Cubic inches are the unit of volume that is commonly used to find the volume of a cube, cylinder, or sphere in different countries. One cubic inch is equal to the volume of a cube that measures one inch on each side of the cube.
It is commonly used to measure the displacement of engines of cars and other vehicles moreover the volume of likely small objects. Measuring an object’s length, breadth, and height in inches and multiplying those numbers together will yield the answer in cubic inches for the volume of the object.
In this article, we will discuss the definition of cubic inches, the technique to find it, and its application in different fields. Moreover, solving the different examples for a better understanding of the idea of cubic inches.
What is the cubic inch?
The volume of a cube measured in cubic inches is equal to the volume of a cube when the sides are measured at one inch each. It is a measuring unit that is frequently used in the United States.
Specifically used for measuring the displacement of internal combustion engines and the volume of small objects. The symbol for cubic inches is “in³” or “cu in”.
Volume in Cubic Inches Formula
Volume = L (in) x W (in) x H (in)
Volume = (cubic inches)
Where,
- L = Length of a cube
- W = Width of the cube
- H = Height of the cube
Technique to evaluate the volume in cubic inches
To find the volume of an object in cubic inches, you need to measure the length, width, and height in inches and then multiply these three measurements together. You can also get help from a cubic inches calculator to find the volume in cubic inches in a couple of seconds.
To find the volume in cubic inches manually follow the below steps.
- Measure the length, width, and height of the object in inches and if not given in inches then firstly convert them into inches by using the mathematical technique (i.e. one foot = 12 inches).
- Multiply the length by the width and then by the height.
- The outcome of the object’s volume in cubic inches.
For example, if a rectangular prism has dimensions of 3 inches long, 2 inches wide, and 4 inches high then calculate its volume in cubic inches.
- First, the rectangular prism’s length, width, and height are measured in inches.
Length = 3 inches, Width = 2 inches, Height = 4 inches.
- Multiply the length by the width and then with the height.
3 inches x 2 inches x 4 inches = 24 cubic inches.
- The rectangular prism has a 24 cubic inches capacity.
As a result, the prism’s volume is 24 cubic inches.
Application of Cubic inches:
It is used to measure the volume of small objects such as computer hard drives, bottles, and boxes.
· Engine displacement: The cubic inch is commonly used to express the size or displacement of an engine of American-made cars, motorcycles, and other vehicles. Engine displacement refers to the total volume of all the cylinders in an internal combustion engine.
· Packaging: The cubic inch is used to determine the volume of small objects that are packed in boxes, such as electronic components, tools, and hardware. It is also used in the shipping industry to calculate the volume of cargo that can be loaded into a shipping container.
· Building materials: The cubic inch is used in the construction industry to determine the volume of materials needed for a project, such as concrete, gravel, or sand.
· Food industry: The cubic inch is used to determine the volume of food products, such as cheese, butter, and ice cream. It is also used in the baking industry to calculate the volume of ingredients needed for recipes.
Examples
In this section, we will perform different examples to find the volume in cubic inches.
Example 1:
Find the volume of the prism in cubic inches if its length is 5 inches, its width is 7 inches, and its height is 9 inches.
Solution:
Step 1:
Write the given data carefully from the above conditions.
Length = 5 inches
Width = 7 inches
Height = 9 inches
Volume (cubic inches) =?
Step 2:
Write the formula of the volume for the prism in cubic inches.
Volume = L (in) x W (in) x H (in)
Step 3:
Put the values in the above formula carefully and simplify.
Volume = 5 in x 7 in x 9 in
Volume = 315 in3
Example 2:
Find the volume of the cube in cubic inches if its length is 12 inches, its width is 13 inches, and its height is 19 inches.
Solution:
Step 1:
Write the given data carefully from the above conditions.
Length = 12 inches, Width = 13 inches, Height = 19 inches, Volume (cubic inches) =?
Step 2:
Write the formula of the volume for a cube in cubic inches.
Volume = L (in) x W (in) x H (in)
Step 3:
Put the values in the above formula carefully and simplify.
Volume = 12 in x 13 in x 19 in
Volume = 2964 in3
Summary
In this article, we discussed the definition, basic formula of volume, and techniques to find it. Moreover, solved different examples to understand the concept of cubic inches.
By the proofreading of this article, you are able to solve the related problems.
