Final answer:
The student's question involves performing calculations with attention to the number of significant figures, such as cubing the sum of two decimal numbers and taking the square root after subtraction. The examples provided illustrate the importance of rounding to the correct number of significant figures in accordance with the given precision.
Step-by-step explanation:
The question requires us to perform a series of calculations with a certain degree of precision, limiting our answers to the proper number of significant figures. For instance, when we calculate (0.06 + 4.87)³, we must cube the sum of 0.06 and 4.87, and when calculating √(18.1 - 8.56), we must first subtract 8.56 from 18.1 and then find the square root of the result. It's essential to follow the rules of significant figures to ensure the final answer reflects the precision of the numbers provided in the question.
In the context of the provided reference information, for example, if the calculator display shows 2,085.5688, but the measurement's significant figures dictate that we should only have five significant figures, the result would be rounded to 2,085.6. Similarly, 0.6238 cm x 6.6 cm = 4.11708 cm², but since we must round it to two significant figures, the result is 4.1 cm².