SOLUTION: a closed box made of wood 1 cm thick, has external dimensions 20 cm by 15 cm by 10 cm. find the mass of the empty box if 1 cubic decimeter of wood weighs 1 kg?

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Question 945422: a closed box made of wood 1 cm thick, has external dimensions 20 cm by 15 cm by 10 cm. find the mass of the empty box if 1 cubic decimeter of wood weighs 1 kg?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
If the box was solid,
V%5Bs%5D=20%2A15%2A10=3000cc
Since it's not, subtract out the volume of the air space, by subtracting 1 cm from each side of each dimension.
V%5Ba%5D=18%2A13%2A8=1872cc
So then,
V=V%5Bs%5D-V%5Ba%5D=3000-1872=1128cc
Convert the volume to cubic decimeters using,
10cm=1dm
10%5E3=1000cc=1cd
So then,
1872%281%2F1000%29=1.872cd
And finally,
m=rho%2AV
m=1%281.872%29=1.872kg