Derivation of Volume of a Cube
Volume of any object is the space occupied by that solid in the 3-D plane. In a cube all the sides i.e. length, breadth, and height are equal (l = b = h). Formula for volume of a cube is derived as follows:
- A cube can be considered as layers of squares that are stacked on top of one another. Thus, for the base of a square shape, the area is length multiplied by its breadth.
- In a square, length, and breadth are equal, thus the area will be “a2“.
- A cube is made by adding multiple layers of square sheets on top of one other until the height becomes “a” unit. Thus, the height of the cube is “a”.
Now volume of any regular figure is base area multiplied by height. Thus,
Volume of Cube = Base Area × Height = a2 × a = a3 units3
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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