How to Convert in3 to ft3 – Cubic Inches to Cubic Feet Example

One small cubic inch next to a cubic foot of cubic inches.

Converting inches to feet is a straightforward exercise. Problems can come up when you turn your inches into cubes. These two example problems will show how to convert in³ to ft³ and back again.

The conversion factor between in³ and ft³ is

1728 in³ = 1 ft³

How do you get this value? Start with the conversion between inches and feet.

12 inches = 1 foot

A cubic foot is a cube 1 foot wide, 1 foot tall, and 1 foot deep.

1 ft³ = 1 ft x 1 ft x 1ft

Substitute the conversion factor to get the inch units.

1 ft³ = (12 inches) x (12 inches) x (12 inches)
1 ft³ = 123 in³
1 ft³ = 1728 in³

in³ to ft³ Conversion Example Problem

Question: How many cubic feet are in 25,920 cubic inches?

Solution: Multiply the conversion factor to the 25,920 in³. Put the unit you want to be canceled out in the denominator.

This allows us to cancel out the unnecessary units, leaving only the unit we want.

25,920 in³ = 15 ft³

Answer: 25,920 cubic inches is equal to 15 cubic feet.

ft³ to in³ Conversion Example Problem

Question: How many cubic inches are in 4 cubic feet?

Solution: Multiply the conversion factor to the 4 ft³. Put the unit you want to cancel in the denominator.

Setting it up this way allows us to lose the unwanted ft³ unit.

4 ft³ = 6,912 in³

Answer: There are 6,912 cubic inches in 4 cubic feet.

Other Unit Conversion Example Problems

• Convert cm² to m² Example
• Convert cm³ to m³ Example
• Volume Conversion Example