Cube of 901
2026-02-21 20:26 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 901.

Cube of 901

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 901 can be written as 901³, which is the exponential form. Or it can also be written in arithmetic form as 901 × 901 × 901.

How to Calculate the Value of Cube of 901

In order 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 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
     
  • 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. 901³ = 901 × 901 × 901

Step 2: You get 732,050,801 as the answer.

Hence, the cube of 901 is 732,050,801.

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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 901 into two parts, as 900 and 1.

Let a = 900 and b = 1, so a + b = 901

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

Step 3: Calculate each term

a³ = 900³

3a²b = 3 × 900² × 1

3ab² = 3 × 900 × 1²

b³ = 1³

Step 4: Add all the terms together:

(a + b)³ = a³ + 3a²b + 3ab² + b³

(900 + 1)³ = 900³ + 3 × 900² × 1 + 3 × 900 × 1² + 1³

901³ = 729,000,000 + 2,430,000 + 2,700 + 1

901³ = 732,050,701

Step 5: Hence, the cube of 901 is 732,050,701.

Using a Calculator

To find the cube of 901 using a calculator, input the number 901 and use the cube function (if available) or multiply 901 × 901 × 901. This operation calculates the value of 901³, resulting in 732,050,701. It’s a quick way to determine the cube without manual computation.

Step 1: Ensure the calculator is functioning properly.

Step 2: Press 9, then 0, then 1.

Step 3: If the calculator has a cube function, press it to calculate 901³.

Step 4: If there is no cube function on the calculator, simply multiply 901 three times manually.

Step 5: The calculator will display 732,050,701.

Tips and Tricks for the Cube of 901

  • 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 901

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 901?

Okay, lets begin

The cube of 901 is 732,050,701 and the cube root of 901 is approximately 9.654.

Explanation

First, let’s find the cube of 901.

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 901³ = 732,050,701

Next, we must find the cube root of 901

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 ∛901 ≈ 9.654

Hence, the cube of 901 is 732,050,701 and the cube root of 901 is approximately 9.654.

Well explained 👍

Problem 2

If the side length of a cube is 901 cm, what is the volume?

Okay, lets begin

The volume is 732,050,701 cm³.

Explanation

Use the volume formula for a cube V = Side³.

Substitute 901 for the side length: V = 901³ = 732,050,701 cm³.

Well explained 👍

Problem 3

How much larger is 901³ than 900³?

Okay, lets begin

901³ – 900³ = 2,702,701.

Explanation

First find the cube of 901³, which is 732,050,701

Next, find the cube of 900³, which is 729,000,000

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

732,050,701 – 729,000,000 = 2,702,701

Therefore, 901³ is 2,702,701 larger than 900³.

Well explained 👍

Problem 4

If a cube with a side length of 901 cm is compared to a cube with a side length of 1 cm, how much larger is the volume of the larger cube?

Okay, lets begin

The volume of the cube with a side length of 901 cm is 732,050,701 cm³.

Explanation

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

Cubing 901 means multiplying 901 by itself three times: 901 × 901 = 811,801, and then 811,801 × 901 = 732,050,701.

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

Therefore, the volume of the cube is 732,050,701 cm³.

Well explained 👍

Problem 5

Estimate the cube of 900.9 using the cube of 901.

Okay, lets begin

The cube of 900.9 is approximately 732,050,701.

Explanation

First, identify the cube of 901, The cube of 901 is 901³ = 732,050,701.

Since 900.9 is only a tiny bit less than 901, the cube of 900.9 will be almost the same as the cube of 901.

The cube of 900.9 is approximately 732,050,701 because the difference between 900.9 and 901 is very small.

So, we can approximate the value as 732,050,701.

Well explained 👍

FAQs on Cube of 901

1.What are the perfect cubes up to 901?

The perfect cubes up to 901 are 1, 8, 27, 64, 125, 216, 343, 512, 729.

2.How do you calculate 901³?

To calculate 901³, use the multiplication method, 901 × 901 × 901, which equals 732,050,701.

3.What is the meaning of 901³?

901³ means 901 multiplied by itself three times, or 901 × 901 × 901.

4.What is the cube root of 901?

5.Is 901 a perfect cube?

No, 901 is not a perfect cube because no integer multiplied by itself three times equals 901.

Important Glossaries for Cube of 901

  • Binomial Formula: It is 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: It is 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. For example, 8 is a perfect cube because it is 2³.
  • Cube Root: The cube root of a number is a value that, when multiplied by itself three times, gives the original number. For instance, the cube root of 27 is 3.

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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.