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


in3 to ft3 comparison

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.

in3 to ft3 math step 1

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

in3 to ft3 math step 2

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.

 in3 to ft3 math step 3

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

in3 to ft3 math step 4

4 ft3 = 6,912 in3

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

Other Unit Conversion Example Problems

Leave a Reply

This site uses Akismet to reduce spam. Learn how your comment data is processed.