Volume of Cube Formula
Volume of a cube is defined as the total number of cube units that the cube occupies completely. A cube is a three-dimensional shape with six faces, twelve edges, and eight vertices. Therefore, the volume of a cube is the space surrounded by its six faces. Volume of the cube is calculated using two formulas which are discussed below:
Volume of Cube If Side is Given
Formula to calculate the volume of a cube when the side (Let a) of the cube is given
Volume of Cube = a × a × a = a3
Thus, when the edge length is known volume of the cube can easily be found
Example: Find the volume of a cube with a side of 5 cm
Solution:
Given,
Edge length( a) = 5 cm
Volume = 53
Volume = 5 × 5 × 5 = 125 cm3
Volume of a Cube If Diagonal is Given
Formula to calculate volume of a cube when diagonal of cube is given
Volume of Cube = [√3 × (d)3] / 9
where,
- d is Diagonal of Cube
Volume of a Cube
Volume of a Cube is defined as the total number of cubic units occupied by the cube completely. A cube is a three-dimensional solid figure, having 6 square faces. Volume is nothing but the total space occupied by an object. An object with a larger volume would occupy more space. The volume of the cube is calculated by multiplying the length, breadth, and height of the cube. For a cube the length, breadth, and height are equal. Thus, the volume of a cube is just a side cube.
In this article, we will understand the volume of a cube in detail along with the formula and solved examples in the following sections. Also, learn about the Surface area of the cube here.
Table of Content
- What is the Volume of a Cube?
- Volume of Cube Formula
- Volume of a Cube Equation
- Derivation of Volume of a Cube
- How to Find the Volume of a Cube?
- Surface Area of a Cube
- Volume of a Cube and Cuboid
- Examples of Volume of a Cube from Everyday Life
- Solved Examples on Volume of Cube
- Volume of a Cube Problems
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