An online cm and inches conversion calculator is presented. Problems involving convertion of centimeters and inches are included.
The following symbols and abbreviations are used to denote centimeters and inches
1 centimeter may be written as 1 cm
1 inch may be written as 1 in or 1"
1 inch = 2.54 centimeters.
1 cm = (1/2.54) inches = 0.3937007874 inches
Example 1 - Convert a 2.1 cm to inches and round answer to 5 decimal places
2.1 cm = 2.1 × 0.3937007874 inches = 0.82677165354 inches
Round to 4 decimal places
2.1 cm = 0.82677 inches
Example 2 - Convert 4.6 inches to cm and round answer to the nearest cm
4.6 inches = 4.6 × 2.54 cm = 11.684 cm
Round to the nearest cm means round to the nearest unit
4.6 inches = 12 cm
Enter the number of centimeters (cm) and inches (in) to be converted and convert.
Problem 1
A fence of length 600 cm is to be constructed using pallets of length 48 in. How many pallets are needed?
Solution
First convert 600 cm into inches
600 cm = 600 × 0.3937007874 in = 236.22 in
The number N of pallets is given by
N = 236.22 in / 48 in = 5 , rounded to the nearest higher whole number
Note that the result above was rounded to the nearest higher whole number as the number of pallets is a whole number.
Problem 2
What is the area, in square centimeters, of a rectangular floor of dimensions 220 in by 150 in? Round the answer to the nearest square centimeter.
Solution
Convert the dimensions of the floor to cm.
L = 220 in = 220 × 2.54 cm = 558.8 cm
W = 150 in = 150 × 2.54 cm = 381 cm
The area A the rectangular floor, in square centimeters, is given by
A = W × W = 558.8 cm × 381 cm = 212902.8 cm2
Round to the nearest square cm means round to the nearest unit.
A = 212903 cm2
Problem 3
Convert the volume V = 123.5 cm3 into in3 and round to the nearest hundredth of an in3.
Solution
By definition
1 cm3 = 1 cm × 1 cm × 1 cm
Use the conversion factor: 1 cm = 0.3937007874 inches to write
1 cm3 = 0.3937007874 inches × 0.3937007874 inches × 0.3937007874 inches = 0.06102374409 inches3
Hence
V = 123.5 cm3 = 123.5 × 0.06102374409 inches3 = 7.54 inches3
Note that the result above was rounded to the nearest hundredth of a cubic inch which corresponds to two decimal places.
Problem 4
Convert the volume V = 2900 in3 into cm3 and round to the nearest cm3.
Solution
By definition
1 in3 = 1 in × 1 in × 1 in
Use the conversion factor: 1 in = 2.54 cm to write
1 in3 = 2.54 cm × 2.54 cm × 2.54 cm = 16.387064 cm3
Hence
V = 2900 in3 = 2900 × 16.387064 cm3 = 47522.4856 cm3
Round to the nearest cm3 means round to the nearest unit.
V = 47522 cm3
