# Feet (ft) and Centimeters (cm) Conversion Calculator

An online inches and centimeters conversion calculator is presented. Problems involving convertion of inches and centimeters are included.

Foot and feet (which is the plural of foot), inches and centimeters may be abbreviations as follows

1 foot may be written as 1 ft or using the single prime 1 '

2 feet (plural of foot) may be written as 2 ft or 2 '

1 inch may be written as 1 in or using the double prime 1 "

1 centimeter may be written as 1 cm

## Conversion Formula of Feet and Inches to Centimeters [1]

1 inch = 2.54 centimeters.

1 foot = 12 inches = 12 × 2.54 centimeters = 30.48 centimeters

1 cm = ( 1 / 2.54 ) inch

1 cm = ( 1 / 30.48 ) feet

## Examples of Conversion

Example 1 - Convert 3'11" to cm and round answer to 1 decimal place

Note that 3'11" = 3 feet + 11 inches

Hence

3'11" = 3 × 30.48 cm + 11 × 2.54 cm = 119.38 cm

Round to 1 decimal place

3'11" = 119.4 cm

Example 2 - Convert 78.6 cm to feet and inches and round to the nearest inch

78.6 cm = 78.6 * ( 1 / 30.48 ) feet = 2.57874015748 feet

2.57874015748 feet may be written as

2.57874015748 feet = 2 feet + 0.57874015748 feet

Convert the decimal part to inches knowing that 1 foot = 12 inches

2.57874015748 feet = 2 feet + 0.57874015748 × 12 in = 2 ft 6.94488188976 in

Round to the nearest inch

78.6 cm = 2 ft 7 in

## Use of Conversion Calculator

Enter the number of ft (and inches) or cm to be converted and convert.

## Problems Involving feet, inches and cm Conversions

Problem 1

A fence of length 70 ft 8 in is to be constructed using pallets of length 3 ft 6 in. How many pallets are needed?

Solution

First convert the length of the fence to cm

70 ft 8 = 70 × 30.48 + 8 × 2.54 = 2153.92 cm

Convert the length of the pallet to cm

3 ft 6 in = 3 × 30.48 + 6 × 2.54 = 106.68 cm

The number N of pallets needed are given by

N = ( length of fence ) / ( length of one pallet )

N = ( 2153.92 cm ) / ( 106.68 cm ) = 20.1904761905

Note that the number of pallets must be the nearest higher whole number to 20.1904761905. Hence

N = 21 pallets are needed.

Problem 2

What is the area of a rectangular floor of dimensions 540 cm by 340 cm in square inches? Round the answer to the nearest tenth of a square inch.

Solution

Convert the dimensions of the floor to inches.

L = 540 cm = 540 × 0.3937007874 in = 212.598425196 in

W = 340 cm = 340 × 0.3937007874 in = 133.858267716 in

The area A the rectangular floor, in square inches, is given by

A = W × W = 212.598425196 in × 133.858267716 in = 28458.1 in^{2}

Note that the result above was rounded to the nearest tenth of a square inch which corresponds to one decimal place .

Problem 3

Convert the volume V = 123.5 cm^{3} into in^{3} and round to the nearest hundredth of a in^{3}.

Solution

By definition

1 cm^{3} = 1 cm × 1 cm × 1 cm

Use the conversion factor: 1 cm = 0.3937007874 inches to write

1 cm^{3} = 0.3937007874 inches × 0.3937007874 inches × 0.3937007874 inches = 0.06102374409 inches^{3}

Hence

V = 123.5 cm^{3} = 123.5 × 0.06102374409 inches^{3} = 7.54 inches^{3}

Note that the result above was rounded to the nearest hundredth of a cubic inch which corresponds to two decimal places.

### More References and links

- www.nist.gove.pdf
- Online Calculators
- Units Conversion and Calculators
- Geometry Calculators