SOLUTION: The outer dimensions of the a wooden box are 50 cm, 45 cm, 33 cm. The thickness of the box is 0.5 cm. If the wood weighs 0.8 grams per cubic centimeter, find the weight of the box.

Algebra ->  Volume -> SOLUTION: The outer dimensions of the a wooden box are 50 cm, 45 cm, 33 cm. The thickness of the box is 0.5 cm. If the wood weighs 0.8 grams per cubic centimeter, find the weight of the box.      Log On


   

Question 1040877: The outer dimensions of the a wooden box are 50 cm, 45 cm, 33 cm. The thickness of the box is 0.5 cm. If the wood weighs 0.8 grams per cubic centimeter, find the weight of the box.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
If the box was solid, the volume would be,
V=50%2A45%2A33=74250
The inner portion of the box which is now airspace would have dimensions,
50-2%280.5%29=50-1=49
45-2%280.5%29=45-1=44
33-2%280.5%29=33-1=32
So the "volume" of the air is,
V%5Bair%5D=49%2A44%2A32=68992cc
So the volume of wood is the difference of the two values,
V%5Bwood%5D=74250-68992
V%5Bwood%5D=5258cc
m=rho%2AV
m%5Bwood%5D=0.8%285258%29=4206g