# Convert Cubic Inches to Cubic Feet (in³ to ft³)

• Last Updated : 02 Nov, 2022

A cubic foot and a cubic inch are units of measurement of unit volume. A mathematical quantity that describes the amount of space enclosed by a three-dimensional-shaped object is defined as volume. The 3D object can be a cube, a cuboid, a cone, a cylinder, etc. The volume of an object is also known as the capacity that is measured in terms of cubic units such as m3, cm3, ft3, yd3, in3, etc. cubic meter, or m3, is the SI unit for volume. For example, the capacity of a three-dimensional object is the amount of fluid that it can hold.

## Cubic Inches

A cubic inch is a unit of measurement of volume which is represented as in3. It represents the volume of a cube with measurements of one inch long, one inch wide, and one inch deep. A cubic inch is a unit that measures unit volume in the Imperial and United States customary systems of measurement. It can also be written as in3 and cu. in. The value of one cubic inch is equal to 16.387064 cm3, 0.00001639 m3, 0.0005787037 cubic feet, and 0.004329 US gallons.

1 cubic inch = 1 in × 1 in × 1 in

1 cubic inch ≈ 0.0005787037 cubic feet

## Cubic Foot

A cubic foot is a unit of measurement of volume which is represented as ft3. It represents the volume of a cube with measurements of one foot long, one foot wide, and one foot deep. A cubic foot is a unit that measures unit volume in the Imperial and United States customary systems of measurement. It can also be written as ft3 and cu. ft. The value of 1 cubic foot is equal to 28316.8466 cm3, 0.02831685 m3, 28.3168 L, 1728 in3, and 7.48052 US liquid gallons.

1 cubic foot = 1 ft × 1 ft × 1ft

1 cubic foot = 1728 cubic inches

## How to Convert Cubic Inches to Cubic Feet?

1 cubic inch ≈ 0.0005787037 cubic feet

The value of 1 cubic inch is approximately equal to 0.0005787037 cubic feet. So, to convert cubic inches to cubic feet, we have to multiply the given foot value by 0.0005787037 cubic feet or divide it by 1/1728 cubic feet.

For example,

To convert 105 cubic inches into cubic feet, multiply 15 by 0.0005787037 cubic feet or divide it by 1/1728 cubic feet, i.e.,

105 cubic inches = 105 × 0.0005787037 cubic feet

105 cubic inches = 0.0607638885 cubic feet ≈ 0.0608 cubic feet

(or)

105 cubic inches = 105/1728 cubic feet

105 cubic inches = 0.0607638888888889 ≈ 0.0608 cubic feet

Therefore, the value of 105 cubic inches is approximately equal to 0.0608 cubic feet.

## Solved Examples based on converting cubic inches to cubic feet

Problem 1: Convert 0.05 cubic feet to cubic inches.

Solution:

We know that

1 cubic foot = 1728 cubic inches

Hence,

0.05 cubic feet = 0.05 × 1728 cubic inches

0.05 ft3 = 86.4 in3

Therefore, 0.05 cubic feet is equal to 86.4 cubic inches.

Problem 2: Convert 250 cubic inches to cubic feet.

Solution:

We know that

1 cubic inch ≈ 0.0005787037 cubic feet

Hence,

250 cubic inches = 0.25 × 0.0005787037 cubic feet

250 in3= 0.144675925 ft3 ≈ 0.1447 ft3

Therefore, 250 cubic inches is approximately equal to 0.1447 cubic feet.

Problem 3: Convert 0.825 cubic feet to cubic inches.

Solution:

We know that

1 cubic foot = 1728 cubic inches

Hence,

0.05 cubic feet = 0.05 × 1728 cubic inches

0.05 ft3 = 86.4 in3

Therefore, 0.05 cubic feet is equal to 86.4 cubic inches

Problem 4: Convert 380 cubic inches to cubic feet.

Solution:

We know that

1 cubic inch ≈ 0.0005787037 cubic feet

Therefore,

380 cubic inches = 380 × 0.0005787037 cubic feet

380 in3= 0.219907406 ft3 ≈ 0.220 ft3

Therefore, the value of 380 cubic inches is approximately equal to 0.220 cubic feet.

Problem 5: Convert 12 cubic feet to cubic inches.

Solution:

We know that

1 cubic foot = 1728 cubic inches

Therefore,

12 cubic feet = 12 × 1728 cubic inches

12 ft3 = 20,736 in3

Hence, the value of 12 cubic feet is equal to 20,736 cubic inches.

Problem 6: Convert 138 cubic inches to cubic feet.

Solution:

We know that

1 cubic inch ≈ 0.0005787037 cubic feet

Therefore,

138 cubic inches = 138 × 0.0005787037 cubic feet

138 in3= 0.0798611106 ft3 ≈ 0.0799 ft3

Therefore, the value of 138 cubic inches is approximately equal to 0.0799 cubic feet.

Question 1: How to convert cubic feet to cubic meters?

To convert cubic feet to cubic meters, we need to multiply the given value of cubic feet by 0.0283168466 and cubic meters are obtained.

Question 2: What is the relation between cubic feet and cubic meters?

The relationship between cubic feet and the cubic meter is given as follows:
1 ft3 = 0.0283168466 m3
1 m3 = 35.31466672 ft3

Question 3: What is the relation between cubic meters and liters?