It can be written as feet^{3}, regarding the three-dimensional (3D) solid object i-e; an object with length, width, and height. It measures the capacity of containers, rooms, and others. In this topic, we will acknowledge the measurement of cubic feet with its formula.
What is meant by volume in cubic feet?
The cubic foot is a mathematical term which use to describe a space of any arbitrary object occupied. It often means to measure volume or capacity. Generally, it is a unit of measurement of volume of a cubic object.
While measuring something, we always use units. Therefore, the unit of volume is ‘cubic units’. Different kinds of units of length including m^{3}, cm^{3}, and inch^{3 }are used depending on the given units. For any arbitrary solid with dimensions:
The formula for the volume of the cubic solid is given as:
Volume of cubic solid = l × b × h = lbh ft^{3} or cubic feet
· Length ‘l’ ft
· Width ‘w’ ft
· Height ‘h’ ft
Where:
· The length is the measurement of an object on its longest side.
· The breadth of an object is the dimension that is perpendicular to the given length.
· Height refers to the dimension of an object, which is perpendicular to its length and width as well.
Way to find the volume in cubic feet
For any arbitrary solid with given dimensions:
· Length = 1ft
· breadth = 1ft
· Height = 1ft
Then, its volume will be:
The Volume of cubic solid = l × b × h
= 1ft × 1ft × 1ft
= 1ft^{3}
Steps:
· Step 1: Identify breadth, and height and the length, of solid in feet.
· Step 2: Find the multiple of the three given dimensions to get the volume.
· Step 3: Now write the volume calculated in cubic feet.
Basic Units of Conversions
The following table shows how we can change other units of measurement into feet.
Measurement unit | Conversion to feet | Measurement unit | Conversion to feet |
Mile | Multiply by 5289 | Kilometer | Multiply by 3281 |
yard | Multiply by 3 | Meter | Multiply by 3.281 |
Inch | Divide by 12 | Centimeter | Divide by 30.48 |
Noted that It is not necessary to convert other units of measurement into feet before using the formula.
The following table tells how to change other cubic units into cubic feet units.
Cubic unit | Conversion to cubic feet | Cubic unit | Conversion to cubic feet |
Cubic Mile | Multiply by 147,197,952,000 | Cubic Kilometer | Multiply by 35,314,666,720 |
Cubic yard | Multiply by 27 | Cubic Meter | Multiply by 35.3147 |
Cubic Inch | Divide by 1728 | Cubic Centimeter | Divide by 28316.8466 |
These calculations will allow you to convert measurements of volume in these cubic units into cubic feet.
Examples of Finding Volume in Cubic Feet
Let us solve some examples relevant to this topic to understand it well.
Example1:
At Bin Qasim Port Karachi, there are 500 rectangular containers carrying different kinds of stuff. If each of the 500 containers measures 15 feet in length, 8 feet in width, and 6 feet in height. Determine the volume in cubic feet of each container.
Solution:
Here,
Length = 15 ft, Width = 8 ft, Height = 6 ft
The formula to calculate the volume of a rectangular container in cubic feet is given by:
Volume = Length × Width × Height
Since all the values of a given rectangular container are measured in feet. By putting l=15ft, w=8ft , h=6ft
We have;
Volume of rectangular container = 15ft × 8ft × 6ft
= 720 ft^{3}
So, each rectangular container’s volume is 720 ft^{3}
Example2:
In a Government school, all the classrooms on the ground floor have dimensions of 16 feet in length, 7 feet in width, and 8 feet in height. Calculate the volume of each classroom on the ground floor.
Solution:
Here,
Length = 16 ft, Width = 7 ft, Height = 8 ft
The formula to calculate the volume of a classroom in cubic feet is given:
Volume = Length × Width × Height
Since all the values of a given classroom are measured in feet. By putting l=16ft, w=7ft , h=8ft
We have;
Volume of rectangular container = 16ft × 7ft × 8ft
= 896 ft^{3}
So, each rectangular container’s volume is 896 ft^{3}
Example3:
A clown presents different tricks in an exhibition. One of his tricks is to a box with a length of 10 inches, a width of 8 inches, and a height of 5 inches; calculate the volume of this box in cubic feet.
Solution:
To calculate the volume of the box in cubic feet, firstly we have to convert the measurements from inches to feet and then we will use the formula for volume.
Given:
Length = 10 inches
Width = 8 inches
Height = 6 inches
We know that 12 inches are there in a single foot, we will divide each number by 12 to convert the measurement to feet.
Length (in feet) = 10 / 12 = 0.833 feet
Width (in feet) = 8 / 12 = 0.667 feet
Height (in feet) = 6 / 12 = 0.5 feet
∴ Volume = Length × Width × Height
Volume in cubic feet = 0.833 × 0.667 × 0.5 = 0.277 ft^{3}
Hence, the volume of the box is 0.277 ft^{3}
A cubic ft calculator is an essential source to find the volume of any object in cubic feet with steps to get rid from lengthy calculations.
Importance of cubic-feet in daily life
Cubic feet play a sufficient role in our daily life. Here are some key reasons and applications for the importance of cubic feet:
Home management: The concept of cubic feet has much importance in home management for the renovation of the house, we need to know about the exact volume of a room, kitchen, TV lounge, etc to find the quantity of paint, flooring, wallpaper, lumber, or concrete you need for your project.Conclusion:
In this topic, we have described the cubic feet and its formula. After that, we studied the method of finding the cubic feet. The importance of cubic feet in the field of engineering is also described in this article.
0 Comments