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 feet^{3}.

## 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 ft^{3}

**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 feet^{3}

So, the volume
in cubic feet is 27381.66 feet^{3}.

**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 feet^{3}

**Step 2**: Calculate the large cube
volume in feet

Large rectangle
volume in feet = 25 * 30 * 25

Large rectangle
volume in feet = 18,750 feet^{3}

**Step 3:** Calculation

So, the total
cubic together (3,000 ft^{3} + 18,750 ft^{3}) makes the total
capacity 21,750 feet^{3}.

**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 inch^{3}

**Step 2:** Now convert into Cubic feet

∵ 1 cubic in = 27 cubic feet

∴ 180 in^{3} = 4,860 ft^{3}

**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”