Cube of 426
2026-02-21 20:31 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 426.

Cube of 426

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 426 can be written as 426^3, which is the exponential form.

Or it can also be written in arithmetic form as, 426 × 426 × 426.

How to Calculate the Value of Cube of 426

In order to check whether a number is a cube number or not, we can use the following three methods, such as 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. 426^3 = 426 × 426 × 426

Step 2: You get 77,283,576 as the answer. Hence, the cube of 426 is 77,283,576.

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Using a Formula (a^3)

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 426 into two parts. Let a = 400 and b = 26, so a + b = 426

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

Step 3: Calculate each term a3 = 4003 3a2b = 3 × 4002 × 26 3ab2 = 3 × 400 × 262 b3 = 263

Step 4: Add all the terms together: (a + b)3 = a3 + 3a2b + 3ab2 + b3 (400 + 26)3 = 4003 + 3 × 4002 × 26 + 3 × 400 × 262 + 263 4263 = 64,000,000 + 12,480,000 + 8,112,000 + 17,576 426^3 = 77,283,576

Step 5: Hence, the cube of 426 is 77,283,576.

Using a Calculator

To find the cube of 426 using a calculator, input the number 426 and use the cube function (if available) or multiply 426 × 426 × 426. This operation calculates the value of 4263, resulting in 77,283,576. It’s a quick way to determine the cube without manual computation.

Step 1: Ensure the calculator is functioning properly.

Step 2: Press 4 followed by 2 and 6

Step 3: If the calculator has a cube function, press it to calculate 4263.

Step 4: If there is no cube function on the calculator, simply multiply 426 three times manually.

Step 5: The calculator will display 77,283,576.

Tips and Tricks for the Cube of 426

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 426

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 426?

Okay, lets begin

The cube of 426 is 77,283,576 and the cube root of 426 is approximately 7.503.

Explanation

First, let’s find the cube of 426.

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 426^3 = 77,283,576

Next, we must find the cube root of 426.

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 ∛426 ≈ 7.503

Well explained 👍

Problem 2

If the side length of the cube is 426 cm, what is the volume?

Okay, lets begin

The volume is 77,283,576 cm3.

Explanation

Use the volume formula for a cube V = Side3.

Substitute 426 for the side length: V = 4263 = 77,283,576 cm3.

Well explained 👍

Problem 3

How much larger is 426^3 than 400^3?

Okay, lets begin

4263 – 4003 = 13,283,576.

Explanation

First, find the cube of 426, which is 77,283,576.

Next, find the cube of 400, which is 64,000,000.

Now, find the difference between them using the subtraction method. 77,283,576 – 64,000,000 = 13,283,576

Therefore, 4263 is 13,283,576 larger than 4003.

Well explained 👍

Problem 4

If a cube with a side length of 426 cm is compared to a cube with a side length of 20 cm, how much larger is the volume of the larger cube?

Okay, lets begin

The volume of the cube with a side length of 426 cm is 77,283,576 cm3.

Explanation

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

Cubing 426 means multiplying 426 by itself three times: 426 × 426 = 181,476, and then 181,476 × 426 = 77,283,576.

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

Therefore, the volume of the cube is 77,283,576 cm3.

Well explained 👍

Problem 5

Estimate the cube of 425.5 using the cube of 426.

Okay, lets begin

The cube of 425.5 is approximately 77,283,576.

Explanation

First, identify the cube of 426.

The cube of 426 is 4263 = 77,283,576.

Since 425.5 is only slightly less than 426, the cube of 425.5 will be almost the same as the cube of 426.

The cube of 425.5 is approximately 77,283,576 because the difference between 425.5 and 426 is very small.

So, we can approximate the value as 77,283,576.

Well explained 👍

FAQs on Cube of 426

1.What are the perfect cubes up to 426?

The perfect cubes up to 426 are 1, 8, 27, 64, 125, 216, and 343.

2.How do you calculate 426^3?

To calculate 4263, use the multiplication method, 426 × 426 × 426, which equals 77,283,576.

3.What is the meaning of 426^3?

4263 means 426 multiplied by itself three times, or 426 × 426 × 426.

4.What is the cube root of 426?

5.Is 426 a perfect cube?

No, 426 is not a perfect cube because no integer multiplied by itself three times equals 426.

Important Glossaries for Cube of 426

  • 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 perfect cube is a number that can be expressed as the cube of an integer.
  • Volume: The amount of space occupied by a 3-dimensional object, often measured in cubic units, like cubic centimeters (cm3).

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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.