Cubic Feet Calculator
The Cubic Feet Calculator is an essential tool for anyone involved in fields such as construction, landscaping, shipping, and storage, where volume measurements are crucial. Cubic feet measure three-dimensional space, making it vital for estimating the volume of various objects, rooms, or containers. This calculator simplifies the process of calculating and converting cubic feet, ensuring accuracy in your projects.
How to Use the Cubic Feet Calculator
Using the Cubic Feet Calculator is straightforward. You input the dimensions of the space or object you wish to measure—length, width, and height—and the calculator will compute the volume in cubic feet. The tool can also convert volumes from cubic meters, liters, or gallons into cubic feet, making it versatile for various applications.
Conversion Formulas
- Cubic Feet to Cubic Meters: Volume (cu m)=Volume (cu ft)35.3147\text{Volume (cu m)} = \frac{\text{Volume (cu ft)}}{35.3147}Volume (cu m)=35.3147Volume (cu ft)
- Cubic Feet to Liters: Volume (liters)=Volume (cu ft)×28.3168\text{Volume (liters)} = \text{Volume (cu ft)} \times 28.3168Volume (liters)=Volume (cu ft)×28.3168
- Cubic Feet to Gallons: Volume (gallons)=Volume (cu ft)×7.48052\text{Volume (gallons)} = \text{Volume (cu ft)} \times 7.48052Volume (gallons)=Volume (cu ft)×7.48052
Practical Example Table
The following table provides practical examples for calculating volume in cubic feet for various shapes and configurations. Each example displays the dimensions, the resulting volume in cubic feet and liters, along with a real-world application.
| Shape | Length (feet) | Width (feet) | Height (feet) | Volume Calculation | Volume (cu ft) | Volume (liters) | Application |
|---|---|---|---|---|---|---|---|
| Rectangular Prism | 10 | 5 | 4 | V = l × w × h | 200 | 566.56 | Ideal for calculating the storage capacity of a box measuring 10 ft by 5 ft by 4 ft. |
| Cube | 6 | 6 | 6 | V = s³ | 216 | 612.24 | Suitable for estimating the volume of a cubic storage container with each side measuring 6 ft. |
| Rectangular Prism | 12 | 8 | 5 | V = l × w × h | 480 | 1361.99 | Useful for measuring the volume of a rectangular fish tank that is 12 ft long, 8 ft wide, and 5 ft high. |
| Cube | 4 | 4 | 4 | V = s³ | 64 | 181.70 | Helpful for determining the volume of a small cubic planter measuring 4 ft on each side. |
| Rectangular Prism | 15 | 10 | 3 | V = l × w × h | 450 | 1274.72 | Perfect for estimating the volume of a rectangular storage unit measuring 15 ft long, 10 ft wide, and 3 ft high. |
| Cylinder | Diameter: 3 | Height: 5 | – | V = π × (r²) × h | 35.34 | 100.00 | Ideal for measuring the volume of a cylindrical water tank with a diameter of 3 ft and height of 5 ft. |
| Sphere | Diameter: 6 | – | – | V = (4/3) × π × (r³) | 113.10 | 319.00 | Useful for calculating the volume of a spherical ball or tank with a diameter of 6 ft. |
| Cone | Diameter: 4 | Height: 5 | – | V = (1/3) × π × (r²) × h | 16.76 | 47.46 | Helpful for determining the volume of a conical planter with a diameter of 4 ft and height of 5 ft. |
| Prism (Triangle Base) | Base: 3 | Height: 4 | Length: 10 | V = 0.5 × b × h × l | 60 | 169.95 | Useful for calculating the volume of a triangular prism used in construction with a base of 3 ft, height of 4 ft, and length of 10 ft. |
| Box (Irregular) | Length: 5 | Width: 3 | Height: 2 | V = l × w × h | 30 | 84.95 | Suitable for measuring the volume of a box with irregular dimensions, providing flexibility for various storage needs. |
Detailed Explanation of Calculations
To illustrate how to arrive at the volume calculations, let’s break down a few examples in detail:
- Example 1 – Rectangular Prism Volume of 10 Feet by 5 Feet by 4 Feet:
- Formula Used: V = l × w × h
- Calculation: V = 10 × 5 × 4 = 200 cubic feet.
- Conversion to Liters: Volume in liters = 200 × 28.3168 = 566.56 liters.
- Application: This is ideal for calculating the storage capacity of a box measuring 10 feet long, 5 feet wide, and 4 feet high.
- Example 2 – Cube Volume of 6 Feet:
- Formula Used: V = s³
- Calculation: V = 6³ = 216 cubic feet.
- Conversion to Liters: Volume in liters = 216 × 28.3168 = 612.24 liters.
- Application: This calculation is suitable for estimating the volume of a cubic storage container with each side measuring 6 feet.
- Example 3 – Cylinder Volume with Diameter of 3 Feet and Height of 5 Feet:
- Formula Used: V = π × (r²) × h
- Calculation:
- Radius (r) = Diameter / 2 = 3 / 2 = 1.5 feet.
- V = π × (1.5)² × 5 ≈ 35.34 cubic feet.
- Conversion to Liters: Volume in liters = 35.34 × 28.3168 = 100.00 liters.
- Application: Useful for measuring the volume of a cylindrical water tank with a diameter of 3 feet and height of 5 feet.
- Example 4 – Sphere Volume with Diameter of 6 Feet:
- Formula Used: V = (4/3) × π × (r³)
- Calculation:
- Radius (r) = Diameter / 2 = 6 / 2 = 3 feet.
- V = (4/3) × π × (3)³ ≈ 113.10 cubic feet.
- Conversion to Liters: Volume in liters = 113.10 × 28.3168 = 319.00 liters.
- Application: This is useful for calculating the volume of a spherical ball or tank with a diameter of 6 feet.
- Example 5 – Cone Volume with Diameter of 4 Feet and Height of 5 Feet:
- Formula Used: V = (1/3) × π × (r²) × h
- Calculation:
- Radius (r) = Diameter / 2 = 4 / 2 = 2 feet.
- V = (1/3) × π × (2)² × 5 ≈ 16.76 cubic feet.
- Conversion to Liters: Volume in liters = 16.76 × 28.3168 = 47.46 liters.
- Application: This calculation is helpful for determining the volume of a conical planter with a diameter of 4 feet and height of 5 feet.
- Example 6 – Triangular Prism Volume with Base of 3 Feet, Height of 4 Feet, and Length of 10 Feet:
- Formula Used: V = 0.5 × b × h × l
- Calculation: V = 0.5 × 3 × 4 × 10 = 60 cubic feet.
- Conversion to Liters: Volume in liters = 60 × 28.3168 = 169.95 liters.
- Application: Useful for calculating the volume of a triangular prism used in construction with a base of 3 feet, height of 4 feet, and length of 10 feet.