## What is a cubic foot? Its definition, calculations, and conversion

The term “cubic feet” or “isometric feet” is commonly used all over the world, and it is widely used in the field of engineering and construction. This term is made up of two terms “cube” and “foot”, the “foot” is a unit of measurement, whereas the cube represents the multiple of three.

A cubic foot
(cu ft. or cubic ft.) is an imperial unit of dimension for the 3-dimensional
shape. Contractors routinely use cubic feet, cubic meters, and cubic yards in
making and renovating projects to calculate the total amount of materials, like
sand or concrete, they may want to finish a task.

In this
article, we will discuss the basic definition of the term “cubic foot” after
that we will elaborate on the calculations and conversions.

## Definition of
the cubic foot:

The cubic foot (symbol ft^{3} or cu ft.) is
an imperial and US customary (non-metric) volume unit used in the United States
and the United Kingdom.

## Formula:

The following
formula is generally used to calculate the volume in cubic feet.

*Volume (Cubic
feet) = Length (feet) * dimension (feet) * Height (feet)*

## Conversions:

Some of the
times the dimensions are given in a unit other than the cubic feet so the
following conversions will help you a lot to convert the given quantity in
cubic feet.

### ·
Yards into cu
ft:

By using the
following formula, we can convert the data into cubic feet if the values are
given in yards. What you have to do is simply take the product of the
dimensions and then t multiply the product by “27”

*Formula:*

*Product of
dimensions = Length (in yards) * Width (in yards) * Height (in yards)*

*Product of
dimensions * 27 = answer (in cubic feet)*

### · Centimeters to cu ft:

If you have the
dimension in centimeters, take the product of the quantities and then divide it
by **28316.846**, then you’ll get the answer in cu ft.

*Formula:*

*Product of
dimensions = Length (in cm) * Width (in cm) * Height (in cm)*

*Product of
dimensions / 28316.846 = answer (in cubic feet) *

### · Meters to cu ft:

If the parameters
are given in meters, take the product of the quantities and multiply it by
**35.315**

*Formula:*

*Product of parameters **=
Length (in m) * Width (in m) * Height (in m)*

*Product of
parameters * 35.315 = answer (cubic feet)*

Now we’ll
discuss the conversions from cubic feet into other cubic units.

### · 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.

### · Cubic feet to cubic yards:

1 Cubic foot =
Cubic yards / 27

OR

1 ft^{3}
= 0.037037 yd^{3}

To convert cu
ft to yd^{3}, multiply the calculated result by 0.037037.

### · Cubic feet to cubic meters:

One cubic foot
= 0.02832 m^{3}

1 cubic meter =
35.3147 cubic feet

If you want to
convert the calculated volume (cubic feet) into cubic meters, simply multiply it
by **0.02832**

## Examples section:

The example
section comprises two subsections. In the first section, we will study the
simple problems, but in the second section, we will discuss the problems in
which the parameters are not in feet.

### Section I:

If the parameters
are in feet.

**Example 1:**

Calculate the
volume of a container having a height of 14 feet, a length of 32 feet, and a dimension
of 38 feet.

**Solution:**

**Step 1:** Extract the
data. ** **

Height = 14 ft

Length = 32
feet

Dimension = W =
38 feet

*Formula: *

*Volume (Cubic
feet) = Length (feet) * dimension (feet) * Height (feet)*

**Step 2:** Putting the
given parameters in the above formula

Volume = (32) *
(38) * (14)

Volume = **17024
ft ^{3}**

**Example 2:**

An examination
hall has a height of 30 ft., Length of 90 ft., and width of 50 ft. Calculate
its volume in cubic feet.

**Solution: **

Length= 90 ft.

Height= 30
ft.

Width= 50 ft.

*Formula: *

*Volume (Cubic
feet) = Length (feet) * dimension (feet) * Height (feet)*

Volume = 90 ft.
* 50 ft. * 30 ft.

**Volume
= 135000 ft ^{3} **

To get rid of these lengthy calculations, you can get assistance from the cubic feet calculator and can get a detailed solution to the problem.

### Section II:

The problems in
which the given data is not in feet are discussed in this section.

**Example 1: **

A gigantic ludo
dice has a dimension of 0.7 meters. What will be its volume?

**Solution:**

**Step 1:** Extract the data

As the dimension of the
dice is 0.7 meters, and the dice is a regular cube, so the length and height
will be the same as the dimension.

**Step 2:** Conversion

To convert
meters into feet, multiply the value by “3.281”.

Length = 0.7 *
3.281 = 2.296 ft.

Width = 0.7 *
3.281 = 2.296 ft.

Height = 0.7 *
3.281 = 2.296 ft.

**Step 3:** Insert the
values in the formula.

Volume = Length
(feet) * dimension (feet) * Height (feet)

Volume = 2.296*
2.296* 2.296

**Volume = 12.11
ft**^{3 }

**Alternative
method:**

**Step 1:**

Length = 0.7
meters

Width = 0.7
meters

Height = 0.7
meters

**Step 2: **Insert the
values in the following formula

*Length (meters)
* width (meters) * height (meters) * 35.315 *

Volume = 0.7 *
0.7 * 0.7 * 35.315

**Volume = 0.343
* 35.315 ft ^{3}**

** Volume = 12.11 ft ^{3}**

## Summary:

In this article, we have discussed the
basic definition of the term cubic feet. We have also discussed its main
applications. We have studied the conversions and calculations that can help
you to solve daily life problems related to cubic feet.

In the example section, we have provided detailed
step-by-step solutions, now you are able to tackle the daily life obstacles
related to this term.