Loading the page...
Preparing tools and content for you. This usually takes a second.
Preparing tools and content for you. This usually takes a second.
Fetching calculator categories and tools for this section.
Free cube calculator & volume calculator. Calculate cube volume, surface area, space diagonal & face diagonal with step-by-step formulas. Our calculator uses geometric formulas to compute all cube properties including volume (a³), surface area (6a²), and diagonals from any known measurement.
Last updated: February 2, 2026
Need a custom geometry calculator for your educational platform? Get a Quote
Choose what measurement you want to start with
Enter the side length of the cube
Side Length (a):
5 cm
Volume (V = a³):
125 cm³
Formula: V = side³
Surface Area (A = 6a²):
150 cm²
Formula: A = 6 × side²
Space Diagonal (d = a√3):
8.6603 cm
Diagonal through the cube's interior
Face Diagonal:
7.0711 cm
a√2
Total Edge Length:
60 cm
12 × a
Cube Formulas:
Cube Properties:
Formula
V = a³
Calculate the three-dimensional space inside the cube
Formula
A = 6a²
Sum of areas of all six square faces
Formulas
d = a√3, f = a√2
Space diagonal through interior and face diagonal
Formulas
a = ∛V, a = √(A/6)
Reverse calculate side length from other properties
Formula
P = 12a
Total length of all edges combined
Properties
6 faces, 12 edges, 8 vertices
All geometric properties and characteristics
Cube with side length = 5 cm
Volume
125 cm³
5³ = 125
Surface Area
150 cm²
6 × 5² = 150
Space Diagonal
8.66 cm
5√3 ≈ 8.66
Face Diagonal
7.07 cm
5√2 ≈ 7.07
Our cube calculator computes all geometric properties of a cube from any known measurement. The calculator uses fundamental geometric formulas to calculate volume, surface area, diagonals, and perimeter based on the relationship between a cube's dimensions.
Volume:
V = a³where 'a' is the side length
Surface Area:
A = 6a²sum of 6 square faces
Space Diagonal:
d = a√3diagonal through the cube's interior
Face Diagonal:
f = a√2diagonal across one face
All cube properties are derived from the side length. The calculator can work backwards from volume (a = ∛V), surface area (a = √(A/6)), or diagonal (a = d/√3) to find all other properties.
Shows cube dimensions, faces, edges, and diagonals
A cube is a regular hexahedron and one of the five Platonic solids. Its perfect symmetry means all edges, faces, and angles are equal. The volume formula (a³) represents the three-dimensional space, while the surface area formula (6a²) sums the six identical square faces. The space diagonal formula comes from the Pythagorean theorem applied in 3D space.
Need help with other geometry calculations? Check out our trapezoid calculator and triangular prism calculator.
Get Custom Calculator for Your PlatformResults Summary:
Volume: 216 cm³
Surface Area: 216 cm²
Space Diagonal: 10.39 cm
Face Diagonal: 8.49 cm
If Volume = 64 cm³
Side = ∛64 = 4 cm
If Surface Area = 96 cm²
Side = √(96/6) = 4 cm
Share it with others who need help with cube calculations
Suggested hashtags: #Geometry #Cube #Mathematics #Education #Calculator