Cubic Inches to Cup (UK) Converter
Volume · unit-converter
Convert Cubic Inches to Cup (UK) 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 Inches (in3)
To: Cup (UK) (ukcup)
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.
About Cup (UK)
The UK metric cup is often taken as 250 ml in modern recipes, though traditional imperial cups differ; this converter uses the liter-based UK cup factor from the shared table.
How to convert cubic inches to cups (uk)
1 cubic inches is equal to 0.05767440239854 cup (uk):
1 in3 = (0.016387064 L ÷ 0.284130625 L) ukcup = 0.05767440239854 ukcup
Each cubic inches is defined as 0.016387064 L and each cup (uk) as 0.284130625 L, so one in3 equals 0.016387064 ÷ 0.284130625 ukcup = 0.05767440239854 ukcup.
Let V(in3) be the numeric value of the same volume measured in Cubic Inches (in3), and V(ukcup) the value in Cup (UK) (ukcup). Then:
V(ukcup) = V(in3) × (0.016387064 / 0.284130625)
Equivalently, divide by how many in3 fit into one ukcup (liters per ukcup divided by liters per in3):
V(ukcup) = V(in3) ÷ 17.33871454947634
Or: cup (uk) = cubic inches ÷ 17.33871454947634
Examples
Example #1: Convert 20 in3 to cup (uk)
20 in3 = 20 in3 × (0.016387064/0.284130625) ukcup = 1.153488048 ukcup
20 in3 = 20 in3 ÷ 17.33871454947634 = 1.153488048 ukcup
Example #2: Convert 50 in3 to cup (uk)
50 in3 = 50 in3 × (0.016387064/0.284130625) ukcup = 2.8837201199 ukcup
50 in3 = 50 in3 ÷ 17.33871454947634 = 2.8837201199 ukcup
Summary
To convert Cubic Inches to Cup (UK), multiply the value in in3 by the ratio of liters per in3 divided by liters per ukcup. Equivalently: value_ukcup = value_in3 × (0.016387064 / 0.284130625). Numerically, 1 in3 equals 0.057674402398544676 ukcup.
Relationship context
You are converting between US customary fluid / volume (Cubic Inches) and UK imperial fluid / volume (Cups (UK)). US and UK fluid measures differ (gallons, ounces, tablespoons); metric liters and cubic meters align with SI. The numeric factor used here is 5.767440e-2.
Conversion tables
| Cubic Inches (in3) | Cup (UK) (ukcup) |
|---|---|
| 0.1 | 0.0057674402 |
| 1 | 0.0576744024 |
| 2 | 0.1153488048 |
| 3 | 0.1730232072 |
| 4 | 0.2306976096 |
| 5 | 0.288372012 |
| 6 | 0.3460464144 |
| 7 | 0.4037208168 |
| 8 | 0.4613952192 |
| 9 | 0.5190696216 |
| Cubic Inches (in3) | Cup (UK) (ukcup) |
|---|---|
| 10 | 0.576744024 |
| 20 | 1.153488048 |
| 30 | 1.730232072 |
| 40 | 2.3069760959 |
| 50 | 2.8837201199 |
| 60 | 3.4604641439 |
| 70 | 4.0372081679 |
| 80 | 4.6139521919 |
| 90 | 5.1906962159 |
| 100 | 5.7674402398 |