Cube of 308
2026-02-28 08:23 Diff
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Last updated on August 5, 2025

When a number is multiplied by itself thrice, the resultant number is called the cube of a number. Cubing is used while comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about the cube of 308.

Cube of 308

A cube number is a value obtained by raising a number to the power of 3, or by multiplying the number by itself three times. When you cube a positive number, the result is always positive. When you cube a negative number, the result is always negative. This is because a negative number by itself three times results in a negative number.

The cube of 308 can be written as 308³, which is the exponential form. Or it can also be written in arithmetic form as, 308 × 308 × 308.

How to Calculate the Value of Cube of 308

To determine whether a number is a cube number or not, we can use three methods: the multiplication method, a factor formula (a³), or by using a calculator. These methods will help in cubing numbers faster and easier without confusion.

  1. By Multiplication Method
  2. Using a Formula
  3. Using a Calculator

By Multiplication Method

The multiplication method is a process in mathematics used to find the product of numbers by combining them through repeated multiplication. It is a fundamental operation that forms the basis for more complex mathematical concepts.

Step 1: Write down the cube of the given number. 308³ = 308 × 308 × 308

Step 2: You get 29,181,152 as the answer. Hence, the cube of 308 is 29,181,152.

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Using a Formula (a³)

The formula (a + b)³ is a binomial formula for finding the cube of a number. The formula is expanded as a³ + 3a²b + 3ab² + b³.

Step 1: Split the number 308 into two parts, as 300 and 8. Let a = 300 and b = 8, so a + b = 308

Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³

Step 3: Calculate each term

a³ = 300³

3a²b = 3 × 300² × 8

3ab² = 3 × 300 × 8²

b³ = 8³

Step 4: Add all the terms together:

(a + b)³ = a³ + 3a²b + 3ab² + b³

(300 + 8)³ = 300³ + 3 × 300² × 8 + 3 × 300 × 8² + 8³

308³ = 27,000,000 + 2,160,000 + 57,600 + 512

308³ = 29,181,152

Step 5: Hence, the cube of 308 is 29,181,152.

Using a Calculator

To find the cube of 308 using a calculator, input the number 308 and use the cube function (if available) or multiply 308 × 308 × 308. This operation calculates the value of 308³, resulting in 29,181,152. It’s a quick way to determine the cube without manual computation.

Step 1: Ensure the calculator is functioning properly.

Step 2: Press 3 followed by 0 and then 8

Step 3: If the calculator has a cube function, press it to calculate 308³.

Step 4: If there is no cube function on the calculator, simply multiply 308 three times manually.

Step 5: The calculator will display 29,181,152.

Tips and Tricks for the Cube of 308

  • The product of two or more perfect cube numbers is always a perfect cube.
  • A perfect cube can always be expressed as the product of three identical groups of equal prime factors.

Common Mistakes to Avoid When Calculating the Cube of 308

There are some typical errors that might occur during the process of cubing a number. Let us take a look at five of the major mistakes:

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Problem 1

What is the cube and cube root of 308?

Okay, lets begin

The cube of 308 is 29,181,152 and the cube root of 308 is approximately 6.679.

Explanation

First, let’s find the cube of 308. We know that the cube of a number, such that x³ = y Where x is the given number, and y is the cubed value of that number

So, we get 308³ = 29,181,152

Next, we must find the cube root of 308 We know that the cube root of a number ‘x’, such that ∛x = y Where ‘x’ is the given number, and y is the cube root value of the number

So, we get ∛308 = 6.679

Hence the cube of 308 is 29,181,152 and the cube root of 308 is approximately 6.679.

Well explained 👍

Problem 2

If the side length of the cube is 308 cm, what is the volume?

Okay, lets begin

The volume is 29,181,152 cm³.

Explanation

Use the volume formula for a cube V = Side³.

Substitute 308 for the side length: V = 308³ = 29,181,152 cm³.

Well explained 👍

Problem 3

How much larger is 308³ than 300³?

Okay, lets begin

308³ – 300³ = 2,181,152.

Explanation

First find the cube of 308³, that is 29,181,152

Next, find the cube of 300³, which is 27,000,000

Now, find the difference between them using the subtraction method.

29,181,152 – 27,000,000 = 2,181,152

Therefore, 308³ is 2,181,152 larger than 300³.

Well explained 👍

Problem 4

If a cube with a side length of 308 cm is compared to a cube with a side length of 100 cm, how much larger is the volume of the larger cube?

Okay, lets begin

The volume of the cube with a side length of 308 cm is 29,181,152 cm³.

Explanation

To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).

Cubing 308 means multiplying 308 by itself three times: 308 × 308 = 94,864, and then 94,864 × 308 = 29,181,152.

The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.

Therefore, the volume of the cube is 29,181,152 cm³.

Well explained 👍

Problem 5

Estimate the cube of 307.9 using the cube of 308.

Okay, lets begin

The cube of 307.9 is approximately 29,181,152.

Explanation

First, identify the cube of 308, The cube of 308 is 308³ = 29,181,152.

Since 307.9 is only a tiny bit less than 308, the cube of 307.9 will be almost the same as the cube of 308.

The cube of 307.9 is approximately 29,181,152 because the difference between 307.9 and 308 is very small.

So, we can approximate the value as 29,181,152.

Well explained 👍

FAQs on Cube of 308

1.What are the perfect cubes up to 308?

The perfect cubes up to 308 are 1, 8, 27, 64, 125, 216, and 343.

2.How do you calculate 308³?

To calculate 308³, use the multiplication method, 308 × 308 × 308, which equals 29,181,152.

3.What is the meaning of 308³?

308³ means 308 multiplied by itself three times, or 308 × 308 × 308.

4.What is the cube root of 308?

5.Is 308 a perfect cube?

No, 308 is not a perfect cube because no integer multiplied by itself three times equals 308.

Important Glossaries for Cube of 308

  • Binomial Formula: An algebraic expression used to expand the powers of a number, written as (a + b)ⁿ, where ‘n’ is a positive integer raised to the base. The formula is used to find the square and cube of a number.
  • Cube of a Number: Multiplying a number by itself three times is called the cube of a number.
  • Exponential Form: A way of expressing numbers using a base and an exponent (or power), where the exponent value indicates how many times the base is multiplied by itself. For example, 2³ represents 2 × 2 × 2 equals 8.
  • Perfect Cube: A number that can be expressed as the cube of an integer.
  • Volume of a Cube: The space occupied by a cube, calculated as the side length cubed (Side³).

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Jaskaran Singh Saluja

About the Author

Jaskaran Singh Saluja is a math wizard with nearly three years of experience as a math teacher. His expertise is in algebra, so he can make algebra classes interesting by turning tricky equations into simple puzzles.

Fun Fact

: He loves to play the quiz with kids through algebra to make kids love it.