Cube of 1125
2026-02-28 08:38 Diff
https://brightchamps.com/en-us/math/algebra/cube-of-1125

192 Learners

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 1125.

Cube of 1125

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 1125 can be written as 1125³, which is the exponential form. Or it can also be written in arithmetic form as, 1125 × 1125 × 1125.

How to Calculate the Value of Cube of 1125

In order to check whether a number is a cube number or not, we can use the following three methods: multiplication method, factor formula (a³), or by using a calculator. These three methods will help learners cube the 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 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. 1125³ = 1125 × 1125 × 1125

Step 2: Calculate the product to get the answer. The cube of 1125 is 1,425,781,250.

Explore Our Programs

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 1125 into two parts. Let a = 1100 and b = 25, so a + b = 1125

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

Step 3: Calculate each term a³= 1100³ 3a²b = 3 × 1100² × 25 3ab² = 3 × 1100 × 25² b³ = 25³

Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (1100 + 25)³ = 1100³ + 3 × 1100² × 25 + 3 × 1100 × 25² + 25³ 1125³ = 1,331,000,000 + 90,750,000 + 2,062,500 + 15,625

Step 5: Hence, the cube of 1125 is 1,425,781,250.

Using a Calculator

To find the cube of 1125 using a calculator, input the number 1125 and use the cube function (if available) or multiply 1125 × 1125 × 1125. This operation calculates the value of 1125³, resulting in 1,425,781,250. 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 125

Step 3: If the calculator has a cube function, press it to calculate 1125³.

Step 4: If there is no cube function on the calculator, simply multiply 1125 three times manually.

Step 5: The calculator will display 1,425,781,250.

Tips and Tricks for the Cube of 1125

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 1125

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

Download Worksheets

Problem 1

What is the cube and cube root of 1125?

Okay, lets begin

The cube of 1125 is 1,425,781,250 and the cube root of 1125 is approximately 10.485.

Explanation

First, let’s find the cube of 1125. We know that the cube of a number is obtained by multiplying the number by itself three times. So, we get 1125³ = 1,425,781,250

Next, we find the cube root of 1125. 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. So, we get √1125 ≈ 10.485

Hence, the cube of 1125 is 1,425,781,250 and the cube root of 1125 is approximately 10.485.

Well explained 👍

Problem 2

If the side length of a cube is 1125 cm, what is the volume?

Okay, lets begin

The volume is 1,425,781,250 cm³.

Explanation

Use the volume formula for a cube V = Side³. Substitute 1125 for the side length: V = 1125³ = 1,425,781,250 cm³.

Well explained 👍

Problem 3

How much larger is 1125³ than 1000³?

Okay, lets begin

1125³ – 1000³ = 425,781,250.

Explanation

First, find the cube of 1125, which is 1,425,781,250. Next, find the cube of 1000, which is 1,000,000,000.

Now, find the difference between them using the subtraction method. 1,425,781,250 – 1,000,000,000 = 425,781,250

Therefore, 1125³ is 425,781,250 larger than 1000³.

Well explained 👍

Problem 4

If a cube with a side length of 1125 cm is compared to a cube with a side length of 225 cm, how much larger is the volume of the larger cube?

Okay, lets begin

The volume of the cube with a side length of 1125 cm is 1,425,781,250 cm³.

Explanation

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

Cubing 1125 means multiplying 1125 by itself three times: 1125 × 1125 = 1,265,625, and then 1,265,625 × 1125 = 1,425,781,250. The unit of volume is cubic centimeters (cm³) because we are calculating the space inside the cube.

Therefore, the volume of the cube is 1,425,781,250 cm³.

Well explained 👍

Problem 5

Estimate the cube of 1124 using the cube of 1125.

Okay, lets begin

The cube of 1124 is approximately 1,423,621,824.

Explanation

First, identify the cube of 1125, The cube of 1125 is 1125³ = 1,425,781,250. Since 1124 is only a tiny bit less than 1125, the cube of 1124 will be almost the same as the cube of 1125.

Use the approximation to find the cube of 1124 as 1,423,621,824 using similar calculations. Therefore, the cube of 1124 is approximately 1,423,621,824.

Well explained 👍

FAQs on Cube of 1125

1.How do you calculate 1125³?

To calculate 1125³, use the multiplication method: 1125 × 1125 × 1125, which equals 1,425,781,250.

2.What is the cube root of 1125?

The cube root of 1125 is approximately 10.485.

3.Is 1125 a perfect cube?

No, 1125 is not a perfect cube because no integer multiplied by itself three times equals 1125.

4.What are the perfect cubes up to 1125?

The perfect cubes up to 1125 are 1, 8, 27, 64, 125, 216, 343, 512, and 729.

5.What is the meaning of 1125³?

1125³ means multiplying 1125 by itself three times, or 1125 × 1125 × 1125.

Important Glossaries for Cube of 1125

  • Binomial Formula: An algebraic expression used to expand the powers of a number, written as (a + b)ⁿ, where 'n' is a positive integer. 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 product of three identical factors, such as 27, which is 3 × 3 × 3.
  • Cube Root: A number that when multiplied by itself three times gives the original number. It is the inverse operation of finding a cube.

What Is Algebra? 🧮 | Simple Explanation with 🎯 Cool Examples for Kids | ✨BrightCHAMPS Math

▶

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.