Cube of 1064
2026-02-21 20:25 Diff
https://brightchamps.com/en-us/math/algebra/cube-of-1064

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Last updated on October 23, 2025

When a number is multiplied by itself thrice, the resultant number is called the cube of a number. Cubing is used while comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about the cube of 1064.

Cube of 1064

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 1064 can be written as 1064³, which is the exponential form.

Or it can also be written in arithmetic form as, 1064 × 1064 × 1064.

How to Calculate the Value of Cube of 1064

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 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. 1064³ = 1064 × 1064 × 1064 Step 2:

You get 1,203,464,384 as the answer.

Hence, the cube of 1064 is 1,203,464,384.

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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 1064 into two parts, as and. Let a = 1000 and b = 64, so a + b = 1064

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

Step 3: Calculate each term a³ = 1000³ 3a²b = 3 × 1000² × 64 3ab² = 3 × 1000 × 64² b³ = 64³

Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (1000 + 64)³ = 1000³ + 3 × 1000² × 64 + 3 × 1000 × 64² + 64³ 1064³ = 1,000,000,000 + 192,000,000 + 12,288,000 + 262,144 1064³ = 1,203,464,384

Step 5: Hence, the cube of 1064 is 1,203,464,384.

Using a Calculator

To find the cube of 1064 using a calculator, input the number 1064 and use the cube function (if available) or multiply 1064 × 1064 × 1064.

This operation calculates the value of 1064³, resulting in 1,203,464,384.

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 0, 6, 4

Step 3: If the calculator has a cube function, press it to calculate 1064³.

Step 4: If there is no cube function on the calculator, simply multiply 1064 three times manually.

Step 5: The calculator will display 1,203,464,384.

Tips and Tricks for the Cube of 1064

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 1064

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 1064?

Okay, lets begin

The cube of 1064 is 1,203,464,384 and the cube root of 1064 is approximately 10.129.

Explanation

First, let’s find the cube of 1064. We know that 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 1064³ = 1,203,464,384

Next, we must find the cube root of 1064

We know that the cube root of a number ‘x’, such that √³x = y

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

So, we get √³1064 ≈ 10.129

Hence the cube of 1064 is 1,203,464,384 and the cube root of 1064 is approximately 10.129.

Well explained 👍

Problem 2

If the side length of a cube is 1064 cm, what is the volume?

Okay, lets begin

The volume is 1,203,464,384 cm³.

Explanation

Use the volume formula for a cube V = Side³.

Substitute 1064 for the side length: V = 1064³ = 1,203,464,384 cm³.

Well explained 👍

Problem 3

How much larger is 1064³ than 1000³?

Okay, lets begin

1064³ – 1000³ = 203,464,384.

Explanation

First find the cube of 1064, which is 1,203,464,384

Next, find the cube of 1000, which is 1,000,000,000

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

1,203,464,384 – 1,000,000,000 = 203,464,384

Therefore, 1064³ is 203,464,384 larger than 1000³.

Well explained 👍

Problem 4

If a cube with a side length of 1064 cm is compared to a cube with a side length of 500 cm, how much larger is the volume of the larger cube?

Okay, lets begin

The volume of the cube with a side length of 1064 cm is 1,203,464,384 cm³.

Explanation

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

Cubing 1064 means multiplying 1064 by itself three times: 1064 × 1064 = 1,132,096 and then 1,132,096 × 1064 = 1,203,464,384.

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

Therefore, the volume of the cube is 1,203,464,384 cm³.

Well explained 👍

Problem 5

Estimate the cube of 1063 using the cube of 1064.

Okay, lets begin

The cube of 1063 is approximately 1,203,464,384.

Explanation

First, identify the cube of 1064, The cube of 1064 is 1064³ = 1,203,464,384.

Since 1063 is only a tiny bit less than 1064, the cube of 1063 will be almost the same as the cube of 1064.

The cube of 1063 is approximately 1,203,464,384 because the difference between 1063 and 1064 is very small.

So, we can approximate the value as 1,203,464,384.

Well explained 👍

FAQs on Cube of 1064

1.What are the perfect cubes up to 1064?

The perfect cubes up to 1064 are 1, 8, 27, 64, 125, 216, 343, 512, and 729.

2.How do you calculate 1064³?

To calculate 1064³, use the multiplication method, 1064 × 1064 × 1064, which equals 1,203,464,384.

3.What is the meaning of 1064³?

1064³ means 1064 multiply by itself three times, or 1064 × 1064 × 1064.

4.What is the cube root of 1064?

The cube root of 1064 is approximately 10.129.

5.Is 1064 a perfect cube?

No, 1064 is not a perfect cube because no integer multiplied by itself three times equals 1064.

Important Glossaries for Cube of 1064

  • 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 to 8.

  • Volume of a Cube: The space occupied by a cube, calculated by cubing the side length of the cube, given as side³.
  • Cube Root: The cube root of a number is a value that, when multiplied by itself three times, gives the original number.

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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.