This article comprises the general fact and figures of the term “cubic foot”. This term is commonly used all over the world, it plays a vital role in the field of engineering and construction. Cubic and foot are two different terms, the cubic represents the multiple of three whereas the foot is a measurement unit.
A cubic foot (cu ft. or cubic ft.) is an imperial unit of dimension for the quantity of an area or 3-dimensional shape. Experts routinely use cubic yards, cubic meters, and cubic feet in making and improving initiatives to trace the total amount of fill materials, like sand or concrete, they may want to finish a task.
Further in this article, we will describe the methods of calculating the volume of a substance or a rigid cube-shaped body in cubic feet. In the example section, we have provided some problems that will help you to understand the calculations more precisely.
Table of Contents
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.
The formula for cubic feet:
The general formula to find the volume in cubic feet is as follows.
Volume (Cubic feet) = Length (feet) * dimension (feet) * Height (feet)
Conversions that you need to remember:
The following conversions will help you to convert the quantities from one unit to another.
Converting yards into cubic feet:
If the given values are in yards then the following formula will assist you in converting the given quantities into cubic feet. If the length, width, and height are in yards then take their inner product and then multiply the product by 27, you’ll get the answer in cu ft.
Formula:
L (yards) * W (yards) * H (yards) * 27 = answer (cubic feet)
Converting centimeters into cubic feet:
If the given values are in yards then simply take their product and divide the product by 28316.846, the answer will be in cu ft.
Formula:
Length (cm) * width (cm) * height (cm) / 28316.846 = answer (cubic feet)
Converting meters into cubic feet:
If the length, width, and height are in yards then simply take their product and multiply it by 35.315, you will get the answer in cubic feet.
Formula:
Length (meters) * width (meters) * height (meters) * 35.315 = answer (cubic feet)
Converting 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.
Converting cubic feet to cubic yards:
1 cu ft. is equal to 1 / 27 of a cubic yard
OR
1 cubic foot approximately equal to 0.037037 yd3
If you want to convert the answer into cubic yards, you just have to multiply the answer by 0.037037 and you’ll get the answer in cubic inches.
Converting cubic feet to cubic meters:
1 cubic foot = 0.028316846592 m3
To convert cubic feet into cubic meters simply multiply the answer by 0.028316846592
Converting cubic feet to liters:
1 cubic foot = 28.316846592 L
A cubic feet calculator is a helpful resource to calculate the cubic feet according to the above conversion and formulas.
Examples of cubic feet:
We have divided this section into two sub-sections, in these sections, we have provided different examples that will help you to understand the method more precisely.
Section I:
In this section, we will discuss the examples in which the parameters are given in feet.
Example 1:
Find the volume of a steel cage if its height is 6 feet, length is 4.5 feet and dimension is 3.87 feet.
Solution:
Step 1: Write down the given data.
Given data:
Length = 4.5 feet
Dimension = Width = 3.87 feet
Height = 6 feet
Formula:
Volume (Cubic feet) = Length (feet) * dimension (feet) * Height (feet)
Step 2: Putting the given parameters in the above formula
Volume = (4.5) * (3.87) * (6)
Volume = 104.49 ft3
Example 2:
If a room hall has measurements, height = 19 ft., Length = 45 ft., and width = 30 ft. then what will be its volume?
Solution:
Height= 19 ft.
Length= 45 ft.
Width= 30 ft.
Formula:
Volume (Cubic feet) = Length (feet) * dimension (feet) * Height (feet)
Volume = 19 ft. * 45 ft. * 30 ft.
Volume = 25650 ft3
Section 2:
In this section, we have solved the examples in which the parameters are not in feet.
Example 1:
A giant Rubik’s has height = 0.9 meter, width = 0.667 meters, length = 0.56 meter, what will be its volume?
Solution:
Step 1: Write down the given information.
Given data:
Length = 0.9 meters
Width = 0.667 meters
Height = 0.56 meters
Step 2: Conversion:
To calculate the volume in cubic feet we should have to convert the data into feet.
Multiply the given data by “3.281” for converting it into feet.
Length= 0.9 * 3.281 = 2.953 ft.
Width= 0.667 * 3.281 = 2.188 ft.
Height= 0.56 * 3.281 = 1.837 ft.
Formula:
Volume (Cubic feet) = Length (feet) * dimension (feet) * Height (feet)
Step 3: Putting values in the formula.
Volume = Length (feet) * dimension (feet) * Height (feet)
Volume = 2.953 * 2.188 * 1.837
Volume = 11.8691 ft3
Alternative method:
Step 1:
Length = 0.9 meters
Width = 0.667 meters
Height = 0.56 meters
Formula:
Length (meters) * width (meters) * height (meters) * 35.315 = answer (cubic feet)
Step 2: Put the values in the above formula
Volume = 0.9 * 0.667 * 0.67 * 35.315
Volume = 11.8691 ft3
Summary:
In this article, we have tried to cover all the general aspects of the term “cubic foot”. In the very first section, we discussed the facts and figures of this term, after that, we discussed the basic definition and its formula. In the conversion section, we elaborated on the formulas that are used to convert a quantity into another.
In the example section, we explained the concept of conversion very thoroughly. Hope this article will be helpful for you.
