac{mass(m)}{\text{volume(v)}}$

Step 1

find the volume of the bar

a)find the volume of the rectangular bar.

the volume of a rectangular prism is given by:

$\text{Volume}=\text{ length}\cdot widht\cdot depth$

replace

$\begin{gathered} \text{Volume}=(\text{ 2.63}\cdot2.19\cdot1.96)(cm^3) \\ \text{Volume}=11.289012(cm^3) \end{gathered}$

Step 2

now,

Let

$\begin{gathered} \text{Volume}=11.289012(cm^3) \\ \text{mass}=\text{ 45.3 gr} \end{gathered}$

replace in the formula

$\begin{gathered} \text{Density(d)}=\frac{mass(m)}{\text{volume(v)}} \\ d=\frac{45.3\text{ gr}}{11.289012(cm^3)} \\ d=4.012\frac{gr}{cm^3} \end{gathered}$

therefore, the answer is

$4.012\frac{gr}{cm^3}$

I hope this helps you