A piece of white pine wood has a density of #"430 kg/m"^3#. What is the mass of #"50 m"^3# of this wood?

2 Answers
Feb 19, 2018

Answer:

#"21500 kg"# or #2.15*10^4# #"kg"#

Explanation:

Since

Density #= "Mass"/"Volume"#

use

#"Mass" = "Density" xx "Volume"#

Here

  • #"Density" = "430 kg/m"^3#
  • #"Volume" = "50 m"^3#

So

#"Mass" = "430 kg/m"^3 * "50 m"^3#

#"= 21500 kg"=2.15*10^4# #"kg"#

Feb 19, 2018

Answer:

#21500 \ "kg"#

Explanation:

Density is given by the equation

#rho=m/V#

where #m# is the mass of the object, #V# is the volume of the object

Arranging for #m#, we get

#m=rho xx V#

We have: #rho = "430 kg/""m"^3#, #V = "50m"^3#

#:.m= "430 kg/"cancel("m"^3)*50cancel("m"^3)=21500 \ "kg"#