Convert 5 feet 8 inches to cm

Formulas:

The formula to convert length from feet to centimeters is:

Length_{(centimeters)} = Length_(feet) / 0.032808398950000005 ——①

The formula to convert length from inches to centimeters is:

Length_{(centimeters)} = Length_(inches) / 0.3937007874 ——②

Problem at hand:

We need to convert given length of 5 feet to centimeters, and 8 inches to centimeters, and finally add the two resulting values.

Given:

The given length value is

Length_(Feet) = 5

Length_(Inches) = 8

Substitution:

Substitute Length_(feet) = 5 in the conversion formula ①.

Length_{(centimeters)} = Length_(feet) / 0.032808398950000005

Length_{(centimeters)} = 5 / 0.032808398950000005

Length_{(Centimeters)} = 152.4 ——③

Substitute Length_(inches) = 8 in the conversion formula ②.

Length_{(centimeters)} = Length_(inches) / 0.3937007874

Length_{(centimeters)} = 8 / 0.3937007874

Length_{(Centimeters)} = 20.32 ——④

Simplification:

Add the two values obtained in steps ③ and ④.

Length_{(Centimeters)} = 152.4 (from feet) + 20.32 (from inches)

Length_{(Centimeters)} = 172.72

Conclusion:

Therefore, given length of 5 feet 8 inches is equal to 172.72 cm.