The volume of a cube tells us how much space is enclosed inside a perfectly square-shaped 3D object. Whether it's a storage box, a tank, or a building block, this formula helps you measure its internal capacity accurately. Understanding this concept is essential in geometry, mensuration, and many competitive exams.
Volume of a Cube Formula Overview
| Formula | Variables & Meaning | When It Is Used |
|---|---|---|
| Volume = a³ | a = side length of the cube | To find the capacity or internal space of a cube |
What is Volume of a Cube in Maths?
In mathematics, the volume of a cube refers to the amount of three-dimensional space it occupies. A cube has six identical square faces, and its volume is found by multiplying the side length three times:
a × a × a = a³
The unit of volume is always cubic, such as cm³, m³, or mm³, because it measures 3D space. This formula is widely used for calculating the capacity of containers, tanks, shipping boxes, and many storage items.
In competitive exams like CUET, SSC, Banking, and JEE, volume-related questions appear frequently. Knowing this simple formula helps you solve 3D geometry problems quickly and accurately.
Examples to Calculate Volume of a Cube
Example 1: Side = 4 cm
Step 1: Volume of a cube = a³
Step 2: = 4 × 4 × 4
Step 3: = 64 cm³
So, the volume of the cube is 64 cm³.
Example 2: Side = 10 m
Step 1: Volume of a cube = a³
Step 2: = 10 × 10 × 10
Step 3: = 1000 m³
So, the volume of the cube is 1000 m³.
FAQs about Volume of a Cube Formula
Q1. What is the volume of a cube?
It is the total space inside the cube measured in cubic units.
Q2. What is the unit of volume of a cube?
It depends on the side length: cm³, m³, or mm³.
Q3. How is cube volume different from surface area?
Volume measures inner space, while surface area measures the outside covering.
Q4. Can we find the volume without knowing the side?
No, the side length is required to calculate the volume.
Q5. Why do we cube the side length?
Because volume is 3-dimensional, so the side is multiplied three times.
Q6. Where is the cube volume used in real life?
It is used to calculate storage space, packing dimensions, and liquid capacity.