Cube of 726
2026-02-28 09:48 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 726.

Cube of 726

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 726 can be written as 726³, which is the exponential form. Or it can also be written in arithmetic form as 726 × 726 × 726.

How to Calculate the Value of Cube of 726

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.

  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. 726³ = 726 × 726 × 726

Step 2: You get 382,727,976 as the answer. Hence, the cube of 726 is 382,727,976.

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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 726 into two parts. Let a = 700 and b = 26, so a + b = 726.

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

Step 3: Calculate each term a³ = 700³ 3a²b = 3 × 700² × 26 3ab² = 3 × 700 × 26² b³ = 26³

Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (700 + 26)³ = 700³ + 3 × 700² × 26 + 3 × 700 × 26² + 26³ 726³ = 343,000,000 + 38,220,000 + 1,183,200 + 17,576

Step 5: Hence, the cube of 726 is 382,727,976.

Using a Calculator

To find the cube of 726 using a calculator, input the number 726 and use the cube function (if available) or multiply 726 × 726 × 726. This operation calculates the value of 726³, resulting in 382,727,976. 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 2 and 6.

Step 3: If the calculator has a cube function, press it to calculate 726³.

Step 4: If there is no cube function on the calculator, simply multiply 726 three times manually.

Step 5: The calculator will display 382,727,976.

Tips and Tricks for the Cube of 726

  • 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 726

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 726?

Okay, lets begin

The cube of 726 is 382,727,976 and the cube root of 726 is approximately 8.946.

Explanation

First, let’s find the cube of 726.

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 726³ = 382,727,976.

Next, we must find the cube root of 726. 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 ∛726 ≈ 8.946.

Hence the cube of 726 is 382,727,976 and the cube root of 726 is approximately 8.946.

Well explained 👍

Problem 2

If the side length of the cube is 726 cm, what is the volume?

Okay, lets begin

The volume is 382,727,976 cm³.

Explanation

Use the volume formula for a cube V = Side³.

Substitute 726 for the side length: V = 726³ = 382,727,976 cm³.

Well explained 👍

Problem 3

How much larger is 726³ than 700³?

Okay, lets begin

726³ – 700³ = 39,727,976.

Explanation

First, find the cube of 726³, which is 382,727,976.

Next, find the cube of 700³, which is 343,000,000.

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

382,727,976 – 343,000,000 = 39,727,976.

Therefore, 726³ is 39,727,976 larger than 700³.

Well explained 👍

Problem 4

If a cube with a side length of 726 cm is compared to a cube with a side length of 26 cm, how much larger is the volume of the larger cube?

Okay, lets begin

The volume of the cube with a side length of 726 cm is 382,727,976 cm³ larger.

Explanation

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

Cubing 726 means multiplying 726 by itself three times: 726 × 726 = 527,076, and then 527,076 × 726 = 382,727,976

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

Therefore, the volume of the cube is 382,727,976 cm³.

Well explained 👍

Problem 5

Estimate the cube of 725.9 using the cube of 726.

Okay, lets begin

The cube of 725.9 is approximately 382,727,976.

Explanation

First, identify the cube of 726.

The cube of 726 is 726³ = 382,727,976.

Since 725.9 is only a tiny bit less than 726, the cube of 725.9 will be almost the same as the cube of 726.

The cube of 725.9 is approximately 382,727,976 because the difference between 725.9 and 726 is very small.

So, we can approximate the value as 382,727,976.

Well explained 👍

FAQs on Cube of 726

1.What are the perfect cubes up to 726?

The perfect cubes up to 726 are 1, 8, 27, 64, 125, 216, 343, and 512.

2.How do you calculate 726³?

To calculate 726³, use the multiplication method: 726 × 726 × 726, which equals 382,727,976.

3.What is the meaning of 726³?

726³ means 726 multiplied by itself three times, or 726 × 726 × 726.

4.What is the cube root of 726?

5.Is 726 a perfect cube?

No, 726 is not a perfect cube because no integer multiplied by itself three times equals 726.

Important Glossaries for Cube of 726

  • 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.
  • Volume: The amount of space occupied by a 3-dimensional object, often measured in cubic units.
  • Perfect Cube: A number that can be expressed as the cube of an integer.

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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.