Civil Engineering

# Mastering Cubic Foot And Definition| Uses And How To Do Calculations

## Mastering Cubic Foot And Definition| Uses And How To Do Calculations

A cube having sides that are one foot long on each side can be represented as a cubic foot, a unit of volume. Cubic feet are commonly used to measure the volume of large objects located on Earth or in space.
This article will give essential information about the cubic foot, a unit of measurement everyone should understand. We will explore its definition, calculation steps, and uses across various fields. Mastering Cubic Foot And Definition| Uses And Calculations |Definition of a Cubic Foot |Unit of the volume Formula |Cubic Feet Conversion Chart |Mastering Cubic Foot And Definition| Uses And How To Do Calculations

### Definition of a Cubic Foot

A cubic foot is a mathematical way to measure the 3-dimensional area covered by a cubic object in feet. The object may be a solid, a liquid, or perhaps a gas. We can refer to this measurement as Capacity or Volume. A cubic foot is equal to a one-foot-long area that is one foot wide and one foot high.
The symbol of cubic feet is cu ft and ft3 and read as cubic feet or feet cube.
A cubic foot = Volume per cubic feet = (Area x Height) or (Length x Width x Height) ft3
؞ (Area = L x W)
We can also calculate volume in cubic inches, meters, yards, millimeters, and centimeters.

### Unit of the volume Formula

1. A cubic meter = (Length x Width x Height) m3
2. A cubic inch = (Length x Width x Height) in3
3. A cubic yard = (Length x Width x Height) yd3
4. A cubic millimeter = (Length x Width x Height) mm3
5. A cubic centimeter = (Length x Width x Height) cm3

### Cubic Feet Conversion Chart

1. 1 ft3 = 0.028317 cubic meters
2. 1 ft3 = 1728 cubic inches
3. 1 ft3 = 0.037037 cubic yards
4. 1 ft3 = 28316.84 cubic centimeters
5. 1 ft3 = 7.480518 Gallons
6. 1 ft3 = 29.922 Quarts
7. 1 ft3 = 28.3168 Liters

### Steps for Calculating Cubic Feet

We can calculate the cubic feet or volume of an object by using these 2 steps, let’s explain:

#### ⦁ Get the measurements of all dimensions of the object in feet:

First, we need to know about the measurements of the object in three dimensions (x, y, z axis). All measurements should be expressed in feet. Sometimes we get some feet + inches in measuring an object then we need to convert inches into feet first and add that converted feet to the previous feet. By doing this, we will get the exact volume in feet.

#### ⦁ Multiplying all the measurements:

Multiply all the measurements which we got from the object in feet. We know the formula of cubic feet is area x by height.  So put the values in the formula and calculate it. We will get the answer in cubic feet (ft3)

#### For example:

Let’s calculate the volume of a box that is 20 feet long, 14’ 6” feet wide and its height is 8 feet. By using the cubic feet formula.

First, we convert width into feet = 14’ 6” = 14 feet + 6/12 feet = 14 + 0.5 feet = 14.5 feet
Volume = Area x Height = (20 x 14.5) x 8 = 2320 ft3

### Uses of Cubic Feet in various industries:

The concept of cubic feet is used in various fields. Here are some of these uses in different fields:
Construction and Architecture
Architects and engineers use cubic feet to measure the volume of buildings, rooms, and construction materials. Also used in property size measures, especially in the case of high-ceiling rooms.

#### Fuel and Energy

Gas is measured in cubic feet, particularly in residential and commercial billing.

#### Shipping and Freight

The volume of shipped goods and cargo containers is often measured in cubic feet. In HVAC systems, cubic feet per minute (CFM) is a common measurement for the volume of air moved or circulated.

#### Agriculture

The volume of grain storage boxes, bins, and rooms is often measured in cubic feet, and in scientific research, the volume of substances and equipment is expressed in cubic feet.

#### Mining

The volume of materials extracted in mining operations is measured in cubic feet.

#### Transportation

Cubic feet can be used to measure the cargo space in trucks, vans, and other vehicles.

#### Retail and Packaging

Cubic feet are used in determining the volume of the product packaging, especially for shipping and storage.

### Example 1

A perpendicular packaging box having dimensions 4m long, 2.5m wide, and 5m high. Find the volume of the packaging box in cubic feet.

### Solution:

Given, that the dimensions of the box are in meters, we will find the volume in meters and then convert it into feet by using the cubic feet conversion chart.
Cubic meter = Length x Width x Height = 4 x 2.5 x 5 = 50 m3
Now convert cubic meters into cubic feet by dividing.
50 m3/0.028317 m3 = 1765.7238 ft3
The volume of the packaging box in cubic feet = 1765.7238 ft3

### Example 2

A perpendicular packaging box having dimensions 4m long, 2.5m wide, and 5m high. Find the volume of the packaging box in cubic feet.

### Solution:

Given, that the dimensions of the box are in meters, we will find the volume in meters and then convert it into feet by using the cubic feet conversion chart.
Cubic meter = Length x Width x Height = 4 x 2.5 x 5 = 50 m3
Now convert cubic meters into cubic feet by dividing.
50 m3/0.028317 m3 = 1765.7238 ft3
The volume of the packaging box in cubic feet = 1765.7238 ft3

### Example 3

The roof of a house has a triangular shape and dimensions of 5 feet in height, 15 feet in width, and 15 feet in length. Find its volume.

### Solution:

Given that h = 5 ft, w = 15 ft, l = 15ft
The volume of the triangular shape in feet = (l x w x h) ÷ 3
= (5 ft x 15 ft x 15 ft) ÷ 3
= 1125 cu ft ÷ 3
The volume of the roof = 375 cu ft
This content contains details of the cubic foot and provides the most familiar information about it. In this article, we have learned the definition and formulas of cubic feet and other units of volume in the system. The solution is very simple and understandable.