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(gr)/(cm^3)`

Step-by-step 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(gr)/(cm^3) \end{gathered}`

therefore, the answer is

`4.012(gr)/(cm^3)`

I hope this helps you