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105 LearnersLast updated on September 3, 2025
Cube of 1435
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 1435.
Cube of 1435
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 1435 can be written as 1435³, which is the exponential form.
Or it can also be written in arithmetic form as 1435 × 1435 × 1435.
How to Calculate the Value of Cube of 1435
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 calculate the cube of 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 multiplication. It is a fundamental operation that forms the basis for more complex mathematical concepts.
Step 1: Write down the cube of the given number. 1435³ = 1435 × 1435 × 1435
Step 2: You get 2,955,001,375 as the answer.
Hence, the cube of 1435 is 2,955,001,375.
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 1435 into two parts. Let a = 1400 and b = 35, so a + b = 1435
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 1400³
3a²b = 3 × 1400² × 35
3ab² = 3 × 1400 × 35²
b³ = 35³
Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³
(1400 + 35)³ = 1400³ + 3 × 1400² × 35 + 3 × 1400 × 35² + 35³ 1435³ = 2,744,000,000 + 205,800,000 + 2,058,750 + 42,875 1435³ = 2,955,001,375
Step 5: Hence, the cube of 1435 is 2,955,001,375.
Using a Calculator
To find the cube of 1435 using a calculator, input the number 1435 and use the cube function (if available) or multiply 1435 × 1435 × 1435. This operation calculates the value of 1435³, resulting in 2,955,001,375. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Input 1435
Step 3: If the calculator has a cube function, press it to calculate 1435³.
Step 4: If there is no cube function on the calculator, simply multiply 1435 three times manually.
Step 5: The calculator will display 2,955,001,375.
Tips and Tricks for the Cube of 1435
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 1435
There are some typical errors that individuals might make during the process of cubing a number. Let us take a look at five of the major mistakes that might occur:
Mistake 1
Incorrect Multiplication
Individuals might multiply the numbers only twice, i.e., 1435 × 1435 instead of 1435 × 1435 × 1435. Always remember that 1435³ = 1435 × 1435 × 1435.
Mistake 2
Misunderstanding the Cube Formula
There is a possibility of confusion between the formulas for 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 to understand the difference between squaring and cubing.
Mistake 3
Calculator Misuse
One 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. For instance, getting 295,001,375 instead of 2,955,001,375. Always double-check your answers.
Mistake 5
Ignoring the Binomial Formula
One might attempt to split 1435 into 1400 + 35, but not apply the correct binomial expansion. To avoid this, carefully calculate each term step-by-step during the application of the formula.
Solved Examples on Cube of 1435
Problem 1
What is the cube and cube root of 1435?
The cube of 1435 is 2,955,001,375 and the cube root of 1435 is approximately 11.138.
Explanation
First, let’s find the cube of 1435.
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 1435³ = 2,955,001,375. Next, we must find the cube root of 1435.
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 √1435 ≈ 11.138.
Hence, the cube of 1435 is 2,955,001,375 and the cube root of 1435 is approximately 11.138.
Problem 2
If the side length of the cube is 1435 cm, what is the volume?
The volume is 2,955,001,375 cm³.
Explanation
Use the volume formula for a cube V = Side³.
Substitute 1435 for the side length:
V = 1435³ = 2,955,001,375 cm³.
Problem 3
How much larger is 1435³ than 1400³?
1435³ – 1400³ = 211,001,375.
Explanation
First, find the cube of 1435³, which is 2,955,001,375.
Next, find the cube of 1400³, which is 2,744,000,000.
Now, find the difference between them using the subtraction method. 2,955,001,375 – 2,744,000,000 = 211,001,375.
Therefore, 1435³ is 211,001,375 larger than 1400³.
Problem 4
If a cube with a side length of 1435 cm is compared to a cube with a side length of 35 cm, how much larger is the volume of the larger cube?
The volume difference is 2,955,001,375 cm³.
Explanation
To find its volume, multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 1435 means multiplying 1435 by itself three times:
1435 × 1435 = 2,060,225, and then 2,060,225 × 1435 = 2,955,001,375.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 2,955,001,375 cm³.
Problem 5
Estimate the cube of 1434 using the cube of 1435.
The cube of 1434 is approximately 2,955,001,375.
Explanation
First, identify the cube of 1435,
The cube of 1435 is 1435³ = 2,955,001,375.
Since 1434 is only a tiny bit less than 1435, the cube of 1434 will be almost the same as the cube of 1435.
The cube of 1434 is approximately 2,955,001,375 because the difference between 1434 and 1435 is very small.
So, we can approximate the value as 2,955,001,375.
FAQs on Cube of 1435
1.What are the perfect cubes up to 1435?
2.How do you calculate 1435³?
3.What is the meaning of 1435³?
4.What is the cube root of 1435?
5.Is 1435 a perfect cube?
Important Glossaries for Cube of 1435
- 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.
- Cube Root: 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.
