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Formula for Calculating Cubic Yards

Cubic Yards Formula:

\[ V_{yd³} = \frac{L \times W \times H}{27} \]

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1. What is the Cubic Yards Formula?

Definition: This formula calculates the volume in cubic yards from measurements in feet.

Purpose: It converts rectangular volume measurements from cubic feet to cubic yards, which is commonly used in construction and landscaping.

2. How Does the Formula Work?

The formula used is:

\[ V_{yd³} = \frac{L \times W \times H}{27} \]

Where:

Explanation: Since 1 cubic yard equals 27 cubic feet (3ft × 3ft × 3ft), we divide the cubic feet result by 27 to get cubic yards.

3. Importance of Cubic Yards Calculation

Details: Cubic yards are the standard measurement for materials like concrete, soil, mulch, and gravel in the US construction industry.

4. Using the Calculator

Tips: Enter the length, width, and height in feet. All values must be > 0. The result will be in cubic yards.

5. Frequently Asked Questions (FAQ)

Q1: Why divide by 27?
A: Because there are 27 cubic feet in 1 cubic yard (3ft × 3ft × 3ft = 27ft³).

Q2: Can I use inches instead of feet?
A: Yes, but first convert inches to feet by dividing by 12, then use the calculator.

Q3: What if my shape isn't rectangular?
A: For cylinders, use (π × radius² × height)/27. For irregular shapes, break them down into rectangular sections.

Q4: How accurate is this calculation?
A: It's mathematically precise for rectangular volumes. Real-world materials may require adjustments for compaction.

Q5: When would I need this calculation?
A: When ordering materials like concrete, mulch, or soil that are typically sold by the cubic yard.

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