Problem:

Convert height (in feet and inches) to centimeters.

Solution:

To convert height from feet and inches to centimeters, we can use the following formula:

Centimeters = (Feet * 30.48) + (Inches * 2.54)

Where:
- Feet is the height in feet
- Inches is the height in inches
- 30.48 is the conversion factor from feet to centimeters
- 2.54 is the conversion factor from inches to centimeters

Algorithm:

1. Take input for the height in feet and inches.
2. Convert the height to centimeters using the formula mentioned above.
3. Print the converted height in centimeters.

Python code:

```python
# Taking input for height in feet and inches
feet = int(input("Enter height in feet: "))
inches = int(input("Enter height in inches: "))

# Converting height to centimeters
centimeters = (feet * 30.48) + (inches * 2.54)

# Printing the converted height
print("Height in centimeters:", centimeters)
```

Explanation:

1. We start by taking user input for the height in feet and inches using the `input()` function. The `int()` function is used to convert the input to integers.
2. We then use the formula mentioned above to convert the height to centimeters. We multiply the feet by the conversion factor of 30.48 to get the height in centimeters. Similarly, we multiply the inches by the conversion factor of 2.54 to get the height in centimeters.
3. Finally, we print the converted height in centimeters using the `print()` function.

Example:

Suppose the user inputs the height as 5 feet and 8 inches.

Output:

```
Enter height in feet: 5
Enter height in inches: 8
Height in centimeters: 172.72
```

The height of 5 feet and 8 inches is equivalent to 172.72 centimeters.