Calculate volume, surface area, and diagonals of a cube.
The Cube Volume Calculator is a straightforward geometric utility designed to compute the volume and total surface area of a cube given the length of one of its sides. A cube is a three-dimensional solid object bounded by six square faces, facets, or sides, with three faces meeting at each vertex. It is one of the five Platonic solids, characterized by equal side lengths (s), equal interior angles of 90 degrees, and absolute symmetry.
The volume (V) of a cube represents the amount of three-dimensional space it occupies. It is calculated by multiplying the length, width, and height together. Since all three dimensions are equal in a cube, the formula is simply: V = s³, where s is the side length. The total surface area (A) of a cube represents the sum of the areas of its six square faces. Since the area of one face is s², the formula for the total surface area is A = 6s². The space diagonal (d), which is the distance between opposite corners, can be calculated as d = s√3.
Cube calculations are fundamental in logistics, packaging, geology, and daily measurements. They are used to determine the storage capacity of boxes, the volume of ice cubes, or the space occupied by shipping containers. The cube volume calculator provides fast, exact calculations, helping users estimate packaging sizes, shipping costs, and solve algebra assignments easily.
Properties of a Cube
A cube is a regular 3D solid bounded by six square faces.
- Volume:
V = s³ - Surface Area:
A = 6 × s² - Space Diagonal (corner to corner):
d = s × √3
How it Works & Formula
Calculates the volume capacity and outer surface area of a 3D regular cube.
Practical Examples
A cube box with 10-inch sides: Volume = 10³ = 1000 in³, Surface Area = 6 × 10² = 600 in².
Frequently Asked Questions
How many edges and vertices does a cube have?
A cube has 12 equal edges, 8 vertices (corners), and 6 square faces.