How to draw 3D plot of interval valued function using "IntervalArithmetic" package in Julia?

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I have a function P = f(a, b, c) = squareroot( a^2 + b^2 + ac + bc), where a, b, and c are in intervals. I want to draw a 3D or cubical type plot where a, b, and c will be on the x, y, and z axes. My aim is to visualize how the interval value of P changes with inputs a, b, and c.

Let a = (20..30), b= (3..4), and c = (100..200).

Please note that a, b, and c are not points in some range but are intervals.

Please let me know if any other information is required.

Thank you in advance.

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