What are cubic feet? Explained with calculations

In mathematics, the units of measurement are very important. The volume of cubic feet is the capacity of a cube having the length of sides in feet. The unit of cubic feet is used in the United States and the United Kingdom.

In this article, we will discuss the cubic feet measurements and examples from particle life. We also discuss the problems in which units of measurement are not feet.

What are cubic feet?

The volume of cubic feet is defined as the volume of a cube with sides of one foot in length. To measure the unit volume, we use the cubic feet unit. The feet in the singular are known as a foot.

A cubic foot is also used to measure the flow of water from a pipe or measure the capacity of an object. In the 3 dimensions, cubic feet are used to measure the volume of the 3-D objects.

Formula:

The formula to measure the volume in the feet is:

·       l = length

·       w = width

·       h = height

·       V= volume of a cube

The volume of a cube = length * width * height

V = l * w * h

The unit of the volume is always in the form of the unit cube. If the unit is feet, then a unit of volume is feet³.

Conversion of Volume of a cubic foot:

To find the volume of a cube in cubic feet. All input must have the same units.

If anyone’s measurement is not in the same unit, we must change them and convert them before calculating in the same unit.

1.   Cubic yard into cubic foot:       

As 1 yard = 3 feet, thus, 1 cubic yard = 27 cu ft.

2.   Cubic meters into cubic feet:

As 1 m = 3.28084 feet, thus, 1 cubic meter = 35.3147 cubic foot

3.   Cubic inch into cubic feet:

As 1 inch = 0.0833 foot, thus, 1 cubic inch = 0.000578 cubic foot

To avoid the difficulty of unit conversions, try a cubic feet calculator.

You have to follow the steps to calculate the problem

• Enter length, width, and height in the respective boxes.
• Select the units of measurement separately and also from the unit box set the units of all measurements.

Examples:

We will discuss some examples from real life to understand how cubic feet are useful for us. Each model is explained in detail with a step-by-step solution.

Example 1:

Find the volume in the feet of a cube with a length of 46 feet, a width of 60 feet, and a height of 50 feet.

Solution:

Step 1:  Extract the data

Length = 45 feet

Width = 60 feet

Height = 50 feet

Step 2: Write the formula

Cubic feet = length(feet) * Width (feet) * Height (feet)

Now putting values in the above formula:

Cubie feet = 45 * 60 * 50

Cubic feet = 135000 ft³

You Should Solve: MCQs on Mensuration

Example 2:

Find the volume in the feet of a cube with a length of 25 yards, a width of 16 meters, and a height of 212 cm.

Solution:

Step 1: Change all inputs in the feet

Length = 212 cm

Now we are converting length from cm to feet.

Length = 6.955 ft.

Width = 25 yd.

Now we are converting width from yard to feet.

Width = 75 feet

Height = 16 m

Now we are converting height from meters to feet:

Height = 52.493 feet

Step 2: Formula of cubic feet

Cubic feet = length(feet) * Width (feet) * Height (feet)

Step 3: Now put values in the above formula:

Cubic feet = 6.955 * 75 * 52.493

Cubic feet = 27381.66 feet³

So, the volume in cubic feet is 27381.66 feet³.

Example 3:

The trunk of a car is L-shaped because one side is used to hold the toolbox. The small cube has a length of 10 feet, a width of 20 feet, and a height of 15 feet. The large cube has a length of 25 feet, a width of 30 feet, and a height of 25 feet.

Solution:

Step 1: Calculate the small cube volume in feet

Small rectangle volume in feet = 10 * 20 * 15

Small rectangle volume in feet = 3,000 feet³

Step 2: Calculate the large cube volume in feet

Large rectangle volume in feet = 25 * 30 * 25

Large rectangle volume in feet = 18,750 feet³

Step 3: Calculation

So, the total cubic together (3,000 ft³ + 18,750 ft³) makes the total capacity 21,750 feet³.

Example 4:

If the dimensions of a water tank are 2 in * 9 in * 10 in, how much water is required to fill it? Find the answer in cubic feet.

Solution:

Step 1: To find the quantity of water required to fill the water tank, we will have to find the volume of the water tank that is,

Volume of water tank = 2 * 9 * 10 = 180 inch³

Step 2: Now convert into Cubic feet

∵ 1 cubic in = 27 cubic feet

∴ 180 in³ = 4,860 ft³

Thus, the volume of the water tank is 4,860 cubic feet.

Summary:

In this article, we have learned about the measurement of cubic units, examples, and real-life problems. In the example section, a lot of problems are provided for your better understanding. Now you can solve all the problems related to the term “cubic feet”