An online cm and inches conversion calculator is presented along with conversion formulas, step-by-step examples, and practical word problems.
Common symbols and abbreviations:
By international agreement:
\[ 1 \text{ inch} = 2.54 \text{ centimeters} \] \[ 1 \text{ cm} = \left(\frac{1}{2.54}\right) \text{ inches} \approx 0.3937007874 \text{ inches} \]Reference: NIST Reference Guidelines
Enter the number of centimeters or inches to perform conversions with customizable decimal places.
Convert \( 2.1 \, \text{cm} \) to inches and round the answer to 5 decimal places.
Rounding to 5 decimal places gives:
\[ 2.1 \, \text{cm} \approx 0.82677 \, \text{inches} \]Convert \( 4.6 \, \text{inches} \) to cm and round the answer to the nearest cm.
Rounding to the nearest whole centimeter (nearest unit) gives:
\[ 12 \, \text{cm} \]A fence of length \( 600 \, \text{cm} \) is to be constructed using pallets of length \( 48 \, \text{in} \). How many pallets are needed?
First, convert \( 600 \, \text{cm} \) into inches:
\[ 600 \, \text{cm} = 600 \times 0.3937007874 \, \text{in} = 236.22047 \, \text{in} \]The number \( N \) of pallets required is:
\[ N = \dfrac{236.22 \, \text{in}}{48 \, \text{in}} = 4.92125 \]Rounding up to the nearest higher whole number (since pallets come in whole units) gives:
\[ 5 \text{ pallets} \]What is the area, in square centimeters, of a rectangular floor with dimensions \( 220 \, \text{in} \) by \( 150 \, \text{in} \)? Round the answer to the nearest square centimeter.
Convert the dimensions of the floor to centimeters:
\[ L = 220 \, \text{in} = 220 \times 2.54 \, \text{cm} = 558.8 \, \text{cm} \] \[ W = 150 \, \text{in} = 150 \times 2.54 \, \text{cm} = 381 \, \text{cm} \]The area \( A \) of the rectangular floor is given by \( A = L \times W \):
\[ A = 558.8 \, \text{cm} \times 381 \, \text{cm} = 212,902.8 \, \text{cm}^2 \]Rounding to the nearest square centimeter (nearest unit):
\[ A = 212,903 \, \text{cm}^2 \]Convert the volume \( V = 123.5 \, \text{cm}^3 \) into \( \text{in}^3 \) and round to the nearest hundredth of a cubic inch.
By definition, \( 1 \, \text{cm}^3 = 1 \, \text{cm} \times 1 \, \text{cm} \times 1 \, \text{cm} \). Using the conversion factor \( 1 \, \text{cm} = 0.3937007874 \, \text{inches} \):
\[ 1 \, \text{cm}^3 = (0.3937007874 \, \text{in})^3 \approx 0.06102374409 \, \text{in}^3 \]Therefore:
\[ V = 123.5 \times 0.06102374409 \, \text{in}^3 \approx 7.53643 \, \text{in}^3 \]Rounding to the nearest hundredth (two decimal places):
\[ V = 7.54 \, \text{in}^3 \]Convert the volume \( V = 2900 \, \text{in}^3 \) into \( \text{cm}^3 \) and round to the nearest \( \text{cm}^3 \).
By definition, \( 1 \, \text{in}^3 = 1 \, \text{in} \times 1 \, \text{in} \times 1 \, \text{in} \). Using \( 1 \, \text{in} = 2.54 \, \text{cm} \):
\[ 1 \, \text{in}^3 = (2.54 \, \text{cm})^3 = 16.387064 \, \text{cm}^3 \]Therefore:
\[ V = 2900 \times 16.387064 \, \text{cm}^3 = 47,522.4856 \, \text{cm}^3 \]Rounding to the nearest cubic centimeter (nearest unit):
\[ V = 47,522 \, \text{cm}^3 \]