Final answer:
The value of b that satisfies the equation b³ = 125 is 5 because 5 cubed equals 125. Therefore, the correct multiple-choice answer is (a) 5.
Step-by-step explanation:
The question asks us to determine the value of b such that b³ = 125. To find the value of b, we need to determine what number, when cubed, equals 125. This can be done by finding the cube root of 125. The cube root of a number a is a value that, when multiplied by itself three times, gives the number a. In this case, we are looking for the cube root of 125.
We know that 5 × 5 × 5 = 5³ = 125, so the cube root of 125 is 5. Thus, the value of b that satisfies the equation b³ = 125 is 5. Therefore, the correct answer from the multiple-choice options given is (a) 5.