Cubic Yards Calculator
The Cubic Yards Calculator is an indispensable tool for anyone needing to measure volume in cubic yards. This unit of measurement is commonly used in construction, landscaping, and various other fields where calculating space is essential. Whether you’re estimating the amount of concrete needed for a slab or determining how much soil to fill a garden bed, this calculator can help you obtain accurate results effortlessly.
How to Use the Cubic Yards Calculator
Using the Cubic Yards Calculator is straightforward. Simply input the dimensions of the space you wish to measure in yards (length, width, and height), and the calculator will return the volume in cubic yards. It can also convert volumes from cubic feet or cubic meters into cubic yards, making it versatile for various applications.
Conversion Formulas
- Cubic Yards to Cubic Feet: Volume (cu ft)=Volume (cu yd)×27\text{Volume (cu ft)} = \text{Volume (cu yd)} \times 27Volume (cu ft)=Volume (cu yd)×27
- Cubic Feet to Cubic Yards: Volume (cu yd)=Volume (cu ft)27\text{Volume (cu yd)} = \frac{\text{Volume (cu ft)}}{27}Volume (cu yd)=27Volume (cu ft)
- Cubic Yards to Cubic Meters: Volume (cu m)=Volume (cu yd)×0.7646\text{Volume (cu m)} = \text{Volume (cu yd)} \times 0.7646Volume (cu m)=Volume (cu yd)×0.7646
Practical Example Table
The following table provides practical examples for calculating volume in cubic yards for various shapes and configurations. Each example includes the dimensions and the resulting volume in both cubic yards and cubic feet, along with a real-world application.
| Shape | Dimensions (yards) | Volume Calculation | Volume (cu yd) | Volume (cu ft) | Application |
|---|---|---|---|---|---|
| Rectangular Prism | 5 x 3 x 2 | V = l × w × h | 30 | 810 | Ideal for estimating the volume of soil needed to fill a rectangular garden bed measuring 5 yards long, 3 yards wide, and 2 yards deep. |
| Cube | 4 | V = s³ | 64 | 1728 | Suitable for determining the volume of a cube-shaped storage container measuring 4 yards on each side. |
| Cylindrical Tank | Radius: 2, Height: 5 | V = π × r² × h | 25.13 | 678.32 | Useful for calculating the volume of a cylindrical water tank with a radius of 2 yards and a height of 5 yards. |
| Cone | Radius: 2, Height: 6 | V = (1/3) × π × r² × h | 12.57 | 339.78 | Ideal for determining the volume of a conical garden feature with a radius of 2 yards and a height of 6 yards. |
| Rectangular Prism | 10 x 5 x 4 | V = l × w × h | 200 | 5400 | Perfect for estimating the volume of concrete needed for a foundation measuring 10 yards long, 5 yards wide, and 4 yards deep. |
| Sphere | Radius: 3 | V = (4/3) × π × r³ | 113.1 | 3052.66 | Useful for calculating the volume of a spherical water feature with a radius of 3 yards. |
| Irregular Shape | Various Sections | Add up volumes of individual sections | 85 | 2295 | Ideal for estimating the total volume of an irregularly shaped pond or garden area. |
| Triangular Prism | Base: 3, Height: 4, Length: 5 | V = (1/2) × b × h × l | 30 | 810 | Useful for determining the volume of a triangular-shaped storage unit measuring 3 yards at the base, 4 yards high, and 5 yards long. |
| Rectangular Prism | 6 x 6 x 3 | V = l × w × h | 108 | 2916 | Ideal for calculating the volume of a rectangular planter box measuring 6 yards long, 6 yards wide, and 3 yards deep. |
| Pyramid | Base Length: 4, Base Width: 4, Height: 5 | V = (1/3) × b × w × h | 21.33 | 576 | Useful for calculating the volume of a pyramid-shaped garden feature with a square base of 4 yards and a height of 5 yards. |
Detailed Explanation of Calculations
To provide a better understanding of how to arrive at the volume calculations, let’s break down a few examples in detail:
- Example 1 – Rectangular Prism Volume of 5 Yards by 3 Yards by 2 Yards:
- Formula Used: V = l × w × h
- Calculation: V = 5 × 3 × 2 = 30 cubic yards.
- Conversion to Cubic Feet: Volume in cubic feet = 30 × 27 = 810 cubic feet.
- Application: This calculation is ideal for estimating the volume of soil needed to fill a rectangular garden bed measuring 5 yards long, 3 yards wide, and 2 yards deep.
- Example 2 – Cube Volume of 4 Yards:
- Formula Used: V = s³
- Calculation: V = 4³ = 64 cubic yards.
- Conversion to Cubic Feet: Volume in cubic feet = 64 × 27 = 1728 cubic feet.
- Application: This is suitable for determining the volume of a cube-shaped storage container measuring 4 yards on each side.
- Example 3 – Cylindrical Tank Volume with Radius of 2 Yards and Height of 5 Yards:
- Formula Used: V = π × r² × h
- Calculation: V = 3.1416 × (2)² × 5 = 25.13 cubic yards.
- Conversion to Cubic Feet: Volume in cubic feet = 25.13 × 27 = 678.32 cubic feet.
- Application: This calculation helps determine the volume of a cylindrical water tank with a radius of 2 yards and a height of 5 yards.
- Example 4 – Cone Volume with Radius of 2 Yards and Height of 6 Yards:
- Formula Used: V = (1/3) × π × r² × h
- Calculation: V = (1/3) × 3.1416 × (2)² × 6 = 12.57 cubic yards.
- Conversion to Cubic Feet: Volume in cubic feet = 12.57 × 27 = 339.78 cubic feet.
- Application: This example is useful for determining the volume of a conical garden feature with a radius of 2 yards and a height of 6 yards.
- Example 5 – Sphere Volume with Radius of 3 Yards:
- Formula Used: V = (4/3) × π × r³
- Calculation: V = (4/3) × 3.1416 × (3)³ = 113.1 cubic yards.
- Conversion to Cubic Feet: Volume in cubic feet = 113.1 × 27 = 3052.66 cubic feet.
- Application: This calculation helps in estimating the volume for a spherical water feature with a radius of 3 yards.
- Example 6 – Triangular Prism Volume with Base of 3 Yards, Height of 4 Yards, and Length of 5 Yards:
- Formula Used: V = (1/2) × b × h × l
- Calculation: V = (1/2) × 3 × 4 × 5 = 30 cubic yards.
- Conversion to Cubic Feet: Volume in cubic feet = 30 × 27 = 810 cubic feet.
- Application: This calculation is useful for determining the volume of a triangular-shaped storage unit measuring 3 yards at the base, 4 yards high, and 5 yards long.