cm to Feet & Inches ~ Science Flare

Formula to convert cm to feet & inches

\begin{array}{rclcc} 1 inch & = & 2.54 cm \\ 1 cm & = & \frac{1}{2.54} inch \\ n cm & = & n \times \frac{1}{2.54} inches \\ 12 inches & = & 1 feet \\ n inches & = & n \times \frac{1}{12} feet \\ ∴ n cm & = & n \times \frac{1}{2.54} inches & = & n \times \frac{1}{2.54} \times \frac{1}{12} feet \end{array}

For example :-

\begin{array}{rclrcl} 168 cm & = & 168 \times \frac{1}{2.54} \times \frac{1}{12} feet \\ = & 5.511 feet \\ 5.511 feet & = & (5 + 0.511) feet \\ = & 5 feet + 0.511 \times 12 inches & ∵ 1 feet & = & 12 inches \\ ∴ 0.511 feet & = & 0.511 \times 12 inches \\ = & 5 ft, 6.1 inches \end{array}

So, 168 cm is 5 feet and 6 inches.