How to use the square feet to cubic yards calculator?
Please follow this short set of instructions to get your answer!
- Start by entering the area of the space in square feet. This is the total surface area for which you need to calculate the volume. For example, if you're calculating the volume for a concrete slab or floor, input the length and width of the area in feet.
- Next, enter the height or depth of the space in feet. This could be the thickness of a concrete slab, the depth of excavation, or the height of the material you're working with. If the material is uniform in thickness, input the same value across the entire area.
- Once you’ve entered the area and height/depth, click on the "Calculate" button. The calculator will convert the volume from cubic feet to cubic yards by dividing by 27 (since 1 cubic yard = 27 cubic feet).
How to calculate volume in cubic yards?
Our square feet to cubic yards calculator uses a straightforward formula to determine the volume:
Volume = (Area in square feet × Height/Depth in feet) ÷ 27
This formula first calculates the volume in cubic feet, and then converts it to cubic yards by dividing by 27. This is essential for projects like concrete pouring, excavation, or landscaping, where material volume needs to be determined in cubic yards.
For example, if you have a floor area that is 20 feet by 15 feet and a depth of 4 feet, the calculation would be:
Volume = (20 × 15 × 4) ÷ 27 = 44.44 cubic yards
The process is simple, but depending on the complexity of the project, you may need to consider various factors like material type or specific conversion requirements. Don’t worry – this calculator will handle the calculations for you!
Example
Calculating Volume in Cubic Yards
The volume in cubic yards can be calculated from square feet by first finding the area and then converting it to cubic yards. The general formula to calculate volume in cubic yards is:
\[ \text{Volume (cubic yards)} = \frac{\text{Area (sq. ft.)} \times \text{Height (ft.)}}{27} \]In this case, the area is in square feet, and height (or depth) is in feet. To convert from cubic feet to cubic yards, we divide by 27, as there are 27 cubic feet in one cubic yard.
Calculating the Volume of a Floor Area in Cubic Yards
If you have a floor area, you can calculate its volume by finding its area, multiplying by the height (or depth), and then converting to cubic yards. The formula for the volume is:
\[ V = \frac{\text{Length} \times \text{Width} \times \text{Height}}{27} \]Example:
If the floor area has the following dimensions: Length = 20 ft, Width = 15 ft, and Height = 4 ft, the volume can be calculated as follows:
- Step 1: Calculate the volume in cubic feet: \( V = 20 \, \text{ft} \times 15 \, \text{ft} \times 4 \, \text{ft} = 1200 \, \text{cubic feet} \).
- Step 2: Convert the volume to cubic yards: \( \text{Volume} = \frac{1200}{27} = 44.44 \, \text{cubic yards} \).
Calculating the Volume of a Concrete Slab in Cubic Yards
If you have a concrete slab, the formula for the volume is:
\[ V = \frac{\text{Length} \times \text{Width} \times \text{Thickness}}{27} \]Example:
If the concrete slab has the following dimensions: Length = 12 ft, Width = 10 ft, and Thickness = 0.5 ft, the volume can be calculated as follows:
- Step 1: Calculate the volume in cubic feet: \( V = 12 \, \text{ft} \times 10 \, \text{ft} \times 0.5 \, \text{ft} = 60 \, \text{cubic feet} \).
- Step 2: Convert the volume to cubic yards: \( \text{Volume} = \frac{60}{27} = 2.22 \, \text{cubic yards} \).
Real-life Applications of Square Feet to Cubic Yards Calculation
Calculating volume in cubic yards has many practical applications, such as:
- Determining the amount of concrete needed for a slab or foundation.
- Calculating excavation volume for construction projects.
- Estimating landscaping material requirements (e.g., soil, gravel).
Common Operations with Volume Calculation
Floor Area Volume: \( \text{Volume} = \frac{\text{Length} \times \text{Width} \times \text{Height}}{27} \)
Concrete Slab Volume: \( \text{Volume} = \frac{\text{Length} \times \text{Width} \times \text{Thickness}}{27} \)
Other Calculations: For other types of calculations, such as excavation or landscaping, you can use the same formula by adjusting the area and depth as needed.
| Object Type | Description | Steps to Calculate Volume in Cubic Yards | Example |
|---|---|---|---|
| Floor Area | Calculating the volume of a floor area in cubic yards by converting square feet to cubic yards. |
|
If the area is 200 sq. ft. and the height is 3 ft, the volume is \( 200 \times 3 = 600 \, \text{cubic feet} \), and the volume in cubic yards is \( \frac{600}{27} = 22.22 \, \text{cubic yards} \). |
| Concrete Slab | Calculating the volume of a concrete slab in cubic yards by using its area and thickness in feet. |
|
If the slab has dimensions Length = 10 ft, Width = 15 ft, and Thickness = 0.5 ft, the volume is \( 10 \times 15 \times 0.5 = 75 \, \text{cubic feet} \), and the volume in cubic yards is \( \frac{75}{27} = 2.78 \, \text{cubic yards} \). |
| Excavation | Calculating the volume of material to be excavated in cubic yards from a given area in square feet and depth. |
|
If the excavation area is 400 sq. ft. and the depth is 4 ft, the volume is \( 400 \times 4 = 1600 \, \text{cubic feet} \), and the volume in cubic yards is \( \frac{1600}{27} = 59.26 \, \text{cubic yards} \). |
| Real-life Applications | Applying square feet to cubic yards calculations to solve practical problems in construction and landscaping. |
|
If you need 10 cubic yards of soil for landscaping, you can convert the total area and depth of your garden to cubic yards and then find out how much material you need. |
