SOLUTION: Can someone please help: A 3-kg pine board is 20 cm wide, 2 cm thick, and 2 cm long. The density of the board is a. 240 kg/m3. b. 267 kg/m3. c. 375 kg/m3. d. 469 kg/m3.

Algebra ->  Length-and-distance -> SOLUTION: Can someone please help: A 3-kg pine board is 20 cm wide, 2 cm thick, and 2 cm long. The density of the board is a. 240 kg/m3. b. 267 kg/m3. c. 375 kg/m3. d. 469 kg/m3.      Log On


   

Question 190810: Can someone please help:
A 3-kg pine board is 20 cm wide, 2 cm thick, and 2 cm long. The density of the board is
a. 240 kg/m3.
b. 267 kg/m3.
c. 375 kg/m3.
d. 469 kg/m3.
Answer by orca(409) About Me  (Show Source):
You can put this solution on YOUR website!
I think the board should be 2 meters long instead of the given value of 2 cm
To figure out the density, we need to find the volume of the pine board. Then use the density formula to find the density
density = mass/volume
Note that as we want the unit of the density be kg/m3, we need to change the units of the board's dimensions to meter.
20cm = 20/100 meter = 0.2m
2cm = 2/100 meter = 0.02m
The volume = 0.2x0.02x1 = 0.008m^3
density = mass/volume = 3/0.008 = 375kg/m^3