The density of a piece of ebony wood is 1.30g/cm3. What is the volume of 8.60Kg of this wood?

Answer 1

Density = Mass / Volume

Notice the units of density given vs units of mass: g/cm³ VS kg

We need to convert kg to g before starting our calculation

8.60 kg = 8600 g

Rearrange density formula to solve for volume

volume = mass / density

volume = 8600 g / 1.30 g/cm³

calculator spits out: 6615.384 cm³

3 sig figs = 6620 cm³

Answer 2

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)