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Reply by Lazyman

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Posted on Calculating the volume of Burial Urns

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Lazyman

3976 posts in 1898 days


#1 posted 08-16-2018 02:18 PM

If you “double” one of the linear sizes(length, width or height) you Square(double times double in this case or 4x)the surface area and “cube”(2×2x2 – factor of eight) the volume!
If you tripled one of the linear lengths, you would increase the surface area 9 times and the volume increase 27 times.

- pete724

Not sure you said that right. I think that the cube of the factor only applies if you scale all 3 dimensions by the same factor. If you scale up a single dimension, you can simply multiply the volume by the scale factor to get the new volume. If you have a cylinder that is 3” tall and 3 inches in diameter, it has a volume of 21.2 cubic inches. If you double the height, it is the same as adding a second 3” tall 3” diameter cylinder on top so it simply doubles the volume to 42.4 because you changed only one dimension. If you triple the height only, the new volume is 3 times the original, not 27 times. If you double the diameter (but not the height), that is really the same as doubling 2 dimensions so the area of a cross section will increase by 4 times and volume of the scaled up cylinder is 84.8 which is the same as multiplying the original volume (21.2) by the square of the scale factor (4).

-- Nathan, TX -- Hire the lazy man. He may not do as much work but that's because he will find a better way.


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