Cubic Feet to Cubic Inches Converter

Volume · unit-converter

Convert Cubic Feet to Cubic Inches with a fixed input and output unit, step-by-step formula line, and reference tables. All calculations use liter-based factors (US fluid measures, imperial UK units, SI cubic meters).

Calculator

From: Cubic Feet (ft3)

To: Cubic Inches (in3)

About Cubic Feet

The cubic feet is the volume of a cube one feet on a side (about 28.3168 liters). HVAC, construction, and US freight sometimes use cubic feet.

About Cubic Inches

The cubic inch is the volume of a cube one inch on a side. Engine displacement in the US and small volumes in machining use cubic inches.

How to convert cubic feet to cubic inches

1 cubic feet is equal to 1728 cubic inches:

1 ft3 = (28.316846592 L ÷ 0.016387064 L) in3 = 1728 in3

Each cubic feet is defined as 28.316846592 L and each cubic inches as 0.016387064 L, so one ft3 equals 28.316846592 ÷ 0.016387064 in3 = 1728 in3.

Let V(ft3) be the numeric value of the same volume measured in Cubic Feet (ft3), and V(in3) the value in Cubic Inches (in3). Then:

V(in3) = V(ft3) × (28.316846592 / 0.016387064)

Equivalently, divide by how many ft3 fit into one in3 (liters per in3 divided by liters per ft3):

V(in3) = V(ft3) ÷ 0.0005787037037

Or: cubic inches = cubic feet ÷ 0.0005787037037

Examples

Example #1: Convert 20 ft3 to cubic inches

20 ft3 = 20 ft3 × (28.316846592/0.016387064) in3 = 34560 in3

20 ft3 = 20 ft3 ÷ 0.0005787037037 = 34560 in3

Example #2: Convert 50 ft3 to cubic inches

50 ft3 = 50 ft3 × (28.316846592/0.016387064) in3 = 86400 in3

50 ft3 = 50 ft3 ÷ 0.0005787037037 = 86400 in3

Summary

To convert Cubic Feet to Cubic Inches, multiply the value in ft3 by the ratio of liters per ft3 divided by liters per in3. Equivalently: value_in3 = value_ft3 × (28.316846592 / 0.016387064). Numerically, 1 ft3 equals 1728 in3.

Relationship context

Both units are US customary fluid / volume in this tool’s grouping. Conversions use fixed liter equivalents, so factors are consistent for cooking, engineering, and cross-checking labels. The factor from Cubic Feet to Cubic Inches is 1.728000e+3 (1 ft3 = 1728 in3).

Conversion tables

Cubic Feet (ft3)Cubic Inches (in3)
0.1172.8
11,728
23,456
35,184
46,912
58,640
610,368
712,096
813,824
915,552
Cubic Feet (ft3)Cubic Inches (in3)
1017,280
2034,560
3051,840
4069,120
5086,400
60103,680
70120,960
80138,240
90155,520
100172,800

Conversions outside the hub list

The grid on the category page lists hub units only. These pairs include at least one unit outside that hub set (same tools: formulas and tables on each page).