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What is a cubic foot? Its definition, calculations, and conversion

The term “cubic feet” or “isometric feet” is commonly used all over the world, and it is widely used in the field of engineering and construction. This term is made up of two terms “cube” and “foot”, the “foot” is a unit of measurement, whereas the cube represents the multiple of three.

A cubic foot (cu ft. or cubic ft.) is an imperial unit of dimension for the 3-dimensional shape. Contractors routinely use cubic feet, cubic meters, and cubic yards in making and renovating projects to calculate the total amount of materials, like sand or concrete, they may want to finish a task.

In this article, we will discuss the basic definition of the term “cubic foot” after that we will elaborate on the calculations and conversions.  

Definition of the cubic foot:

The cubic foot (symbol ft3 or cu ft.) is an imperial and US customary (non-metric) volume unit used in the United States and the United Kingdom. 

Formula: 

The following formula is generally used to calculate the volume in cubic feet. 

Volume (Cubic feet) = Length (feet) * dimension (feet) * Height (feet)

Conversions:  

Some of the times the dimensions are given in a unit other than the cubic feet so the following conversions will help you a lot to convert the given quantity in cubic feet. 

·       Yards into cu ft: 

By using the following formula, we can convert the data into cubic feet if the values are given in yards. What you have to do is simply take the product of the dimensions and then t multiply the product by “27”

Formula:

Product of dimensions = Length (in yards) * Width (in yards) * Height (in yards)

Product of dimensions * 27 = answer (in cubic feet)

·       Centimeters to cu ft: 

If you have the dimension in centimeters, take the product of the quantities and then divide it by 28316.846, then you’ll get the answer in cu ft.

Formula:

Product of dimensions = Length (in cm) * Width (in cm) * Height (in cm)

Product of dimensions / 28316.846 = answer (in cubic feet)  

·       Meters to cu ft:

If the parameters are given in meters, take the product of the quantities and multiply it by 35.315

Formula:

Product of parameters = Length (in m) * Width (in m) * Height (in m)

Product of parameters * 35.315 = answer (cubic feet)

Now we’ll discuss the conversions from cubic feet into other cubic units.

·       Cubic feet to cubic inches:

1 cu ft. is equal to 1728 cubic inches, if you want to convert the answer into cubic inches, you just have to multiply the answer by 1728 and you’ll get the answer in cubic inches. 

·       Cubic feet to cubic yards:

1 Cubic foot = Cubic yards / 27

OR

1 ft3 = 0.037037 yd3

To convert cu ft to yd3, multiply the calculated result by 0.037037.

·       Cubic feet to cubic meters: 

One cubic foot = 0.02832 m3

1 cubic meter = 35.3147 cubic feet

If you want to convert the calculated volume (cubic feet) into cubic meters, simply multiply it by 0.02832

Examples section:

The example section comprises two subsections. In the first section, we will study the simple problems, but in the second section, we will discuss the problems in which the parameters are not in feet.

Section I:

If the parameters are in feet. 

Example 1:

Calculate the volume of a container having a height of 14 feet, a length of 32 feet, and a dimension of 38 feet. 

Solution:

Step 1: Extract the data.  

Height = 14 ft

Length = 32 feet

Dimension = W = 38 feet

Formula: 

Volume (Cubic feet) = Length (feet) * dimension (feet) * Height (feet)

Step 2: Putting the given parameters in the above formula 

Volume = (32) * (38) * (14)

Volume = 17024 ft3

 

Example 2:

An examination hall has a height of 30 ft., Length of 90 ft., and width of 50 ft. Calculate its volume in cubic feet.

Solution: 

Length= 90 ft.

Height= 30 ft.  

Width= 50 ft.  

Formula: 

Volume (Cubic feet) = Length (feet) * dimension (feet) * Height (feet)

Volume = 90 ft. * 50 ft. * 30 ft.  

 Volume = 135000 ft3   

To get rid of these lengthy calculations, you can get assistance from the cubic feet calculator and can get a detailed solution to the problem. 


Section II:

The problems in which the given data is not in feet are discussed in this section.

Example 1:

A gigantic ludo dice has a dimension of 0.7 meters. What will be its volume?

Solution:

Step 1: Extract the data

As the dimension of the dice is 0.7 meters, and the dice is a regular cube, so the length and height will be the same as the dimension.   

Step 2: Conversion 

To convert meters into feet, multiply the value by “3.281”.

Length = 0.7 * 3.281 = 2.296 ft.

Width = 0.7 * 3.281 = 2.296 ft. 

Height = 0.7 * 3.281 = 2.296 ft. 

Step 3: Insert the values in the formula. 

Volume = Length (feet) * dimension (feet) * Height (feet)

Volume = 2.296* 2.296* 2.296

Volume = 12.11 ft

Alternative method:

Step 1:

Length = 0.7 meters

Width = 0.7 meters  

Height = 0.7 meters  

Step 2: Insert the values in the following formula

Length (meters) * width (meters) * height (meters) * 35.315

Volume = 0.7 * 0.7 * 0.7 * 35.315

Volume = 0.343 * 35.315 ft3

 Volume = 12.11 ft3

Summary: 

In this article, we have discussed the basic definition of the term cubic feet. We have also discussed its main applications. We have studied the conversions and calculations that can help you to solve daily life problems related to cubic feet.

In the example section, we have provided detailed step-by-step solutions, now you are able to tackle the daily life obstacles related to this term. 


Author

This particular post has been prepared by a very well-known Author Mr. John Stephon. We will see more posts from him on various engineering topics in coming future. You can contact Mr. John Stephon over his email ID [email protected]


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