Step 1: Understand the conversion factors

1 inch (in) = 2.54 centimeters (cm)

1 foot (ft) = 12 inches (in)

Step 2: Write down the given value

In this case, the given value is 5 feet 8 inches. We can also write it as 5 ft 8 in.

Step 3: Convert feet to inches

Since 1 foot is equal to 12 inches, we multiply 5 feet by 12 to get the total number of inches. This gives us 60 inches.

Step 4: Add the remaining inches

We already have 60 inches from the previous step. To get the total number of inches, we add the remaining 8 inches from the given value. This gives us a total of 68 inches.

Step 5: Convert inches to centimeters

Since 1 inch is equal to 2.54 centimeters, we multiply 68 inches by 2.54 to get the equivalent in centimeters. This gives us 172.72 centimeters.

Step 6: Write the final answer

The final answer is 5 feet 8 inches is equal to 172.72 centimeters. This can also be written as 5 ft 8 in = 172.72 cm.

Therefore, 5 feet 8 inches is equivalent to 172.72 centimeters when converted using the given conversion factors.