Here's a code snippet that utilizes a while loop to compute the sum of the cubes of the first n counting numbers:
n = 1
total = 0
while n <= k:
total += n * n * n
n += 1
How to explain
Initialize variables n and total.
Use a while loop that continues as long as n is less than or equal to the given positive integer k.
Within the loop, increment the total by adding the cube of n (i.e., n * n * n) to the existing total.
Increment n after each iteration to move through the counting numbers up to k.