# A block of lead, with dimensions 2.0 dm x 8.0 cm x 35 mm, has a mass of 6.356 kg. How do you calculate the density of lead in #g/(cm^3)#?

##### 2 Answers

#### Explanation:

- Length
#"= 2.0 dm = 20 cm"# - Breadth
#"= 8.0 cm"# - Height
#"= 35 mm = 3.5 cm"#

Volume of block

#"V = ℓ · b · h = 20 cm × 8.0 cm × 3.5 cm = 560 cm"^3#

Density of lead is

#"Density" = "Mass"/"Volume" = "6356 g"/("560 cm"^3) = "11.35 g/cm"^3#

#### Explanation:

So first,

Starting with the volume portion, we need to have all of our units in

The

Now we can calculate the volume using

Now the mass portion, we need our units in grams (

Convert

So now we divide