1 in Cube Volume
Use the calculator below to try a different shape, size, or unit.
Cube Volume
1.00 in³
Example
A cube with a side length of 1.00 in has a volume of 1.00 cubic in.
Surface Area
6.00 in²
What is a Volume Calculator?
Volume measures how much three-dimensional space a shape occupies, expressed in cubic units (like cubic inches or cubic meters). This calculator covers the six most common geometric solids — cube, rectangular box, cylinder, sphere, cone, and pyramid — each using its own formula based on the shape's specific dimensions.
Volume Comparison at the Same Size
Every shape below uses your entered dimension as its defining measurement (side length or radius) applied evenly to all its dimensions — showing how much more (or less) volume each shape holds at an equivalent size.
| Shape | Volume |
|---|---|
| Cube | 1.00 in³ |
| Box (equal sides) | 1.00 in³ |
| Cylinder | 3.14 in³ |
| Sphere | 4.19 in³ |
| Cone | 1.05 in³ |
| Pyramid | 0.33 in³ |
How Is Volume Calculated?
Each shape has its own formula, but they all follow the same underlying idea: volume scales with the product of a shape's key dimensions. Curved shapes (cylinder, sphere, cone) bring in π since their cross-sections are circular; shapes that taper to a point (cone, pyramid) include a ⅓ factor because a tapering solid holds exactly one-third the volume of the prism or cylinder that fully encloses it.
Sphere: (4/3)πr³ | Cone: (1/3)πr²h | Pyramid: (1/3)l×w×h
Why Cones and Pyramids Use One-Third
A cone that shares the same base and height as a cylinder holds exactly one-third of the cylinder's volume — and the same relationship holds between a pyramid and the rectangular box (prism) that shares its base and height. This isn't a coincidence of these particular shapes; it's a general geometric result for any cone-like solid that tapers linearly from a base to a single apex point.
Volume Scales Faster Than Length
Doubling every dimension of a 3D shape doesn't double its volume — it multiplies it by 8 (2³), since volume is a cubic function of length. This is why, for example, a large pizza with double the diameter of a small one contains roughly 4 times the area (2D scaling) but a sphere or cube with double the linear size holds 8 times the volume — a common source of surprise when comparing container sizes.
Volume vs. Surface Area
Surface area measures the total area of a shape's outer boundary (useful for material costs like paint or wrapping), while volume measures the space enclosed inside (useful for capacity, like how much liquid a container holds). As a shape grows uniformly larger, volume grows faster than surface area — which is why very large containers are generally more material-efficient per unit of capacity than many small ones.
Example — Your Current Inputs
A cube with a side length of 1.00 in has a volume of 1.00 cubic in.
Additional Example — A Basketball vs. a Storage Cube
A basketball (about 4.7 inches in radius) has a volume of roughly 434 cubic inches. A storage cube with a 9.4-inch side (the basketball's diameter) holds about 830 cubic inches — nearly double, since a sphere only fills about 52% of the cube that tightly encloses it. That gap is the mathematical reason round items always waste some "dead space" when packed into square boxes.
About These Parameters
- Shape
- Selecting a shape shows only the dimensions that shape actually needs — a sphere only needs a radius, while a box needs length, width, and height.
- Unit
- A label only — this calculator doesn't convert between units, so make sure every dimension you enter is already in the same unit you select here.
Frequently Asked Questions
What's the difference between a cone's height and its slant height?
Height is the straight vertical distance from the base to the apex. Slant height is the distance along the cone's curved surface from the base edge to the apex — always longer than the height (found via the Pythagorean theorem from the radius and height). This calculator asks only for height and derives slant height automatically for the surface area formula.
Can this calculator handle a pyramid with a non-square base?
Yes — entering different length and width values models a rectangular-base pyramid rather than a square one. Only the base needs to be a rectangle; the formula still works the same way.
Why do liquid volumes use gallons or liters instead of cubic inches?
Gallons, liters, and similar units are just renamed, rescaled cubic-volume units — one US gallon equals exactly 231 cubic inches, for example. They exist for convenience with everyday quantities rather than representing a fundamentally different kind of measurement.