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