Cube of 0.125
2026-02-28 17:12 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 cubes of 0.125.

Cube of 0.125

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 0.125 can be written as 0.125³, which is the exponential form.

Or it can also be written in arithmetic form as, 0.125 × 0.125 × 0.125.

How to Calculate the Value of Cube of 0.125

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

  • By Multiplication Method
     
  • Using a Formula (a3)
     
  • Using a Calculator

By Multiplication Method

The multiplication method is a process in mathematics used to find the product of two numbers or quantities 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. 0.125³ = 0.125 × 0.125 × 0.125

Step 2: You get 0.001953125 as the answer.

Hence, the cube of 0.125 is 0.001953125.

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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 0.125 into two parts, as a and b. Let a = 0.1 and b = 0.025, so a + b = 0.125

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

Step 3: Calculate each term a³ = 0.1³ 3a²b = 3 × 0.1² × 0.025 3ab² = 3 × 0.1 × 0.025² b³ = 0.025³

Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (0.1 + 0.025)³ = 0.1³ + 3 × 0.1² × 0.025 + 3 × 0.1 × 0.025² + 0.025³ 0.125³ = 0.001 + 0.000075 + 0.00001875 + 0.000015625 0.125³ = 0.001953125

Step 5: Hence, the cube of 0.125 is 0.001953125.

Using a Calculator

To find the cube of 0.125 using a calculator, input the number 0.125 and use the cube function (if available) or multiply 0.125 × 0.125 × 0.125. This operation calculates the value of 0.125³, resulting in 0.001953125. It’s a quick way to determine the cube without manual computation.

Step 1: Ensure the calculator is functioning properly.

Step 2: Press 0.125

Step 3: If the calculator has a cube function, press it to calculate 0.125³.

Step 4: If there is no cube function on the calculator, simply multiply 0.125 three times manually.

Step 5: The calculator will display 0.001953125.

Tips and Tricks for the Cube of 0.125

  • The cube of any positive number is always positive, while the cube of any negative number is always negative.
     
  • 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 0.125

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:

Problem 1

What is the cube and cube root of 0.125?

Okay, lets begin

The cube of 0.125 is 0.001953125 and the cube root of 0.125 is 0.5.

Explanation

First, let’s find the cube of 0.125.

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

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

So, we get 0.125³ = 0.001953125. Next, we must find the cube root of 0.125.

We know that the cube root of a number 'x' is such that ∛x = y, where 'x' is the given number, and y is the cube root value of the number.

So, we get ∛0.125 = 0.5.

Hence, the cube of 0.125 is 0.001953125 and the cube root of 0.125 is 0.5.

Well explained 👍

Problem 2

If the side length of a cube is 0.125 cm, what is the volume?

Okay, lets begin

The volume is 0.001953125 cm³.

Explanation

Use the volume formula for a cube V = Side³.

Substitute 0.125 for the side length: V = 0.125³ = 0.001953125 cm³.

Well explained 👍

Problem 3

How much larger is 0.125³ than 0.1³?

Okay, lets begin

0.125³ – 0.1³ = 0.000953125.

Explanation

First, find the cube of 0.125³, which is 0.001953125.

Next, find the cube of 0.1³, which is 0.001.

Now, find the difference between them using the subtraction method. 0.001953125 – 0.001 = 0.000953125.

Therefore, 0.125³ is 0.000953125 larger than 0.1³.

Well explained 👍

Problem 4

If a cube with a side length of 0.125 cm is compared to a cube with a side length of 0.05 cm, how much larger is the volume of the larger cube?

Okay, lets begin

The volume of the cube with a side length of 0.125 cm is 0.001953125 cm³.

Explanation

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

Cubing 0.125 means multiplying 0.125 by itself three times: 0.125 × 0.125 = 0.015625, and then 0.015625 × 0.125 = 0.001953125.

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

Therefore, the volume of the cube is 0.001953125 cm³.

Well explained 👍

Problem 5

Estimate the cube of 0.124 using the cube of 0.125.

Okay, lets begin

The cube of 0.124 is approximately 0.001953125.

Explanation

First, identify the cube of 0.125.

The cube of 0.125 is 0.125³ = 0.001953125.

Since 0.124 is only a tiny bit less than 0.125, the cube of 0.124 will be almost the same as the cube of 0.125.

The cube of 0.124 is approximately 0.001953125 because the difference between 0.124 and 0.125 is very small.

So, we can approximate the value as 0.001953125.

Well explained 👍

FAQs on Cube of 0.125

1.What are the perfect cubes up to 0.125?

2.How do you calculate 0.125³?

To calculate 0.125³, use the multiplication method, 0.125 × 0.125 × 0.125, which equals 0.001953125.

3.What is the meaning of 0.125³?

0.125³ means 0.125 multiplied by itself three times, or 0.125 × 0.125 × 0.125.

4.What is the cube root of 0.125?

5.Is 0.125 a perfect cube?

No, 0.125 is not a perfect cube because no integer multiplied by itself three times equals 0.125.

Important Glossaries for Cube of 0.125

  • 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.
  • Cube Root: The number that produces a given number when cubed, such as ∛8 = 2, since 2 × 2 × 2 = 8.
  • Perfect Cube: A number that can be expressed as the cube of an integer without a remainder, such as 8, which is 2³.

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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.