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Convert Cubic Feet To Cubic Inch

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The volume of a three-dimensional shape is defined as the amount of space occupied by it. To put it another way, it is a number that determines the area or region bounded by the shape. Its standard unit of measurement is cubic meters (m3). However, to express larger values of volume, we have to use a metric system that helps in converting the standard units into bigger measurement units such as inches, feet, acre, hectare, etc. As the metric units increase or decrease, the decimal can be changed to a new place value in multiples of ten.

What is the Cubic foot?

A cubic foot equals the volume of a cube whose each side is one foot long. It is denoted by the symbol ft3. 1 cubic foot is written as 1 cu. ft or 1 ft3. It is equal to 0.0283168 cubic meters or 28316.8 cubic centimeters.

What is the Cubic inch?

A cubic inch equals the volume of a cube whose each side is one inch long. It is denoted by the symbol in3. 1 cubic inch is written as 1 cu. in or 1 in3. It is roughly equal to 16.3871 cubic centimeters.

How to Convert Cubic Foot To Cubic Inch? 

The value of 1 cubic foot equals 1728 cubic inches. To convert cubic feet to cubic inches, we have to multiply the given value of cubic feet by a factor of 1728. For example, 15 cubic feet are converted into cubic inches as 15 × 1728 = 25920 cubic inches. 

1 cubic foot = 1728 cubic inches

or

a cubic feet = 1728a cubic inches

The conversion table between these two units is given below:

Cubic foot (ft3)

Cubic inch (in3)

1

1728

2

3456

3

5184

4

6912

5

8640

6

10368

7

12096

8

13824

9

15552

10

17280

Sample problems

Problem 1: Convert 2 cubic feet into cubic inches.

Solution:

We know,

1 cubic foot = 1728 cubic inches

2 cubic feet = 1728 × 2 cubic inches

2 cubic feet = 3456 cubic inches

Problem 2: Convert 12 cubic feet into cubic inches.

Solution:

We know,

1 cubic foot = 1728 cubic inches

12 cubic feet = 1728 × 12 cubic inches

12 cubic feet = 20736 cubic inches

Problem 3: Convert 25 cubic feet into cubic inches.

Solution:

We know,

1 cubic foot = 1728 cubic inches

25 cubic feet = 1728 × 25 cubic inches

25 cubic feet = 43200 cubic inches

Problem 4: Convert 0.78 cubic feet into cubic inches.

Solution:

We know,

1 cubic foot = 1728 cubic inches

0.78 cubic feet = 1728 × 0.78 cubic inches

0.78 cubic feet = 1347.84 cubic inches

Problem 5: Convert 0.91 cubic feet into cubic inches.

Solution:

We know,

1 cubic foot = 1728 cubic inches

0.91 cubic feet = 1728 × 0.91 cubic inches

0.91 cubic feet = 1572.48 cubic inches

Problem 6: Convert 5.74 cubic feet into cubic inches.

Solution:

We know,

1 cubic foot = 1728 cubic inches

5.74 cubic feet = 1728 × 5.74 cubic inches

5.74 cubic feet = 9918.72 cubic inches

Problem 7: Convert 280 cubic feet into cubic inches.

Solution:

We know,

1 cubic foot = 1728 cubic inches

280 cubic feet = 1728 × 280 cubic inches

280 cubic feet = 483840 cubic inches


Last Updated : 06 Jan, 2024
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