Answer :

The value for p is:-4

To find the value of p when R = 192 in a proportionality relationship between R and the cube of p, substitute the given values and solve to find p = 4.

R is directly proportional to the cube of p.

To find the value of p when R = 192:

  1. Set up the proportion: (R1)/(R2) = [tex](p1^3)/(p2^3).[/tex]
  2. Substitute the given values: 24/192 = 2^3/p2^3.
  3. Solve for p to find p = 4.

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