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# Introduction to Cubic Feet with Examples

Even if math is not your thing, it is a fascinating subject that everyone should study. It allows you to be disciplined and organized. In actuality, the majority of our industries are worthless without math.

An important subfield of geometry deals only with the structural characteristics of the objects in our environment. These forms might have one direction, two directions, or three directions. Depending upon directions these can be divided into different types.

## What are cubic feet?

### Definition

The term “cubic feet” refers to a common unit used to describe a 3-D shape’s volume.

Alternatively,

“A volume with the inside dimensions of a cube, one foot long, one foot wide, and one foot high.”

### Unitsof cubic feet

Because we are discussing volume or three-dimensional objects with three distinct or identical lengths, the cubic foot unit is designated as m3 (Meter cube or cubic meter).

The following diagram depicts the connections between cubic feet and numerous widely used volume units in various measuring systems.

• One cubic foot is equivalent to 1,728 cubic inches.
• One cubic foot is identical to twenty-eight (28.3168) liters.
• US gallons (7.4805) make one cubic foot.
• One cubic meter resembles about thirty-five (35.315) cubic feet.

### Formula of cubic feet

The formula to determine the volume, capacity, or cubic feet of a three-dimensional structure with dimensions of length L, width B, and height H is as follows:

Cubic feet = Volume = Capacity= l × w × h

According to the method above, all you need to do to determine a cube’s 3-D capacity is multiply its three dimensions. You can modify the procedure to obtain the necessary measurements if you are aware of how many cubic feet you require.

The preceding approach can be modified to obtain the dimensions if cubic feet are known.

l = Cubic feet / w × h

Or

w = Cubic feet / l × h

Or

h = Cubic feet / l × w

You may use these formulas to show how three-dimensional shapes behave from all angles.

## Why do we confuse square feet with cubic feet?

Because both phrases finish in feet, people frequently confuse square feet with cubic feet. The original meaning of the term matters, regardless of how you relate the words that finish in the same phrase.

Regarding dimensions, a square foot often differs from a cubic foot. When we discuss items with only two faces, we are essentially referring to square feet. Additionally, if an item has more than two faces and is in our field of view, we deal with cubic feet. First, we should make an effort to understand that these two units are used for various measuring standards. Compared to the volume, the surface area is measured as square feet.

There are circumstances, though, in which we also need to define the link between square feet and cubic feet. For instance, if we know the surface area of a concrete floor, we may multiply its surface area by its thickness to determine the amount of material required to build this road.

## How to calculate the cubic feet or capacity?

Here are a few examples to learn how to calculate the cubic feet.

Example 1:

The route that connects China and Pakistan is 250 meters broad and 244 2000 meters long. Calculate how much material will be needed to reconstruct the same road if it is 0.3 meters thick.

Solution: Manual method

Step 1: Write the dimensions of the cubic tank

Length = l = 2442000m= 8011811.024ft

Width = w= 125m = 410.105ft

Height = h = 0.3m = 0.984252ft

Material required to build the road = Volume =?

Step 2: Make sure to calculate with general formula.

Material required to build the road tank = Volume = l × w × h

Step 3: Enter the supplied value into the above formula.

Material required to build the road = Volume = 8011811.024ft × 410.105ft × 0.984252ft

= Volume = 3,234,926,517.273078ft3

Hence, this large amount of material will be used to build the road again.

A cubic feet calculator is a helpful tool to answer the above problem in a couple of seconds with just a single click. It enables us to solve problems quickly and effectively by employing a scientific approach. To calculate cubic feet, use the following procedure.

Single-step: Put in the specified data values, choose the unit from the drop-down box where you have measurements, and press the calculate button. Hence the material needed to reconstruct the road is calculated.

Example 2:

A loader is equipped with a cubic box that is 200cm in length and 150cm in breadth. Calculate the total capacity of the box if the height of the box is 400cm.

Solution: Manual method

Step 1: Give the cubic box’s measurements in words.

Length = l = 200cm= 6.56168 ft

Width = w= 150cm = 4.92126 ft

Height = h = 400cm = 13.1234 ft

Capacity of 3-D box = Volume =?

Step 2: Make sure to calculate with general formula.

Capacity of 3-D box = Volume = l × w × h

Step 3: Enter the supplied value into the above formula.

Capacity of 3-D box = Volume = 6.56168ft × 4.92126ft × 13.1234ft

Capacity of 3-D box = Volume = 423.77733ft3

As consequence, the box’s capacity has been calculated.

Example 3:

Calculate the volume of a given cube in cubic feet. Solution: Manual method

Step 1: As measurements are given write them in sequence.

Length = l =120 ft

Width = w= 60 ft

Height = h = 50 ft

Cubic feet =?

Step 2: Make sure to calculate with general formula.

Cubic feet = Volume = l × w × h

Step 3: Enter the supplied value into the above formula.

Cubic feet = Volume = 120ft × 60ft × 50ft

Cubic feet = Volume = 360000ft3

Here we go the calculation has been done.

## Summary:

The most often used unit of volume is the cubic foot, however other measuring systems, such as the US imperial system of measures, can also be used to measure volume. In this article, we learned two ways to calculate cubic feet: manually and using a calculator.