Which of the following cubes of even numbers?
(i) 216 (ii) 729 (iii) 512 (iv) 3375 (v) 1000

Answer

To determine which of the given numbers are cubes of even numbers, we will analyze each option step by step.

### Step-by-Step Solution:

1. **Identify the numbers:**
We have the following numbers to analyze:
- (i) 216
- (ii) 729
- (iii) 512
- (iv) 3375
- (v) 1000

2. **Find the cube root of each number:**
We need to find the cube root of each number to determine if it is a cube of an even number.

- **For 216:**
\[ \sqrt[3]{216} = 6 \quad (\text{since } 6 \times 6 \times 6 = 216) \]
6 is an even number.

- **For 729:**
\[ \sqrt[3]{729} = 9 \quad (\text{since } 9 \times 9 \times 9 = 729) \]
9 is an odd number.

- **For 512:**
\[ \sqrt[3]{512} = 8 \quad (\text{since } 8 \times 8 \times 8 = 512) \]
8 is an even number.

- **For 3375:**
\[ \sqrt[3]{3375} = 15 \quad (\text{since } 15 \times 15 \times 15 = 3375) \]
15 is an odd number.

- **For 1000:**
\[ \sqrt[3]{1000} = 10 \quad (\text{since } 10 \times 10 \times 10 = 1000) \]
10 is an even number.

3. **Summarize the results:**
- The cubes of even numbers from the options are:
- 216 (cube of 6)
- 512 (cube of 8)
- 1000 (cube of 10)

### Final Answer:
The cubes of even numbers are **216, 512, and 1000**.