ganak.appVolume Calculator
Calculate volume for 10 geometric shapes including cubes, cylinders, spheres, cones, and pyramids. Instant results in ft³, m³, liters, and gallons with surface area. Supports imperial and metric units.
Cube
Volume in All Units
Volume converted to common measurement units
Cubic Feet
1,000.00ft\u00B3
Cubic Inches
17,28,000in\u00B3
Cubic Yards
37.0370yd\u00B3
Cubic Meters
28.3168m\u00B3
Cubic Centimeters
2,83,16,800cm\u00B3
Liquid Volume
Capacity in liquid measurement units
Liters
28,316.80L
US Gallons
7,480.52gal
Surface Area
Total outer surface area of the shape
Surface Area
600.0000ft²
How to Calculate Volume
Understanding volume formulas for common 3D shapes
Volume measures the three-dimensional space enclosed by a surface. It is expressed in cubic units such as cubic feet (ft³), cubic meters (m³), liters (L), or gallons (gal). The formula depends on the shape being measured.
Cube
V = s³
All sides equal. Multiply the side length by itself three times.
Side = 5 ft → V = 125 ft³
Rectangular Prism (Box)
V = l × w × h
Multiply length, width, and height. The most common volume calculation.
4 × 3 × 2 ft → V = 24 ft³
Sphere
V = (4/3)πr³
Four-thirds of pi times the radius cubed.
r = 6 in → V = 904.78 in³
Cylinder
V = πr²h
Pi times the radius squared times the height.
r = 3 ft, h = 10 ft → V = 282.74 ft³
Cone
V = (1/3)πr²h
One-third of a cylinder with the same base and height.
r = 3 ft, h = 10 ft → V = 94.25 ft³
Square Pyramid
V = (1/3) × base² × h
One-third of the base area times the height.
base = 6 ft, h = 9 ft → V = 108 ft³
Volume Units and Conversions
Common conversion factors between volume units
The SI unit for volume is the cubic meter (m³). For everyday use, liters and gallons are more common for liquids, while cubic feet and cubic yards are standard in construction.
Common Mistakes When Calculating Volume
Avoid these frequent errors in volume calculations
Confusing Radius with Diameter
The radius is half the diameter. Using the diameter in a radius-based formula will give you 8 times the correct volume for a sphere.
Mixing Unit Systems
Entering some measurements in inches and others in feet will produce incorrect results. Convert all measurements to the same unit first.
Forgetting Wall Thickness
For tanks and containers, the internal volume is smaller than the external dimensions suggest. Subtract the wall thickness from each dimension.
Using Area Formulas Instead of Volume
Area (πr²) gives the surface of a circle. Volume (πr²h) adds the third dimension. Always check that your formula includes all three dimensions.
Real-World Applications
Where volume calculations are used in practice
Construction & Concrete
Calculate concrete, gravel, or fill needed for foundations, columns, and slabs. Volume determines how many cubic yards of material to order.
Pools, Tanks & Aquariums
Determine water capacity in gallons or liters for pools, fish tanks, water heaters, and storage tanks.
Shipping & Logistics
Calculate package or container volumes for shipping cost estimation. Carriers often charge by dimensional weight based on volume.
Science & Engineering
Determine fluid capacity, material requirements, displacement, and container sizing for laboratory and engineering applications.
Frequently Asked Questions
Common questions about volume calculations, formulas, and unit conversions