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104 LearnersLast updated on September 3, 2025
Cube of 1434
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 cubes of 1434.
Cube of 1434
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 1434 can be written as 1434³, which is the exponential form.
Or it can also be written in arithmetic form as 1434 × 1434 × 1434.
How to Calculate the Value of Cube of 1434
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.
- 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. 1434³ = 1434 × 1434 × 1434
Step 2: You get 2,947,071,304 as the answer.
Hence, the cube of 1434 is 2,947,071,304.
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 1434 into two parts, as 1400 and 34. Let a = 1400 and b = 34, so a + b = 1434.
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³.
Step 3: Calculate each term: a³ = 1400³
3a²b = 3 × 1400² × 34
3ab² = 3 × 1400 × 34²
b³ = 34³
Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³
(1400 + 34)³ = 1400³ + 3 × 1400² × 34 + 3 × 1400 × 34² + 34³ 1434³ = 2,744,000,000 + 199,920,000 + 4,838,400 + 39,304 1434³ = 2,947,071,304
Step 5: Hence, the cube of 1434 is 2,947,071,304.
Using a Calculator
To find the cube of 1434 using a calculator, input the number 1434 and use the cube function (if available) or multiply 1434 × 1434 × 1434. This operation calculates the value of 1434³, resulting in 2,947,071,304. 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 4, 3, and 4.
Step 3: If the calculator has a cube function, press it to calculate 1434³.
Step 4: If there is no cube function on the calculator, simply multiply 1434 three times manually.
Step 5: The calculator will display 2,947,071,304.
Tips and Tricks for the Cube of 1434
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 1434
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:
Mistake 1
Incorrect Multiplication
Kids might multiply the numbers only twice, e.g., 1434 × 1434 and not 1434 × 1434 × 1434. Always remember that 1434³ = 1434 × 1434 × 1434.
Mistake 2
Misunderstanding the Cube Formula
There is a possibility that kids might be confused between the formulas of square numbers and cube numbers. The square number formula is (a + b)² and the cube number formula is (a + b)³. Always review the formula for the difference between squaring and cubing.
Mistake 3
Calculator Misuse
Kids might press the wrong buttons, such as using the square (x²) function instead of the cube (x³) function or skipping steps in manual multiplication. Always double-check your inputs on the calculator, and if it lacks a cube function, perform the multiplication in steps.
Mistake 4
Misplacing Zeros
Misplacing zeros during manual multiplication leads to incorrect results like 294,707,130 instead of 2,947,071,304. For this, kids should always double-check their answers.
Mistake 5
Ignoring the Binomial Formula
Kids might attempt to split 1434 into 1400 + 34, but not apply the correct binomial expansion. In order to avoid this, carefully calculate each term step-by-step during the application of the formula.
Solved Examples on Cube of 1434
Problem 1
What is the cube and cube root of 1434?
The cube of 1434 is 2,947,071,304, and the cube root of 1434 is approximately 11.137.
Explanation
First, let’s find the cube of 1434.
We know that the cube of a number is such that x³ = y, where x is the given number, and y is the cubed value of that number.
So, we get 1434³ = 2,947,071,304.
Next, we must find the cube root of 1434.
We know that the cube root of a number ‘x’ is such that ∛x = y, where ‘x’ is the given number, and y is the cube root value of the number.
So, we get ∛1434 ≈ 11.137.
Hence, the cube of 1434 is 2,947,071,304, and the cube root of 1434 is approximately 11.137.
Problem 2
If the side length of the cube is 1434 cm, what is the volume?
The volume is 2,947,071,304 cm³.
Explanation
Use the volume formula for a cube V = Side³.
Substitute 1434 for the side length:
V = 1434³ = 2,947,071,304 cm³.
Problem 3
How much larger is 1434³ than 1400³?
1434³ – 1400³ = 203,071,304.
Explanation
First find the cube of 1434³, that is 2,947,071,304.
Next, find the cube of 1400³, which is 2,744,000,000.
Now, find the difference between them using the subtraction method.
2,947,071,304 – 2,744,000,000 = 203,071,304.
Therefore, the 1434³ is 203,071,304 larger than 1400³.
Problem 4
If a cube with a side length of 1434 cm is compared to a cube with a side length of 700 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 1434 cm is 2,947,071,304 cm³.
Explanation
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 1434 means multiplying 1434 by itself three times: 1434 × 1434 = 2,057,956, and then 2,057,956 × 1434 = 2,947,071,304.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 2,947,071,304 cm³.
Problem 5
Estimate the cube of 1433 using the cube of 1434.
The cube of 1433 is approximately 2,947,071,304.
Explanation
First, identify the cube of 1434:
The cube of 1434 is 1434³ = 2,947,071,304.
Since 1433 is only a tiny bit less than 1434, the cube of 1433 will be almost the same as the cube of 1434.
The cube of 1433 is approximately 2,947,071,304 because the difference between 1433 and 1434 is very small.
So, we can approximate the value as 2,947,071,304.
FAQs on Cube of 1434
1.What are the perfect cubes up to 1434?
2.How do you calculate 1434³?
3.What is the meaning of 1434³?
4.What is the cube root of 1434?
5.Is 1434 a perfect cube?
Important Glossaries for Cube of 1434
- 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.
- 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.
