Volume of a Cube in Cubic Feet Calculator
Calculate the volume of any cube quickly and accurately
Cube Volume Calculator
Result:
1 cubic feet
Volume = s³ (side length cubed)
How to Calculate the Volume of a Cube
The Formula:
Volume = s³
where s is the side length of the cube
Example Calculation:
If a cube has a side length of 3 feet:
- Volume = 3³ = 3 × 3 × 3 = 27 cubic feet
Understanding Cubic Feet
A cubic foot is a unit of volume equal to the space occupied by a cube with edges one foot in length. It is commonly used in the United States and the United Kingdom for measuring volumes of materials, spaces, or containers.
1 cubic foot equals:
- 1,728 cubic inches
- 0.037 cubic yards
- 28.3168 liters
- 7.48052 US gallons
- 6.22884 UK gallons
Cube Volume Conversion Table
| Side Length (ft) | Volume (ft³) | Volume (in³) | Volume (yd³) | Volume (liters) |
|---|
Practical Applications
Shipping Boxes
Calculate the volume of a cubic shipping box to determine freight costs or if it meets size restrictions for delivery services.
Storage Containers
Determine the capacity of storage containers or safes to ensure they fit the items you need to store.
Building Materials
Calculate volumes of cubic blocks, concrete pours, or other construction materials that come in cube-shaped units.
Room Dimensions
Determine the cubic feet of a room (if it’s cubic) for heating, cooling, or ventilation calculations.
Frequently Asked Questions
What is a cubic foot?
A cubic foot is a unit of volume defined as the space occupied by a cube with sides of one foot in length. It’s commonly abbreviated as ft³ or cu ft.
How do I convert cubic feet to other volume units?
To convert cubic feet to other volume units, use these approximations:
- 1 ft³ = 1,728 in³ (cubic inches)
- 1 ft³ = 0.037037 yd³ (cubic yards)
- 1 ft³ = 28.3168 L (liters)
- 1 ft³ = 7.48052 gal (US gallons)
How is the volume of a cube different from a rectangular prism?
A cube is a special type of rectangular prism where all sides are equal. While a cube’s volume is calculated as s³ (where s is the side length), a rectangular prism’s volume is calculated as length × width × height.
Why might I need to calculate the volume of a cube?
You might need to calculate a cube’s volume for various reasons, including:
- Determining shipping or storage costs
- Calculating material needs for construction
- Measuring capacity for containers
- Estimating weight based on density
What’s the difference between volume and area?
Area is a measure of the size of a two-dimensional surface, measured in square units (like ft²). Volume is a measure of three-dimensional space, measured in cubic units (like ft³). For a cube, the surface area is 6s² while the volume is s³.
Related Volume Calculators
Cubic Feet to Cubic Meters
Convert volumes from cubic feet (ft³) to cubic meters (m³) with precision.
Cubic Feet to Cubic Inches
Convert larger volumes in cubic feet to smaller cubic inch measurements.
Cubic Feet to Cubic Yards
Convert cubic feet to cubic yards for construction and landscaping projects.
Cubic Feet to Liters
Convert cubic feet to metric liters for liquid volume measurements.
Cubic Feet to Gallons (US)
Convert cubic feet to US gallons for water tanks and container sizing.
Cubic Feet to Gallons (UK)
Convert cubic feet to Imperial gallons used in the UK and Commonwealth.
Volume of a Cube
Calculate the volume of a cube based on its side length in feet.
Volume of a Rectangular Prism
Calculate the volume of a rectangular prism using length, width, and height.
Volume of a Cylinder
Calculate cylinder volume from radius and height measurements in feet.
Volume of a Sphere
Calculate the volume of a sphere based on its radius in feet.