Respuesta :

Answer:

6615.4 cm3

Explanation:

Density = mass/volume

We know the density is 1.30 g/cm3.

We know the mass is 8.60 kg.

So, we can easily calculate the volume, but first we need to get our units to be the same and consistent.

Let us change the mass from kg to g.  8.60 kg x 1000 g/kg = 8600 g

From density = mass/volume we can solve for volume...

volume = mass/density = 8600g/1.30 g/cm3

volume = 6615.4 cm3 = 6620 cm3 (3 significant figures)

The volume of the given ebony wood is 0.8798 quartz.

Explanation:

  • The density of the substance is defined as a mass of substance present in the unit volume of the substance. Mathematically written as:

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

Given:

The density of ebony wood =1.174 g/mL

The mass of the ebony wood = 2.1549 lbs

To find:

The volume of given ebony wood in quarts.

Solution:

The mass of the ebony wood = m = 2.1549 lbs

[tex]1 lbs = 453.592 g\\\\= 2.1549 lbs= 2.1549\times 453.592 g=977.44 g[/tex]

The volume of the ebony wood = v

The density of ebony wood = d =1.174 g/mL

[tex]1.174 g/mL=\frac{977.44 g}{v}\\\\v=\frac{977.44 g}{1.174 g/mL}=832.6 mL\\\\1 quarts= 946.353 mL\\\\v=832.6 mL=\frac{832.6}{946.353} quarts\\\\=0.8798 quarts[/tex]

The volume of the given ebony wood is 0.8798 quartz.

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