Cube Volume Area Diagonal
Find cube volume, surface area, and space diagonal instantly from side length. Free online 3D geometry calculator with formulas V = a^3, SA = 6a^2, d = asqrt3 and interactive charts.
About This Calculator
The Cube V A D Calculator computes three key properties of a cube from a single input -- the side length a. It returns the Volume (V = a^3), Surface Area (SA = 6a^2), and Space Diagonal (d = asqrt3) -- hence the name V, A, D.
A cube is a three-dimensional solid with six equal square faces, twelve equal edges, and eight vertices. All edges are the same length, making it one of the simplest 3D shapes to analyze. This calculator is ideal for students learning geometry, architects calculating material quantities, and anyone needing quick cube measurements.
For related calculations, try our Cube Volume Calculator for volume-only results, Cube Surface Area Calculator for surface area only, or the Cuboid Calculator for rectangular prisms with different side lengths.
Frequently Asked Questions
What formulas does the Cube V A D calculator use?
The calculator uses three standard cube formulas: Volume V = a^3 (side cubed), Surface Area SA = 6a^2 (six faces of area a^2 each), and Space Diagonal d = asqrt3 (the longest diagonal from one corner to the opposite corner through the interior).
What is the space diagonal of a cube?
The space diagonal (also called body diagonal) is the line segment connecting two opposite vertices of a cube through its interior. For a cube with side length a, the space diagonal d = asqrt3, which is longer than the face diagonal (asqrt2).
How is cube surface area different from volume?
Surface area measures the total area of all six faces of a cube (SA = 6a^2, in square units). Volume measures the three-dimensional space inside the cube (V = a^3, in cubic units). For a cube with side 5 units, surface area is 150 square units and volume is 125 cubic units.
What units should I use for the side length?
Use any consistent linear unit. Volume is in cubic units, surface area in square units, and diagonal in the same linear unit. For example, side 5 m gives volume 125 m^3, surface area 150 m^2, and diagonal 8.66 m.
Can I calculate these values for a rectangular prism instead?
No, this calculator is for cubes only (all sides equal). For rectangular prisms with different length, width, and height, use our Cuboid calculator which computes volume, surface area, and diagonal for any rectangular box.
Is this cube V A D calculator free?
Yes, all calculators on Calculy are completely free to use with no limits or registration required.
What is the difference between face diagonal and space diagonal?
The face diagonal runs across one face of the cube (d_face = asqrt2), while the space diagonal runs through the interior from one corner to the opposite corner (d_space = asqrt3). The space diagonal is always longer than any face diagonal.
What are real-world applications of cube volume and surface area?
Cube volume calculations are used in packaging, shipping, and storage to determine capacity. Surface area is used in painting, coating, and material estimation. Architects and engineers use these formulas for designing cubic structures, tanks, and containers.