Cube of 438
2026-02-28 10:10 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 while comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about cubes of 438.

Cube of 438

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 438 can be written as 4383, which is the exponential form. Or it can also be written in arithmetic form as, 438 × 438 × 438.

How to Calculate the Value of Cube of 438

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 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.

4383 = 438 × 438 × 438

Step 2: You get 83,980,872 as the answer.

Hence, the cube of 438 is 83,980,872.

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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 + 3a2

b + 3ab2 + b3.

Step 1: Split the number 438 into two parts.

Let a = 400 and b = 38, so a + b = 438

Step 2: Now, apply the formula

(a + b)3 = a3 + 3a2

b + 3ab2 + b3

Step 3: Calculate each term:

a3 = 4003 3a2

b = 3 × 4002 × 38

3ab2 = 3 × 400 × 382

b3 = 383

Step 4: Add all the terms together:

(a + b)3 = a3 + 3a2

b + 3ab2 + b3

(400 + 38)3 = 4003 + 3 × 4002 × 38 + 3 × 400 × 382 + 383

4383 = 64,000,000 + 18,240,000 + 2,167,200 + 54,872

4383 = 83,980,872

Step 5: Hence, the cube of 438 is 83,980,872.

Using a Calculator

To find the cube of 438 using a calculator, input the number 438 and use the cube function (if available) or multiply 438 × 438 × 438. This operation calculates the value of 4383, resulting in 83,980,872. It’s a quick way to determine the cube without manual computation.

Step 1: Ensure the calculator is functioning properly.

Step 2: Enter 438

Step 3: If the calculator has a cube function, press it to calculate 4383.

Step 4: If there is no cube function on the calculator, simply multiply 438 three times manually.

Step 5: The calculator will display 83,980,872.

Tips and Tricks for the Cube of 438

  • 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 438

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 438?

Okay, lets begin

The cube of 438 is 83,980,872 and the cube root of 438 is approximately 7.57.

Explanation

First, let’s find the cube of 438.

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 4383 = 83,980,872

Next, we must find the cube root of 438

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√438 ≈ 7.57

Hence, the cube of 438 is 83,980,872 and the cube root of 438 is approximately 7.57.

Well explained 👍

Problem 2

If the side length of the cube is 438 cm, what is the volume?

Okay, lets begin

The volume is 83,980,872 cm3.

Explanation

Use the volume formula for a cube V = Side3.

Substitute 438 for the side length: V = 4383 = 83,980,872 cm3.

Well explained 👍

Problem 3

How much larger is 438^3 than 400^3?

Okay, lets begin

4383 – 4003 = 19,980,872.

Explanation

First, find the cube of 438, which is 83,980,872

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

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

83,980,872 – 64,000,000 = 19,980,872

Therefore, 4383 is 19,980,872 larger than 4003.

Well explained 👍

Problem 4

If a cube with a side length of 438 cm is compared to a cube with a side length of 38 cm, how much larger is the volume of the larger cube?

Okay, lets begin

The volume of the cube with a side length of 438 cm is 83,980,872 cm3.

Explanation

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

Cubing 438 means multiplying 438 by itself three times: 438 × 438 = 191,844, and then 191,844 × 438 = 83,980,872.

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

Therefore, the volume of the cube is 83,980,872 cm3.

Well explained 👍

Problem 5

Estimate the cube of 437.9 using the cube of 438.

Okay, lets begin

The cube of 437.9 is approximately 83,980,872.

Explanation

First, identify the cube of 438,

The cube of 438 is 4383 = 83,980,872.

Since 437.9 is only a tiny bit less than 438, the cube of 437.9 will be almost the same as the cube of 438.

The cube of 437.9 is approximately 83,980,872 because the difference between 437.9 and 438 is very small.

So, we can approximate the value as 83,980,872.

Well explained 👍

FAQs on Cube of 438

1.What are the perfect cubes up to 438?

The perfect cubes up to 438 are 1, 8, 27, 64, 125, 216, and 343.

2.How do you calculate 438^3?

To calculate 4383, use the multiplication method, 438 × 438 × 438, which equals 83,980,872.

3.What is the meaning of 438^3?

4383 means 438 multiplied by itself three times, or 438 × 438 × 438.

4.What is the cube root of 438?

5.Is 438 a perfect cube?

No, 438 is not a perfect cube because no integer multiplied by itself three times equals 438.

Important Glossaries for Cube of 438

  • Binomial Formula: An algebraic expression used to expand the powers of a number, written as (a + b)n, where ‘n’ is a positive integer. 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.
  • Cube Root: A number 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.