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Is there a scanner that can work out cubic centimetres?

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Charlie J:
To give a simpler example and always remembering that Volume = Mass/Density

Take a ball of dough which will have a given mass and density and therefore volume. If you rolled it out as flat as you can it would still have the same mass, density and volume as the ball but a much larger surface area.

K2-K6:
Trying to visualise it. And so if I had that notional 1cm cube in steel and milled a V shape into one surface, then mass is reduced but surface area changes by the difference between that one face being removed, plus the two triangles missing from the other two faces affected and compared to the two newly made facet of that V ? Maths should prove or disprove that.

If that's true, wouldn't the displacement method be more accurate, and certainly close enough for the purpose calculations needed for the original question.

Charlie J:
Rather than trying to visualise it. Try this exercise.
Take a steel cube 100mm x 100mm x 100mm and work out the surface are and volume.

Now slice the cube in half to give two pieces 100mm x 100mm x 50mm and now work out the total volume and surface area of the two pieces.

You will find that whilst the volume remains the same, the surface area will have increased by over 30%. So the displacement method for determining surface area isn’t remotely accurate even for non complex shapes.

I’ll let you do the actual maths which will clearly demonstrate the point

Oddjob:
What have I started  :D :D :D :D

K2-K6:
 ;D interesting though.

Thanks for input from other posters,  certainly makes you use your thinking power to try and figure something out.

Apologies if it's diverting your thread Ken  :)

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