Cube of 188
2026-02-28 14:04 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 when comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about the cube of 188.

Cube of 188

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 multiplied by itself three times results in a negative number. The cube of 188 can be written as 188³, which is the exponential form. Or it can also be written in arithmetic form as 188 × 188 × 188.

How to Calculate the Value of Cube of 188

To check whether a number is a cube number or not, we can use the following three methods: multiplication method, a factor formula (a³), or by using a calculator. These methods help to cube numbers faster and easier without feeling confused or stuck while evaluating the answers.

  • By Multiplication Method
  • Using a Formula
  • 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 addition. It is a fundamental operation that forms the basis for more complex mathematical concepts.

Step 1: Write down the cube of the given number. 188³ = 188 × 188 × 188

Step 2: Calculate the product. You get 6,648,832 as the answer.

Hence, the cube of 188 is 6,648,832.

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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 188 into two parts. Let a = 180 and b = 8, so a + b = 188

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

Step 3: Calculate each term a³ = 180³ 3a²b = 3 × 180² × 8 3ab² = 3 × 180 × 8² b³ = 8³

Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (180 + 8)³ = 180³ + 3 × 180² × 8 + 3 × 180 × 8² + 8³ 188³ = 5,832,000 + 777,600 + 34,560 + 512 188³ = 6,648,672

Step 5: Hence, the cube of 188 is 6,648,672.

Using a Calculator

To find the cube of 188 using a calculator, input the number 188 and use the cube function (if available) or multiply 188 × 188 × 188. This operation calculates the value of 188³, resulting in 6,648,672. It’s a quick way to determine the cube without manual computation.

Step 1: Ensure the calculator is functioning properly.

Step 2: Press 1 followed by 8 and 8

Step 3: If the calculator has a cube function, press it to calculate 188³.

Step 4: If there is no cube function on the calculator, simply multiply 188 three times manually.

Step 5: The calculator will display 6,648,672.

Tips and Tricks for the Cube of 188

  • The cube of any even number is always even, while the cube of any odd number is always odd.
     
  • 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 188

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

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Problem 1

What is the cube and cube root of 188?

Okay, lets begin

The cube of 188 is 6,648,672 and the cube root of 188 is approximately 5.78.

Explanation

First, let’s find the cube of 188.

We know that the cube of a number is given by x³ = y,

where x is the given number, and y is the cubed value of that number.

So, we get 188³ = 6,648,672.

Next, we must find the cube root of 188.

We know that the cube root of a number ‘x’ is given by ∛x = y,

where ‘x’ is the given number, and y is the cube root value of the number.

So, we get ∛188 ≈ 5.78

Hence, the cube of 188 is 6,648,672 and the cube root of 188 is approximately 5.78.

Well explained 👍

Problem 2

If the side length of the cube is 188 cm, what is the volume?

Okay, lets begin

The volume is 6,648,672 cm³.

Explanation

Use the volume formula for a cube V = Side³. Substitute 188 for the side length: V = 188³ = 6,648,672 cm³.

Well explained 👍

Problem 3

How much larger is 188³ than 180³?

Okay, lets begin

188³ – 180³ = 816,672.

Explanation

First, find the cube of 188³, which is 6,648,672.

Next, find the cube of 180³, which is 5,832,000.

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

6,648,672 – 5,832,000 = 816,672

Therefore, 188³ is 816,672 larger than 180³.

Well explained 👍

Problem 4

If a cube with a side length of 188 cm is compared to a cube with a side length of 8 cm, how much larger is the volume of the larger cube?

Okay, lets begin

The volume of the cube with a side length of 188 cm is 6,648,672 cm³.

Explanation

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

Cubing 188 means multiplying 188 by itself three times: 188 × 188 = 35,344, and then 35,344 × 188 = 6,648,672.

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

Therefore, the volume of the cube is 6,648,672 cm³.

Well explained 👍

Problem 5

Estimate the cube of 187.9 using the cube of 188.

Okay, lets begin

The cube of 187.9 is approximately 6,648,672.

Explanation

First, identify the cube of 188, The cube of 188 is 188³ = 6,648,672.

Since 187.9 is only a tiny bit less than 188, the cube of 187.9 will be almost the same as the cube of 188.

The cube of 187.9 is approximately 6,648,672 because the difference between 187.9 and 188 is very small.

So, we can approximate the value as 6,648,672.

Well explained 👍

FAQs on Cube of 188

1.What are the perfect cubes up to 188?

The perfect cubes up to 188 are 1, 8, 27, 64, and 125.

2.How do you calculate 188³?

To calculate 188³, use the multiplication method, 188 × 188 × 188, which equals 6,648,672.

3.What is the meaning of 188³?

188³ means 188 multiplied by itself three times, or 188 × 188 × 188.

4.What is the cube root of 188?

5.Is 188 a perfect cube?

No, 188 is not a perfect cube because no integer multiplied by itself three times equals 188.

Important Glossaries for Cube of 188

  • 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, which equals 8.
  • Cube Root: The value that, when multiplied by itself three times, gives the original number. Represented as ∛x.
  • Volume Formula for a Cube: The formula used to calculate the volume of a cube, given by V = Side³, where 'Side' is the length of a side of the cube.

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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.