# Cube Formula

## Cube Formula

A cube is a solid, three-dimensional object with six square faces. It is a geometric shape with six equal faces, eight vertices, and twelve equal edges. Cube Formula determines a cube’s surface area, diagonals, and volume. Students can learn all the formulas of cube and how to calculate volume, surface area and diagonal using Cube formula in this post by Extramarks.

## What is a Cube?

A cube is a solid, three-dimensional object having six square faces and equal-length sides. Examples of cubes in real life include Rubik’s cubes, dice, and ice cubes, among others.

### Properties of Cube

The following are the important properties of cube:

• It has all its faces in a square shape.
• All the faces or sides have equal dimensions.
• The plane angles of the cube are the right angles.
• Each of the faces meets the other four faces.
• Each of the vertices meets the three faces and three edges.
• The edges opposite to each other are parallel.

## What is Cube Formula

The Cube Formula are mentioned below:

### Cube Surface Area Formula

Cube Surface area is of two types Lateral Surface Area and Total Surface Area. The formulas for them are mentioned below:

Lateral Surface Area of Cube = 4a²

Total Surface Area = LSA + Area of the Top and Bottom Faces

TSA = 4a² + a² + a²

TSA = 6a²

Total Surface Area is also called Surface Area of Cube. Here, in the above formulas, a is side length of cube.

### Cube Volume Formula

Cube volume formula is given as

Cube volume = a³ cubic units

### Cube Diagonal Formula

• The face diagonal formula of Cube is given as √2×Side
• The body diagonal formula of cube is given as √3×Side

## Examples Using Cube Formula

Example 1:

Determine the cube’s surface area and volume if the side length is 10 cm.

Solution:  If side a = 10 cm, then

Consequently, using the cube’s surface area and volume equations, we may write;

Surface Area = 6a² = 6×10² = 6×100, which is 600 cm².

Volume of Cube = a³ = 10³ = 1000 cm³ is the volume.

Example 2:

Find the cube’s side length. Its volume is 512 cm³.

Solution:  Given, Cube’s volume, V = 512 cm³.

We are aware that a3 cubic units is the formula for a cube’s volume.

512 thus equals a³

You can represent 512 as 8³.

8³ = a³

Consequently, a= 8

As a result, the cube’s side length is 8 cm.

### 1. What is a cube.

Cube is a three dimensional geometrical figure whose all sides are of same length

### 2. How is Cube Different from Cuboid

All of a cube’s faces are square, making it a three-dimensional version of the square. The faces of a cuboid, on the other hand, are all rectangles in three dimensions.

### 3. What is the Formula for Calculating a Cube's Surface Area?

The formula to get a cube’s surface area is 6a² square units, where “a” stands for the cube’s side length.

### 4. How do you determine a cube's volume using the Cube Formula?

The volume of a cube is calculated as a³ cubic units, where “a” is the side length, because every side of a cube is equal.