Cube of 752
2026-02-28 13:46 Diff
https://brightchamps.com/en-us/math/algebra/cube-of-752

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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 while comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about cubes of 752.

Cube of 752

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 752 can be written as 752³, which is the exponential form. Or it can also be written in arithmetic form as, 752 × 752 × 752.

How to Calculate the Value of Cube of 752

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

  1. By Multiplication Method
  2. Using a Formula
  3. 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. 752³ = 752 × 752 × 752

Step 2: You get 425,084,928 as the answer. Hence, the cube of 752 is 425,084,928.

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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 752 into two parts. Let a = 700 and b = 52, so a + b = 752

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

Step 3: Calculate each term

a³= 700³

3a²b = 3 × 700² × 52

3ab² = 3 × 700 × 52²

b³ = 52³

Step 4: Add all the terms together:

(a + b)³ = a³ + 3a²b + 3ab² + b³

(700 + 52)³ = 700³ + 3 × 700² × 52 + 3 × 700 × 52² + 52³

752³ = 343,000,000 + 76,440,000 + 5,712,000 + 140,608

752³ = 425,084,928

Step 5: Hence, the cube of 752 is 425,084,928.

Using a Calculator

To find the cube of 752 using a calculator, input the number 752 and use the cube function (if available) or multiply 752 × 752 × 752. This operation calculates the value of 752³, resulting in 425,084,928. It’s a quick way to determine the cube without manual computation.

Step 1: Ensure the calculator is functioning properly.

Step 2: Press 7 followed by 5 and 2

Step 3: If the calculator has a cube function, press it to calculate 752³.

Step 4: If there is no cube function on the calculator, simply multiply 752 three times manually.

Step 5: The calculator will display 425,084,928.

Tips and Tricks for the Cube of 752

  • 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 752

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 752?

Okay, lets begin

The cube of 752 is 425,084,928 and the cube root of 752 is approximately 9.056.

Explanation

First, let’s find the cube of 752.

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 752³ = 425,084,928

Next, we must find the cube root of 752 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 ∛752 ≈ 9.056

Hence the cube of 752 is 425,084,928 and the cube root of 752 is approximately 9.056.

Well explained 👍

Problem 2

If the side length of the cube is 752 cm, what is the volume?

Okay, lets begin

The volume is 425,084,928 cm³.

Explanation

Use the volume formula for a cube V= Side³.

Substitute 752 for the side length: V = 752³ = 425,084,928 cm³.

Well explained 👍

Problem 3

How much larger is 752³ than 650³?

Okay, lets begin

752³ – 650³ = 203,684,928.

Explanation

First find the cube of 752, that is 425,084,928

Next, find the cube of 650, which is 221,400,000

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

425,084,928 – 221,400,000 = 203,684,928

Therefore, 752³ is 203,684,928 larger than 650³.

Well explained 👍

Problem 4

If a cube with a side length of 752 cm is compared to a cube with a side length of 300 cm, how much larger is the volume of the larger cube?

Okay, lets begin

The volume of the cube with a side length of 752 cm is 425,084,928 cm³

Explanation

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

Cubing 752 means multiplying 752 by itself three times: 752 × 752 = 565,504, and then 565,504 × 752 = 425,084,928.

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

Therefore, the volume of the cube is 425,084,928 cm³.

Well explained 👍

Problem 5

Estimate the cube of 751.5 using the cube of 752.

Okay, lets begin

The cube of 751.5 is approximately 425,084,928.

Explanation

First, identify the cube of 752, The cube of 752 is 752³ = 425,084,928.

Since 751.5 is only a tiny bit less than 752, the cube of 751.5 will be almost the same as the cube of 752.

The cube of 751.5 is approximately 425,084,928 because the difference between 751.5 and 752 is very small.

So, we can approximate the value as 425,084,928.

Well explained 👍

FAQs on Cube of 752

1.What are the perfect cubes up to 752?

The perfect cubes up to 752 include numbers like 1, 8, 27, 64, 125, 216, 343, and 512.

2.How do you calculate 752³?

To calculate 752³, use the multiplication method, 752 × 752 × 752, which equals 425,084,928.

3.What is the meaning of 752³?

752³ means 752 multiplied by itself three times, or 752 × 752 × 752.

4.What is the cube root of 752?

5.Is 752 a perfect cube?

No, 752 is not a perfect cube because no integer multiplied by itself three times equals 752.

Important Glossaries for Cube of 752

  • 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, 3³ represents 3 × 3 × 3 equals 27.
  • Perfect Cube: A number that can be expressed as the product of three equal integers.
  • Volume of a Cube: The amount of space occupied by a cube, calculated as the side length cubed (side³).

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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.