What is the Volume of a Cube?
The Platonic solid which has a square for every face. It is a solid three-dimensional figure, which has 6 faces, 12 edges and 8 vertices.
Volume of a cube
A cube with side length 2 has volume 2.
A cube with side length a has volume a 3.
Volume of Cube = a3
Volume of a cube = (length of sides of the cube)3
Solved Examples of Cube
Example 1: Find the volume of the cube, having the sides of length 6 cm.
Given, the length of sides of the cube is 6 cm.
We know, Volume of a cube = (length of sides of the cube)3
Therefore, Volume, V = (6 cm)3
V = 216 cm3
Example 2: Find the length of the edges of the cube, if its volume is equal to 343 cm 3.
Given, Volume of the cube = 343 cm 3
Let the length of the edges is ‘a’.
We know, by the formula,
The volume of a cube = (length of edges of the cube)3
Substituting the value, we get,
343 = a 3
Or a = 3√343
Or a = 7 cm
Therefore, the length of the cube is 7 cm.