Final answer:
The answer includes the perfect square and cube whole numbers found within the given range of numbers for each interval, identified by calculating the square and cube roots of the interval boundaries.
Step-by-step explanation:
The question asks to determine all the perfect square whole numbers and perfect cube whole numbers between each pair of specified numbers:
For 315 - 390, the perfect squares are 324 (182) and 361 (192), and the perfect cube is 343 (73).
For 650 - 750, the perfect square is 676 (262), and there are no perfect cubes within this range.
For 800 - 925, the perfect squares are 812 = 656 and 272 = 729, and the perfect cube is 203 = 8000.
For 1200 - 1350, 362 = 1296 is a perfect square, and there are no perfect cubes within this interval.
To find these numbers, one would typically calculate the square and cube roots of the boundaries (e.g., √315 and √390, or ∛650 and ∛750) and then identify the integers within those ranges. The listed perfect squares and cubes are those that fall within the given intervals.