In mathematics, cubic feet and cubic inches are the different units of measurement that are used to describe volume in cubic feet, inches, and meters. These units of measuring volume are very essential in construction, engineering, cooking, and manufacturing.

It is very important to deal with such units and how to convert different units of measurement to deal with daily aspects. In this article, we are going to explain cubic feet and cubic inches with the help of conversion formulas and examples.

## What are cubic feet?

The measurement used to describe the volume of an object in feet is said to be cubic feet. In mathematics, a cubic foot is equal to the volume of a cube whose edges measure one foot in length.

The term cubic foot is mainly used to measure the volume of three-dimensional objects and the usage of building materials as to how much concrete and lumber could be used. It can also be written as ft^{3}.

Measuring volume in cubic feet is very helpful in buying various home appliances such as if you want to buy a refrigerator then calculating the volume in cubic feet could be very essential to check whether the new refrigerator will fit or not in the required place of the kitchen.

The formula for calculating volume in cubic feet is:

**Volume in Cubic feet = length (ft) x width (ft) x height (ft)**

## How to Calculate Cubic Feet?

The calculations of cubic feet can be done with the help of a cubic feet calculator in which you have to put the values of measurements with units. Alternatively, use the formula of cubic feet to evaluate it.

Let’s take a few examples to learn how to calculate cubic feet using a formula.

### Example 1: With the same units

Find the volume of a washing machine in cubic feet if the length of the washing machine is 6 ft, the width of the washing machine is 4 ft, and the height of the washing machine is 12 ft.

**Solution:**

**Step 1:** First of all, take the given measurements of the washing machine.

Length of washing machine = 6 ft

Width of washing machine = 4 ft

Height of washing machine = 12 ft

**Step 2:** Now write the formula for finding volume in cubic feet.

Volume in Cubic feet = length (ft) x width (ft) x height (ft)

**Step 3:** Substitute the length, width, and height of the washing machine in the above formula and simplify them.

Volume in Cubic feet = L x W x H

Volume in Cubic feet = 6 ft x 4 ft x 12 ft

Volume in Cubic feet = 6 x 4 x 12 ft^{3}

Volume in Cubic feet = = 288 ft^{3}

Hence the volume of the washing machine in cubic feet is 288.

### Example 2: With different units

Find the volume of a refrigerator in cubic feet if the length of the refrigerator is 12 inches, the width of the refrigerator is 8 yards, and the height of the refrigerator is 18 meters.

**Solution:**

**Step 1:** First of all, take the given measurements of the refrigerator.

Length of refrigerator = 12 inches

Width of refrigerator = 8 yard

Height of refrigerator = 18 meter

**Step 2:** Now convert the measurements of the refrigerator into feet.

**Inches to feet**

Length of refrigerator = 12 inches

As we know that 1 inch = 1/12 ft, then,

12 inches = 12 x 1/12 ft

12 inches = 1 ft

Hence,

Length of refrigerator = 1 ft

**Yard to feet**

Width of refrigerator = 8 yard

As we know that 1 yard = 3 ft, then,

8 yards = 8 x 3 ft

8 yards = 24 ft

Hence,

Width of refrigerator = 24 ft

**Meters to feet**

Height of refrigerator = 18 meter

As we know that 1 meter = 3.28 ft, then,

18 meters = 18 x 3.28 ft

18 meters = 59.04 ft

Hence,

Height of refrigerator = 59.04 ft

**Step 2:** Now write the formula for finding volume in cubic feet.

Volume in Cubic feet = length (ft) x width (ft) x height (ft)

**Step 3:** Substitute the length, width, and height of the refrigerator in the above formula and simplify them.

Volume in Cubic feet = L * W * H

Volume in Cubic feet = 1 ft x 24 ft x 59.04 ft

Volume in Cubic feet = 1 x 24 x 59.04 ft^{3}

Volume in Cubic feet = = 1416.96 ft^{3}

Hence the volume of the refrigerator in cubic feet is 1416.96.

## What are Cubic Inches?

The measurement used to describe the volume of an object in inches is said to be cubic inches. In mathematics, a cubic inch is equal to the volume of a cube whose edges measure one inch in length.

The term cubic inch is mainly used to measure the volume of three-dimensional small objects such as machine parts and electronic components. It can also be written as in^{3}.

Measuring volume in cubic inches is very helpful in buying various machine parts and electronic components such as if you want to buy a door of refrigerator then calculating the volume in cubic inches could be very essential to check whether the new door of a refrigerator will fit or not.

The formula for calculating volume in cubic inches is:

**Volume in Cubic inches = length (in) x width (in) x height (in)**

## How to Calculate Cubic Feet?

The calculation of cubic inches can be done with the help of a formula of cubic inches. Let’s take a few examples to learn how to calculate cubic inches using a formula.

### Example 1: With the same units

Find the volume of a cap of a washing machine in cubic inches if the length of the cap of a washing machine is 12 in, the width of the cap of a washing machine is 6 in, and the height of the cap of a washing machine is 2 in.

**Solution:**

**Step 1:** First of all, take the given measurements of the cap of a washing machine.

Length of the cap of a washing machine = 12 in

Width of the cap of a washing machine = 6 in

Height of the cap of a washing machine = 2 in

**Step 2:** Now write the formula for finding volume in cubic inches.

Volume in Cubic inches = length (in) x width (in) x height (in)

**Step 3:** Substitute the length, width, and height of the cap of a washing machine in the above formula and simplify them.

Volume in Cubic inches = L x W x H

Volume in Cubic inches = 12 in x 6 in x 2 in

Volume in Cubic inches = 12 x 6 x 2 in^{3}

Volume in Cubic inches = 144 in^{3}

Hence the volume of the cap of a washing machine in cubic inches is 144.

### Example 2: With different units

Find the volume of a small container in cubic inches if the length of the small container is 2 feet, the width of the small container is 6 yards, and the height of the refrigerator is 18 meters.

**Solution:**

**Step 1:** First of all, take the given measurements of the small container.

Length of small container = 2 feet

Width of small container = 6 yard

Height of small container = 8 meter

**Step 2:** Now convert the measurements of the small container into inches.

**feet to inches**

Length of small container = 2 feet

As we know that 1 foot = 12 in, then,

2 feet = 2 x 12 in

2 feet = 24 in

Hence,

Length of small container = 24 in

**Yard to inches**

Width of small container = 6 yard

As we know that 1 yard = 36 in, then,

6 yards = 6 x 36 in

6 yards = 216 in

Hence,

Width of small container = 216 in

**Meters to inches**

Height of small container = 8 meter

As we know that 1 meter = 39.37 in, then,

8 meters = 8 x 39.37 in

8 meters = 314.96 in

Hence,

Height of small container = 314.96 in

**Step 2:** Now write the formula for finding volume in cubic inches.

Volume in Cubic inches = length (in) x width (in) x height (in)

**Step 3:** Substitute the length, width, and height of the small container in the above formula and simplify them.

Volume in Cubic inches = L * W * H

Volume in Cubic inches = 24 in x 216 in x 314.96 in

Volume in Cubic inches = 24 x 216 x 314.96 in^{3}

Volume in Cubic inches = 1632752.64 in^{3}

Hence the volume of the small container in cubic inches is 1632752.64.

## Conclusion

The terms cubic feet and cubic inches are different units of measurement that are used to measure the volume of different objects in feet or inches for various purposes. The calculation of volume can be done with similar or different units with the help of their formulas.