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?

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Answer 1 · 2018-02-19T01:51:18

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

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"#

Answer 2 · 2018-02-19T02:08:45

#21500 \ "kg"#

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"#