Answer:
Volume is 0.8 cm³, the mass is 0.48g.
Explanation:
Density
Density measures how much space an object's matter takes up, in mathematical terms it's the relation between an object's mass and its volume.
[tex]\rho = \dfrac{m}{V}[/tex],
where rho (the "p") is density, m is the mass (g) and V is the volume (cm).
[tex]\hrulefill[/tex]
Solving the Problem
We're told
- initial volume (without the wooden piece) is 17.7cm³
- final volume (with the wooden piece) is 18.5cm³
- density is 0.60
and we need to find the volume of the wood and its mass.
Given the information from the problem, we can calculate the wood's volume immediately.
[tex]\text{Volume of the wood piece} =V_{final}-V_{initial}[/tex]
[tex]= 18.5-17.7=\boxed{0.8cm^3}[/tex]
Now that we have the wooden piece's volume and its density, we can rearrange the density equation to find its mass.
[tex]\rho = \dfrac{m}{V}\\[/tex]
[tex]0.60=\dfrac{m}{0.8}[/tex]
[tex]\boxed{0.48g=m}[/tex]
