A cubic foot and a cubic yard are units that are used for the measurement of a unit volume. The space enclosed by a three-dimensional geometric structure is called the volume. For example, let us assume that water is filled in a cubical tank. Now, the volume of the container is equal to the amount of water filled in the cubical tank. The volume of the three-dimensional geometric structure is measured in terms of cubic units, which are expressed as m³, cm³, in³, ft³, etc., based on the given units.

Cubic Foot (ft³)

A cubic foot is used to measure the volume of a cube that has a length of one foot on each side. It is an imperial and United States customary unit of volume and is symbolically denoted as ft³. 1 cubic foot can also be written as 1 cu. ft. or 1 ft³. The value of a cubic yard is equivalent to 0.03703704 yd³, 28.31685 m³, 28.3168 L, and 7.48052 US liquid gallons. We know that, The Volume of the cube = l × b × h cubic units.

From the definition of one cubic foot,

1 cubic foot = 1 ft × 1 ft × 1 ft

Cubic Yards (yd³)

A cubic yard is used to measure the volume of a cube that has a length of one yard on each side. It is an imperial and United States Customary unit of volume and is symbolically denoted as yd³. 1 cubic yard can also be written as 1 cu. yd or 1 yd³. The value of a cubic yard is equivalent to 27 ft³, 0.7645549 m³, and 764.5549 L. We know that, The Volume of the cube = l × b × h cubic units

From the definition of one cubic yard, 

1 cubic yard = 1 yd × 1 yd × 1 yd

How to Convert Cubic Yards To Cubic Foot?

The value of 1 cubic yard is equal to 27 cubic feet. So, to convert cubic yards to cubic feet, we need to multiply the given yard value by 27, i.e.,

Cubic yard = 27 × cubic feet

For example, To convert 0.34 cubic yards into cubic feet, multiply 0.34 by 27, i.e., 0.34 cubic yards = 0.34 × 27 cubic feet.

0.34 cubic yards = 9.18 cubic feet

Thus, the value of 0.34 cubic yards is equal to 9.18 cubic feet.

How to Convert Cubic Foot To Cubic Yards?

The value of 1 cubic foot is approximately equal to 0.03703704 cubic yards. So, to convert cubic feet to cubic yards, we need to multiply the given foot value by 0.03703704 or divide the given value by 27, i.e.,

Cubic feet = 0.03703704 × Cubic yards

Or

Cubic feet = Cubic yards/27

For example, To convert 25 cubic feet into cubic yards, multiply 25 by 0.03703704 cubic yards, i.e., 25 cubic feet = 25 × 0.03703704 cubic yards = 0.925926 cubic yards. 

Or

25 cubic feet = 25/27 cubic yards 

25 ft³ = 0.9259259259259259 ≅  0.925926 yd³

Thus, the value of 25 cubic feet is approximately equal to 0.925926 cubic yards.

Conversion Table of Cubic Feet to Cubic Yards

Cubic yards to Cubic feet

Solved Examples 

Example 1: Convert 15 cubic feet to cubic yards.

Solution:

We know that,

1 cubic foot = 0.03703704 cubic yards

Hence,

15 ft³ = 15 × 0.03703704 yd³

15 ft³ = 0.5555556 yd³

Hence, the value of 15 cubic feet is 0.5555556 yards.

Example 2: Convert 0.85 cubic yards to cubic feet.

Solution:

We know that,

1 cubic yard = 27 cubic feet

Hence,

0.85 yd³ = 0.85 × 27 ft³

0.85 yd³ = 22.95‬ ft³

Hence, the value of 0.85 cubic yards is 22.95 cubic feet.

Example 3: Convert 90 cubic feet to cubic yards.

Solution:

We know that,

1 cubic foot = 0.03703704 cubic yards

Hence,

90 ft³ = 90 × 0.03703704 yd³

90 ft³ = 3.3333336 yd³

Hence, the value of 90 cubic feet is 3.3333336 yards.

Example 4: Convert 0.12 cubic yards to cubic feet.

Solution:

We know that,

1 cubic yard = 27 cubic feet

Hence,

0.12 yd³ = 0.12 × 27 ft³

0.12 yd³ = 3.24‬ ft³

Hence, the value of 0.85 cubic yards is 3.24 cubic feet.

Example 5: Convert 28 cubic yards to cubic feet.

Solution:

We know that,

1 cubic yard = 27 cubic feet

Hence,

28 yd³ = 28 × 27 ft³

28 yd³ = 756 ft3

Hence, the value of 28 cubic yards is 756 cubic feet.

Example 6: Convert 1.56 cubic feet to cubic yards.

Solution:

We know that,

1 cubic foot = 0.03703704 cubic yards

Hence,

1.56 ft³ = 1.56 × 0.03703704 yd³

1.56 ft³ = 0.0577777824‬ yd³

Hence, the value of 1.56 cubic feet is 0.0577777824‬ yards.