Question 1: Calculate the exact value of the cube root of 8.

Answer: 2

Question 2: Determine the cube root of 27.

Answer: 3

Question 3: Find the cube root of 64.

Answer: 4

Question 4: What is the value of the cube root of 125?

Answer: 5

Question 5: Calculate the cube root of 216.

Answer: 6

Question 6: Estimate the cube root of 50. (Note: Exact value is not a perfect cube)

Answer: Approximately 3.684

Question 7: Determine the cube root of 512.

Answer: 8

Question 8: If the cube root of a number is 9, what is the number?

Answer: 729

Question 9: A cube has side length 3 units. Find the volume, expressed using a cube root if applicable.

Answer: Volume = 27 cubic units = 3^3

Question 10: Identify the mistake: The student says that the cube root of 125 is 25 because 25×25×25 = 15625.

Answer: The mistake is that 25×25×25 equals 15625, which is the cube of 25, not the cube root. The cube root of 15625 is 25, but the cube root of 125 is 5.

Question 11: Find all perfect cubes between 1 and 1000 and their cube roots.

Answer: 1 (1), 8 (2), 27 (3), 64 (4), 125 (5), 216 (6), 343 (7), 512 (8), 729 (9), 1000 (10)

Question 12: Construct a cube with side length 4 units on the grid. Then, find its volume using a cube root expression.

Answer: Volume = 64, which is 4^3