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# Cubic Inches to Cubic Centimeters

• Last Updated : 31 Oct, 2022

Cubic Inches to Cubic Centimeter conversion is widely used in mathematics. A cubic centimeter and cubic inches are the units of measurement of volume. Volume is a mathematical quantity that is used to measure the amount of three-dimensional space that is occupied by a three-dimensional object. The volume of an object is usually measured by using SI-derived units such as cubic meters and liters and different imperial units such as cubic inches, cubic yards, pints, gallons, etc.

Generally, while solving some problems, we need to convert units. For example, you are asked to find the volume of a cubical container in liters, and its side length is given in inches. So, after calculating the volume of the container, we have to convert the obtained volume in cubic inches to liters. Before converting one unit to the other, we need to understand the relationship between the units. In this article, we will discuss the conversion of cubic yards to cubic centimeters.

## Cubic Inches (in3)

A cubic inch is an Imperial or U.S. customary unit of measurement of volume, which is represented as in3. It is the volume of a cube with measurements of one inch long, one inch wide, and one inch deep. One cubic inch can be written symbolically as 1 cu. in or 1 in3. One cubic inch is equal to 16.387064 cubic centimeters, 0.00001639 cubic meters, 0.016387064 liters, 0.0005787037 cubic feet, 0.00010307 oil barrels, and 0.00432900 US liquid gallons.

From the definition of one cubic inch,

1 cubic inch = 1 in × 1 in × 1 in

1 cubic inch = 16.3871 cubic centimeter

## Cubic Centimeter (cc or cm3)

A cubic centimeter is an SI-derived unit of measurement of volume, which is represented as cm3. It is the volume of a cube with measurements of one centimeter long, one centimeter wide, and one centimeter deep. One cubic centimeter can be written symbolically as 1 cu. cm or 1 cm3 or 1 cc. One cubic centimeter is equal to 0.001L, 1 milliliter, 0.06102375 cubic inches, 0.00003531 cubic feet, 0.00000131 cubic yards, 0.00000629 oil barrels, 0.00026417 US gallons, and 0.00211338 US pints.

From the definition of one cubic centimeter,

1 cubic centimeter = 1 cm × 1 cm × 1 cm

1 cubic centimeter = 0.0610237 cubic inches

## How to Convert Cubic Inches to Cubic Centimeters?

The value of one cubic inch is equal to 16.387064 cubic centimeters. So, to convert cubic inches to cubic centimeters, we need to multiply the given cubic inch value by 16.387064, i.e.,

1 Cubic inch = 16.387064 cubic centimeters

n × 1 Cubic inch = n × 16.387064 cubic centimeters

Example: Convert 4.56 cubic inches into cubic centimeters.

Solution:

Multiply 4.56 by a factor of 16.387064 to change it into cubic centimeters
i.e., 4.56 cubic inches = 4.56 × 16.387064 cubic centimeters.

4.56 cubic inches = 74.72501184 cubic centimeter ≈ 74.725 cubic centimeters

Thus, the value of 4.56 cubic inches is approximately equal to 74.725 cubic centimeters.

## Solved Example on Cubic Inches to Cubic Centimeter

Example 1: Convert 56 cubic inches into cubic centimeters.

Solution:

We know that,

1 cubic inch = 16.387064 cubic centimeters

Therefore,

56 cubic inch = 56 × 16.387064 cc

56 in3 = 917.675584 cc ≈ 917.676 cubic centimeters

Therefore, the value of 56 cubic inches is approximately equal to 917.676 cubic centimeters.

Example 2: Convert 1.07 cubic inches into cubic centimeters.

Solution:

We know that,

1 cubic inch = 16.387064 cubic centimeters

Therefore,

1.07 cubic inch = 1.07 × 16.387064 cc

1.07 in3 = 17.53415848 cc ≈ 17.5342 cubic centimeters

Therefore, the value of 1.07 cubic inches is approximately equal to 17.5342 cubic centimeters.

Example 3: Convert 23.49 cubic centimeters into cubic inches.

Solution:

We know that,

1 cubic centimeter = 0.0610237 cubic inches

Therefore,

23.49 cubic centimeter = 23.49 × 0.0610237 cubic inches

23.49 cm3 = 1.43344671 cubic inches ≈ 1.43 cubic inches

Therefore, the value of 23.49 cubic centimeter is approximately equal to 1.43 cubic inches.

Example 3: Convert 65 cubic centimeters into cubic inches.

Solution:

We know that,

1 cubic centimeter = 0.0610237 cubic inches

Therefore,

65 cubic centimeter = 65 × 0.0610237 cubic inches

65 cm3 = 3.9665405 cubic inches ≈ 3.97 cubic inches

Therefore, the value of 65 cubic centimeter is approximately equal to 3.97 cubic inches.

Example 5: Convert 58.75 cubic inches into cubic centimeters.

Solution:

We know that,

1 cubic inch = 16.387064 cubic centimeters

Therefore,

58.75 cubic inch = 58.75 × 16.387064 cc

58.75 in3 = 962.74001 cc ≈ 962.74 cubic centimeters

Therefore, the value of 58.75 cubic inches is approximately equal to 962.74 cubic centimeters.

## FAQs on Cubic Inches to Cubic Centimeter

Question 1: What is meant by the conversion of units?

In mathematics, while solving some problems, we need to convert units so that the calculations can be carried out. For example, you are asked to find the volume of a cubical container in liters, and its side length is given in inches. So, after calculating the volume of the container, we have to convert the obtained volume in cubic inches to liters.

Question 2: What is the relation between cubic centimeters and liters?

The relationship between cubic centimeters to liters is given as follows:

• 1 cubic inch = 16.387064 cubic centimeters
• 1 cubic centimeter = 0.06102375 cubic inches

Question 3: How to convert cubic inches into cubic centimeters?

To convert cubic inches to cubic centimeters, we need to multiply the given cubic inch value by 16.387064, i.e.,

1 Cubic inch = 16.387064 cubic centimeters

n × 1 Cubic inch = n × 16.387064 cubic centimeters

Question 4: What is a cubic inch?