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When piece of wood is put in
graduated cylinder containing couter
the level of caller rises from 17.7
cm³ to 18.5cm³ calculate the
a mass of piece of wood and the
total volume of wood
given its relative
density is 0.60
​

Sagot :

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]

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