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Cubic Yards to Cubic Meters

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A cubic meter and a cubic yard are the units of measurement of volume. Volume is a mathematical quantity that is used to measure the amount of three-dimensional space that is occupied by a three-dimensional object. The volume of a three-dimensional object varies with its shape, like cubical, cuboidal, cylindrical, conical, etc. The volume of an object is usually measured by using SI-derived units such as cubic meters and liters and different imperial units such as cubic inches, cubic yards, pints, gallons, etc. Generally, while solving some problems, we need to convert units. For example, you are asked to find the volume of a cubical container in liters, and its side length is given in inches. So, after calculating the volume of the container, we have to convert the obtained volume in cubic inches to liters. Before converting one unit to the other, we need to understand the relationship between the units. In this article, we will discuss the conversion of cubic yards to cubic meters.

Cubic Yards (yd3)

A cubic yard is an Imperial or U.S. customary unit of measurement of volume, which is represented as yd3. It is the volume of a cube with measurements of one yard long, one yard wide, and one yard deep. One cubic yard can be written symbolically as 1 cu. yd or 1 yd3. One cubic yard is equal to 0.7645549 cubic meters, 764.5549 liters, 27 cubic feet, 46656 cubic inches, 4.80890 oil barrels, and 201.9740 US gallons.

From the definition of one cubic yard,

1 cubic yard = 1 yd × 1 yd × 1 yd

Cubic Meters (m3)

A cubic meter is an SI-derived unit of measurement of volume, which is represented as m3. It is the volume of a cube with measurements of one meter long, one meter wide, and one meter deep. One cubic meter can be written symbolically as 1 cu. m or 1 m3. One cubic meter is equal to 1000 liters, 61023.7441 cubic inches, 35.3 cubic feet, 1.31 cubic yards, 6.29 oil barrels, 264 US fluid gallons, 220 imperial gallons, and 2113.3764 US pints.

From the definition of one cubic meter,

1 cubic meter = 1 m × 1 m × 1 m

Conversion Table

As we know,

1 cubic yard = 0.7645549 cubic meters

The table used for this conversion is given below

Cubic Yards  Cubic Meters 
0.1 0.07645549
1 0.7645549
2 1.5291098
3 2.2936647
4 3.0582196
5 3.8227745
10 7.645549
20 15.291098
50 38.227745
100 76.45549
1000 764.5549

How to Convert Cubic Yards to Cubic Meters?

The value of one cubic yard is equal to 0.7645549 cubic meters. So, to convert cubic yards to cubic meters, we need to multiply the given cubic yard value by 0.7645549, i.e.,

1 Cubic yard = 0.7645549 cubic meters

n × 1 Cubic yard = n × 0.7645549 cubic meters

Example: Convert 31 cubic yards into cubic meters.

Solution:

Multiply 31 by 0.7645549 to get the answer in cubic meters, i.e., 

31 cubic yards = 31 × 0.7645549 cubic meters.
31 cubic yards = 23.7012019 
                        ≈ 23.701 cubic meters

Thus, the value of 31 cubic yards is approximately equal to 23.701 cubic meters.

Solved Examples on Cubic Yards to Cubic Meters

Example 1: Convert 63.87 cubic yards into cubic meters.

Solution:

We know that,

1 cubic yard = 0.7645549 cubic meters

Therefore,

63.87 cubic yards = 63.87 × 0.7645549 cubic meters

63.87 yd3 = 48.832121463 ≈ 48.832 cubic meters

Therefore, the value of 63.87 cubic yards is approximately equal to 48.832 cubic meters.

Example 2: Convert 77 cubic yards into cubic meters.

Solution:

We know that,

1 cubic yard = 0.7645549 cubic meters

Therefore,

77 cubic yards = 77 × 0.7645549 cubic meters

77 yd3 = 58.8707273 ≈ 58.871 m3

Therefore, the value of 77 cubic yards is approximately equal to 58.871 cubic meters.

Example 3: Convert 28 cubic meters into cubic yards.

Solution:

We know that,

1 cubic meters = 1.30795 cubic yards

Therefore,

28 cubic meters = 28 × 1.30795 cubic yards

28 m3 = 36.622614 yd3
          ≈ 36.622 yd3

Therefore, the value of 28 cubic meters is approximately equal to 36.623 cubic yards.

Example 3: Convert 28 cubic meters into cubic yards.

Solution:

We know that,

1 cubic meters = 1.30795 cubic yards

Therefore,

28 cubic meters = 28 × 1.30795 cubic yards

28 m3 = 36.622614 yd3
          ≈ 36.622 yd3

Therefore, the value of 28 cubic meters is approximately equal to 36.623 cubic yards.

Example 4: Convert 7.9 cubic meters into cubic yards.

Solution:

We know that,

1 cubic meters = 1.30795 cubic yards

Therefore,

7.9 cubic meters = 7.9 × 1.30795 cubic yards

28 m3 = 10.3328695 yd3
          ≈ 10.332 yd3

Therefore, the value of 28 cubic meters is approximately equal to 10.332 cubic yards.

FAQs on Cubic Yards to Cubic Meters

Question 1: What is a cubic yard?

Answer:

A cubic yard is an Imperial or U.S. customary unit of measurement of volume, which is represented as yd3. It is the volume of a cube with measurements of one yard long, one yard wide, and one yard deep.

1 cubic yard = 1 yd × 1 yd × 1 yd

Question 2: What is the conversion of units?

Answer:

In mathematics, while solving some problems, we need to convert units so that the calculations can be carried out. For example, you are asked to find the volume of a cubical container in liters, and its side length is given in inches. So, after calculating the volume of the container, we have to convert the obtained volume in cubic inches to liters.

Question 3: What is the relation between cubic yards and cubic meters?

Answer:

The relationship between cubic yards and cubic meters is given as follows:

  • 1 cubic yard = 0.7645549 cubic meters
  • 1 cubic meter ≈ 1.31 cubic yards

Question 4: How to convert cubic yards into cubic meters?

Answer:

To convert cubic yards to cubic meters, we need to multiply the given cubic yard value by 0.7645549, i.e.,

1 Cubic yard = 0.7645549 cubic meters

n × 1 Cubic yard = n × 0.7645549 cubic meters

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Last Updated : 25 Dec, 2023
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