Cubic Inches to Cubic Feet Conversion

Young woman in design office working
Bill Oxford / Getty Images
By
Anne Marie Helmenstine, Ph.D.
Anne Marie Helmenstine, Ph.D.
Chemistry Expert
  • Ph.D., Biomedical Sciences, University of Tennessee at Knoxville
  • B.A., Physics and Mathematics, Hastings College
Dr. Helmenstine holds a Ph.D. in biomedical sciences and is a science writer, educator, and consultant. She has taught science courses at the high school, college, and graduate levels.
Learn about our Editorial Process
Updated on August 26, 2018

Converting cubic inches to cubic feet is a common problem. Here is the conversion factor and a worked example.

Conversion Factor

1728 cubic inches = 1 cubic foot

0.000578704 cubic feet = 1 cubic inch

Simple Example

Convert 54.9 cubic inches into cubic feet. You can multiply by the conversion factor:

Directly Above Shot Of Various Work Tools With Blank Paper On Table
Read More
How to Convert Cubic Feet to Cubic Inches
By Anne Marie Helmenstine, Ph.D.

54.9 cubic inches x 0.000578704 cubic feet per cubic inch = 0.0318 cubic feet

or you could simply divide the value in cubic feet by 1728:

54.9 cubic inches / 1728 cubic feet per cubic inch = 0.0318 cubic feet

Worked Example

You measure a box and find it is 12 inches long, 5 inches high, and 3 inches deep. The volume of the box is length x width x height so the volume of the box is:

12 x 5 x 3 = volume in cubic inches

180 cubic inches

Now, to convert this to cubic feet, you know there are 1728 cubic inches in 1 cubic foot:

180 cubic inches x (1 cubic foot / 1728 cubic inches) = volume in cubic feet

180 cubic inches x 0.000578704 cubic feet/cubic inch = volume in cubic feet

0.1042 cubic feet

 

Format
mla apa chicago
Your Citation
Helmenstine, Anne Marie, Ph.D. "Cubic Inches to Cubic Feet Conversion." ThoughtCo, Aug. 27, 2020, thoughtco.com/convert-cubic-inches-to-feet-609392. Helmenstine, Anne Marie, Ph.D. (2020, August 27). Cubic Inches to Cubic Feet Conversion. Retrieved from https://www.thoughtco.com/convert-cubic-inches-to-feet-609392 Helmenstine, Anne Marie, Ph.D. "Cubic Inches to Cubic Feet Conversion." ThoughtCo. https://www.thoughtco.com/convert-cubic-inches-to-feet-609392 (accessed May 1, 2024).