125
units³
150
units²
8.6603
units
7.0711
units
125
units³
150
units²
8.6603
units
7.0711
units
The Cube Volume Calculator computes the volume of a cube given its edge length. The volume of a cube is the amount of three-dimensional space enclosed within its six square faces. Because all edges of a cube are equal, only a single measurement is needed to determine the volume.
For a cube with edge length $$a$$:
$$V = a^3$$
This formula is the origin of the term cubing a number—raising it to the third power. The notation $$a^3$$ literally means "$$a$$ cubed," reflecting the geometric operation of building a cube with side length $$a$$.
A cube is a special rectangular prism where length, width, and height are all equal. The general prism volume formula is:
$$V = l \times w \times h$$
Substituting $$l = w = h = a$$:
$$V = a \times a \times a = a^3$$
Alternatively, using integration, the cube of side $$a$$ with one corner at the origin occupies the region $$0 \leq x \leq a$$, $$0 \leq y \leq a$$, $$0 \leq z \leq a$$:
$$V = \int_0^a \int_0^a \int_0^a dx\, dy\, dz = a^3$$
Volume units follow the cube of the length unit. Common conversions include:
A cube with edge length 10 cm has volume 1000 cm³ = 1 liter, which is why the liter was originally defined this way.
Cube volume calculations arise frequently in daily life and professional settings. In shipping, cubic volume determines freight costs. In construction, concrete volume for cubic foundations must be estimated accurately. In science, the mole concept connects to Avogadro’s number and cubic unit cells in crystallography. A unit cell of sodium chloride (table salt) is a cube with edge length about 5.64 angstroms.
In computing, storage capacity is sometimes described in terms of data cubes. In cooking, food is often cut into cubes for even cooking—knowing the volume of each piece helps with portioning.
To find the edge length from a known volume, take the cube root:
$$a = \sqrt[3]{V} = V^{1/3}$$
For example, a volume of 64 cm³ gives $$a = \sqrt[3]{64} = 4$$ cm.
Enter the edge length to instantly compute the cube’s volume.
Input the edge length $$a$$ of the cube. The calculator raises it to the third power ($$a^3$$) to compute the volume. The result is in cubic units of whatever unit you used for the edge.
The output is the volume in cubic units. If the edge is in centimeters, the volume is in cm³. Remember: 1 cm³ = 1 mL, and 1000 cm³ = 1 liter. For conversions to other systems, apply the appropriate cubic conversion factor.
Inputs
Results
A standard die with edge 1.6 cm has volume V = 1.6³ = 4.096 cm³, or about 4.1 mL.
Inputs
Results
A cube with edge 100 cm (1 m) has volume 1,000,000 cm³ = 1 m³ = 1000 liters.
Cubing a number $$a$$ means computing $$a^3 = a \times a \times a$$. Geometrically, it represents the volume of a cube with edge length $$a$$—the product of three equal dimensions.
Multiply by 16.387. Since 1 inch = 2.54 cm, then 1 in³ = 2.54³ ≈ 16.387 cm³.
Yes. The formula $$V = a^3$$ works for any positive real number, including decimals and irrational numbers.
A standard Rubik’s Cube has an edge of about 5.7 cm, giving volume ≈ 185.19 cm³. Each small cubelet is about 1.9 cm per edge with volume ≈ 6.86 cm³.
1 cm³ equals exactly 1 milliliter (mL). Therefore 1000 cm³ = 1 liter. A 10-cm-edge cube holds exactly 1 liter.
Because volume scales as the cube of the linear dimension: $$(2a)^3 = 8a^3$$. This cubic scaling law applies to all similar solids, not just cubes.
Roboculator Team
The Roboculator Team explains calculations, planning tools, and practical formulas in clear language for real-life situations.
How helpful was this calculator?
Be the first to rate!
