Convert Cubic Foot to Cubic Inch
Use this cubic foot to cubic inch converter to switch ft³ to in³ instantly. Ideal for construction takeoffs, shipping boxes, aquariums, and DIY projects where you need a quick, accurate volume breakdown.
How to Convert Cubic foot to Cubic inch
Multiply cubic feet by 1728 because 1 ft³ equals 1728 in³ (12 × 12 × 12). Example: 2.5 ft³ × 1728 = 4320 in³, so a 2.5 cubic foot box holds 4,320 cubic inches.
Conversion Formula:
value * 1728Understanding the Conversion
Converting cubic foot to cubic inch is straightforward once you know the relationship between these volume units. Since one cubic foot contains 1728 cubic inch units, you multiply the number of cubic foot by 1728 to get your answer.
This conversion comes up frequently in everyday situations. Whether you're planning, tracking, or working on calculations, knowing how to convert between cubic foot and cubic inch is useful. The conversion factor of 1728 is constant and reliable for all calculations.
Conversion Examples
Example: Convert 3 cubic foot to cubic inch
- Step 1: Identify the conversion factor. Since 1 cubic foot = 1728 cubic inch, the conversion factor is 1728.
- Step 2: Multiply 3 cubic foot by 1728.
- Step 3: 3 × 1728 = 5184 cubic inch
3 cubic foot = 5184 cubic inch
This shows the basic conversion process using a whole number.
Example: Convert 10 cubic foot to cubic inch
- Step 1: Conversion factor: 1 cubic foot = 1728 cubic inch.
- Step 2: 10 cubic foot × 1728
- Step 3: Result = 17280 cubic inch
10 cubic foot = 17280 cubic inch
This demonstrates the conversion with a larger value.
Conversion Formula
The formula to convert cubic foot to cubic inch is:
cubic foot × 1728 = cubic inch
Mathematically, you can write this as:
cubic foot × 1728 cubic inch/cubic foot = cubic inch
The cubic foot units cancel out, leaving you with cubic inch.
Conversion Chart
| Cubic foot | Cubic inch |
|---|---|
| 1 | 1728 |
| 2 | 3456 |
| 3 | 5184 |
| 4 | 6912 |
| 5 | 8640 |
| 6 | 10368 |
| 7 | 12096 |
| 8 | 13824 |
| 9 | 15552 |
| 10 | 17280 |
| 15 | 25920 |
| 20 | 34560 |
| 30 | 51840 |
Quick Conversion Tip
Quick conversion: Multiply cubic foot by 1728 to get cubic inch. For example, 1 cubic foot = 1728 cubic inch, 2 cubic foot = 3456 cubic inch, 5 cubic foot = 8640 cubic inch.
Unit Definitions
Cubic Foot (ft³)
A cubic foot is a US customary and imperial volume unit defined by a cube that measures one foot on each side.
1 cubic foot = 1728 cubic inches = 28.3168 liters ≈ 7.48052 US gallons
Cubic Inch (in³)
A cubic inch is the volume of a cube with each edge measuring one inch. It is common in small-scale engineering and product dimensions.
1 cubic inch = 0.0163871 liters ≈ 0.004329 US gallons
Common Use Cases
- Education: Transform cubic foot to cubic inch for volume calculations in studies and assignments
- Manufacturing: Convert cubic foot to cubic inch for volume specifications in production processes
- Construction: Use cubic foot to cubic inch conversion when working with volume measurements in building projects
- Calculations: Convert cubic foot to cubic inch when working with volume measurements in different units
- Engineering: Convert cubic foot to cubic inch when working on projects with specific volume requirements
- Scientific work: Use cubic foot to cubic inch conversion in experiments requiring precise volume measurements
- Business: Convert cubic foot to cubic inch for volume calculations in business and commerce