Brief Introduction to Cubic Feet: With Calculations

Cubic feet are a unit of volume commonly used to determine the amount of space an object can occupy in three dimensions. It is helpful to find the volume when dealing with three-dimensional objects such as boxes, containers, or rooms. 

It comes to understanding the space occupied by an object or the capacity of a container in cubic feet that is a special unit of measurement. Simply multiply the length, breadth, and height together to calculate the volume in cubic feet. By using cubic feet easily compare volumes and make decisions to occupy space of an object in various fields and different situations.

In this article, we will discuss the concept and definition of cubic feet, its formula, its practical applications, and providing some examples to understand the concept of cubic feet.

Cubic Feet

Cubic feet “ft³” represent the volume of three-dimensional objects in space like the shape of a cube with sides measuring one foot each.

It is determined simply by multiplying the length, width, and height of an object in feet. The resulting value represents the amount of space that an object occupies in the three-dimensional direction.

Calculation of Cubic Feet and its Formula:

Measuring the material’s length, width, and height in feet is must to evaluate the volume of material in cubic feet. Measure all measurements in feet if it is given in feet already then simply multiply them together.

If one or all of that measurements are not given in feet then firstly convert them into the feet according to the situation and then multiply them all together. The formula for calculating cubic feet is given below for the cube.

Cubic Feet (ft3) = Length (ft) × Width (ft) × Height (ft)

Cubic Feet (ft3) = L (ft) × W (ft) × H (ft)

Practical Applications of Cubic Feet:

Cubic feet have many practical applications across various industries and in science fields. There are some of the most common applications are given below.

Volume Measurements:

Cubic feet are widely used for measuring the volume of objects, such as boxes, tanks, swimming pools, or any other three-dimensional structure. This information is helpful for determining the amount of material needed or the available space required for storage.

Shipping and Freight:

In logistics and shipping the cubic feet are utilized to calculate the space occupied by goods in containers or trucks. Shipping companies use this measurement to optimize their cargo space and determine shipping costs based on volume.

Home Improvement Projects:

Cubic feet are valuable in home improvement projects especially when buying materials like flooring, paint, or wallpaper. By knowing the volume of a room or specific areas homeowners accurately estimate the required quantities, avoid wastage and save time as well as money.

Examples of Calculating Volume in Cubic Feet

Let us go through a few examples to illustrate how to calculate cubic feet in different shapes.

Example 1: 

Calculating the Cubic Feet of a Rectangular Box while the length of the box is 5 feet, its width is 3 feet and its height is 2 feet.

Solution:

Step 1:

Write the data of the rectangular box from the question.

L = Length = 5 feet, W = Width = 3 feet, H = Height = 2 feet, Cubic feet (ft3) =?

Step 2: 

Write the formula of the cubic feet. 

Cubic Feet (ft3) = Length (ft) × Width (ft) × Height (ft)

Cubic Feet (ft3) = L (ft) × W (ft) × H (ft) 

Step 3:

Put the values in the above formula and simplify carefully. 

L = 5 feet, W = 3 feet, H = 2 feet

Cubic Feet (ft3) = L (ft) × W (ft) × H (ft)

Cubic Feet (ft3) = 5 ft × 3 ft × 2 ft 

Cubic Feet (ft3) = 30 ft³

The cubic feet of the rectangular box is 30 ft³.

Example 2: 

Calculating the Cubic Feet of a Cylinder whose radius of the base is 2 feet and the height of the cylinder is 6 feet.

Solution:

To find the cubic feet of a cylindrical tank using the formula of the volume of the cylinder.

Step 1:

Write the data of the cylindrical tank from the question.

R = Radius = 2 feet, H = Height = 6 feet, Cubic feet (ft3) =?

Step 2: 

Write the formula of the cubic feet for the cylindrical tank.

Cubic Feet (ft3) = π × (Radius²) (ft) × Height (ft) 

Cubic Feet (ft3) = π × (R²) (ft) × H (ft)

Step 3:

Put the values in the above formula and simplify carefully.

R = 2 feet, H = 6 feet.

Cubic Feet (ft3) = π × (R²) (ft) × H (ft)

Cubic Feet (ft3) = 3.14 × (2 ft) ² × 6 ft 

Cubic Feet (ft3) = 75.36 ft³

The cubic feet of the cylindrical tank is 75.36 ft³.

Example 3:

A cubic board with a width of 24 inches, a length of 36 inches, and a height of 5 feet. Find the volume of the board in cubic feet.

Solution:

To find the cubic feet of the board using the formula of cubic feet and make the unit in feet.

Step 1:

Write the data from the given question and convert the unit into feet.

L = Length = 36 inches, W = Width = 24 inches, H = Height = 5 ft, Cubic Feet (ft3) =?

L = Length = 36/12 ft, W = Width = 24/12 ft, H = Height = 5 ft

L = Length = 3 ft, W = Width = 2 ft, H = Height = 5 ft

Step 2:

Write the formula of the cubic feet.

Cubic Feet (ft3) = Length (ft) × Width (ft) × Height (ft)

Cubic Feet (ft3) = L (ft) × W (ft) × H (ft)

Step 3:

Put the values in the above formula and simplify carefully.

L = 3 ft, W = 2 ft, H = 5 ft. 

Cubic Feet (ft3) = L (ft) × W (ft) × H (ft)

Cubic Feet (ft3) = 3 (ft) × 2 (ft) × 5 (ft)

Cubic Feet (ft3) = 30 ft3-

The cubic feet of the cubic board is 30 ft³.

Conclusion:

In this article, discussed the basic definition, formula, and application in different fields of science. Moreover, solved the different examples using different shapes for a better understanding of concept of the cubic feet.

I hope by reading this article everyone can solve the related problem easily