Cube of 1052
2026-02-28 01:11 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 1052.

Cube of 1052

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 1052 can be written as 1052³, which is the exponential form. Or it can also be written in arithmetic form as, 1052 × 1052 × 1052.

How to Calculate the Value of Cube of 1052

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 you 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 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. 1052³ = 1052 × 1052 × 1052

Step 2: You get 1,164,468,608 as the answer. Hence, the cube of 1052 is 1,164,468,608.

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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 1052 into two parts, as a and b. Let a = 1050 and b = 2, so a + b = 1052

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

Step 3: Calculate each term a³ = 1050³ 3a²b = 3 × 1050² × 2 3ab² = 3 × 1050 × 2² b³ = 2³

Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (1050 + 2)³ = 1050³ + 3 × 1050² × 2 + 3 × 1050 × 4 + 8 1052³ = 1,157,625,000 + 6,615,000 + 12,600 + 8 1052³ = 1,164,468,608

Step 5: Hence, the cube of 1052 is 1,164,468,608.

Using a Calculator

To find the cube of 1052 using a calculator, input the number 1052 and use the cube function (if available) or multiply 1052 × 1052 × 1052. This operation calculates the value of 1052³, resulting in 1,164,468,608. 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, 5, and 2

Step 3: If the calculator has a cube function, press it to calculate 1052³.

Step 4: If there is no cube function on the calculator, simply multiply 1052 three times manually.

Step 5: The calculator will display 1,164,468,608.

Tips and Tricks for the Cube of 1052

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 1052

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

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Problem 1

What is the cube and cube root of 1052?

Okay, lets begin

The cube of 1052 is 1,164,468,608 and the cube root of 1052 is approximately 10.120.

Explanation

First, let’s find the cube of 1052. 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 1052³ = 1,164,468,608.

Next, we must find the cube root of 1052. We know that the cube root of a number x, such that ³√x = y, where x is the given number, and y is the cube root value of the number. So, we get ³√1052 ≈ 10.120.

Hence the cube of 1052 is 1,164,468,608 and the cube root of 1052 is approximately 10.120.

Well explained 👍

Problem 2

If the side length of a cube is 1052 cm, what is the volume?

Okay, lets begin

The volume is 1,164,468,608 cm³.

Explanation

Use the volume formula for a cube V = Side³. Substitute 1052 for the side length: V = 1052³ = 1,164,468,608 cm³.

Well explained 👍

Problem 3

How much larger is 1052³ than 1000³?

Okay, lets begin

1052³ – 1000³ = 164,468,608.

Explanation

First, find the cube of 1052, which is 1,164,468,608.

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

Now, find the difference between them using the subtraction method. 1,164,468,608 – 1,000,000,000 = 164,468,608.

Therefore, 1052³ is 164,468,608 larger than 1000³.

Well explained 👍

Problem 4

If a cube with a side length of 1052 cm is compared to a cube with a side length of 50 cm, how much larger is the volume of the larger cube?

Okay, lets begin

The volume of the cube with a side length of 1052 cm is significantly larger: 1,164,468,608 cm³ compared to 125,000 cm³.

Explanation

To find the volume of the cube with side length 1052 cm, we multiply the side length by itself three times. Cubing 1052 means multiplying 1052 by itself three times: 1052 × 1052 × 1052 = 1,164,468,608 cm³.

Compared to a cube with a side length of 50 cm (volume = 50³ = 125,000 cm³), the larger cube's volume is significantly greater.

Well explained 👍

Problem 5

Estimate the cube of 1051 using the cube of 1052.

Okay, lets begin

The cube of 1051 is approximately 1,161,493,051.

Explanation

First, identify the cube of 1052, which is 1,164,468,608.

Since 1051 is only slightly less than 1052, the cube of 1051 will be slightly less than the cube of 1052.

The cube of 1051 is approximately 1,161,493,051, as the difference between 1051 and 1052 is small.

So, we can approximate the value based on the smaller difference.

Well explained 👍

FAQs on Cube of 1052

1.What are the perfect cubes up to 1052?

The perfect cubes up to 1052 include 1, 8, 27, 64, 125, 216, 343, 512, and 729.

2.How do you calculate 1052³?

To calculate 1052³, use the multiplication method: 1052 × 1052 × 1052, which equals 1,164,468,608.

3.What is the meaning of 1052³?

1052³ means 1052 multiplied by itself three times, or 1052 × 1052 × 1052.

4.What is the cube root of 1052?

The cube root of 1052 is approximately 10.120.

5.Is 1052 a perfect cube?

No, 1052 is not a perfect cube because no integer multiplied by itself three times equals 1052.

Important Glossaries for Cube of 1052

  • 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.
  • Perfect Cube: A number that can be expressed as the cube of an integer.
  • Volume of a Cube: The amount of space enclosed within a cube, calculated as the cube of the side length.

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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.

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