Find the number of sides of a convex polygon whose angles add up to 3 pi radians.

Let n denote the number of sides of a given convex polygon.

Since in any convex polygon the number of its sides coincides with the number of its corners, the number of corners of this polygon will also be equal to n.

Using the fact that the sum of the angles of any convex n-gon is equal to n * (n – 2), we obtain the following equation:

n * (n – 2) = 3p.

Solving this equation, we find the number of sides of a given polygon:

n – 2 = 3p / p;

n – 2 = 3;

n = 2 + 3;

n = 5.

Answer: This polygon has 5 sides.