Understanding Cubic Feet: A Comprehensive Guide with Examples

A cubic foot is a unit of measurement used to measure the volume of an object or space in three dimensions. It is commonly used to measure the capacity, size, or volume of objects in various industries and daily life. This unit of measurement is important for accurate calculations and comparisons allowing standardized measurements in different applications.

This article will provide a detailed explanation of what cubic feet are and how they are calculated. It will cover the basic concept of volume measurement and provide practical examples to help readers grasp the concept easily.

What is a Cubic foot?

A cubic foot is a unit of measure for the volume of a cube, where each side measures one foot. It is used as a technique for determining the volume of three-dimensional regions. A cubic foot is equal to one foot long, one foot wide, and one foot in height region. Cu ft and ft3 are the symbols for cubic feet and can be read as cubic feet or feet cube.

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Cubic Feet Formula

A cubic foot (Volume per cubic feet) = (Area x Height) or (L x W x H) ft3 ؞ (Area = Length x Width)

We can also calculate volume in cubic inches, meters, yards, and centimeters by applying the following formulas. Using these formulas, we can easily convert meters or inches to feet to find the exact volume quantity.

Unit of the volume	Formula
A cubic meter	= (L x W x H) ft3 x 3.28
A cubic inch	= (L x W x H) ft3 x 5.787 x 10-4
A cubic yard	= (L x W x H) ft3 x 3
A cubic centimeter	= (L x W x H) ft3 x 3.5315 x 10-5

Cubic Feet Conversion Chart

1 ft3	= 0.028317 cubic meters
1 ft3	= 1728 cubic inches
1 ft3	= 0.037037 cubic yards
1 ft3	= 28316.84 cubic centimeters
1 ft3	= 7.480518 Gallons
1 ft3	= 29.922 Quarts
1 ft3	= 28.3168 Liters

How Cubic Feet is calculated?

You can use one of two approaches to find it on your own.

The first method entails:

Using the above formula, determine the cube's volume.
To convert the volume, use cubic feet instead of cubic inches.

The second method entails:

Individually converting each length from inches to feet.
Multiplying the converted lengths together.
The resulting value will be in cubic feet.

Cubic Feet and Square Feet Differences

Cubic feet and square feet are both units of measurement but measure different things. A cubic foot measures the volume of a three-dimensional space while a square foot measures the area of a two-dimensional surface.

To put it simply, a cubic foot is the amount of space occupied by a cube with sides that measure one foot each whereas a square foot is the area of a square with sides that measure one foot each.

For example, if you have a room that is 12 feet wide and 12 feet long, its area would be 144 square feet (12 feet x 12 feet). However, if the ceiling in that room is 10 feet high, the total volume of the room would be 1440 cubic feet (12 feet x 12 feet x 10 feet).

Solved Problems

Problem # 1:

Calculate the volume of a washing machine that has dimensions 32 inches wide, 48 inches high, and 2 feet long.

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Solution:

Step 1:Write down the given measurements of the object

Length = 2 feet
Width = 32 inches
Height = 48 inches

Step 2: Convert the inches into feet.

Length = 2 feet
Width = 32 / 12 = 2.667 feet
Height = 48 / 12 = 4 feet

Step 3: Apply cubic feet formulas and put the values of the dimensions.

= (Length x Width x Height) ft3
= (2 x 2.667 x 4) ft3
= 21.337 ft3

It is the volume of the washing machine in cubic feet.

Problem # 2:

A 40-story building that is 30m front, 50m long to backward, and 150m in height. Find out its volume in cu ft.

Solution:

Step 1:Write down the given measurements of the region.

Length = 50 meters
Width = 30 meters
Height = 150 meters

Step 2:Convert the meters into feet.

Length = 50 x 3.28 = 164 feet
Width = 30 x 3.28 = 98.4 feet
Height = 150 x 3.28 = 492 feet

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Step 3: Apply cubic feet formulas and put the values of the dimensions.

= (Length x Width x Height) ft3
= (164 x 98.4 x 492) ft3
= 7,939,699.2 ft3

It is the volume of the building in cubic feet.

You can use various online tools for finding the volume of different objects to avoid manual calculations. Below are a few tools that we have personally used and found them worthy, as they offer step-by-step solutions.

Summary

In this article, we have learned what cubic feet are and how to calculate them by using formulas. Calculating cubic feet is made simple with online calculators or manual methods. Differentiating cubic and square feet clarifies their distinct measurements.

Solving examples further demonstrates practical applications. We hope after reading this article, readers feel confident in their grip of the topic and enable accurate volume assessments in various situations.