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Model with simple frustrum - volume calculation wrong

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I make a lot of models that involve pyramidal frustrums (transition of a rectangular section to another rectangular section, linearly). Rather than use the measured value calculated by Creo, I thought I'd have a go at calculating the volume directly from the dimensions.

When I check my calculations, the volume calculated directly from the dimensions differs from the Creo analysis result.

I minimized the accuracy value, but still get the exact same result.

Here are my simple values

Base rectangle: 5 X 3 -> Base area: 15

Top rectangle: 4 X 2 -> Top area: 8

Height: 1

 

Frustrum of a pyramid volume is

 

Volume = ( Area Base + Area Top + SQRT ( Area Base * Area Top ) ) * Height / 3 = 11.3182

 

Creo, on the other hand, gives a volume of 11.3333.

 

Anyone have any insights into this?

 

This is simple shape, and kind of scares me about what might be happening with more complicated geometry.


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