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103 LearnersLast updated on August 5, 2025
Cube of 1418
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 the cube of 1418.
Cube of 1418
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 by itself three times results in a negative number. The cube of 1418 can be written as 1418³, which is the exponential form. Or it can also be written in arithmetic form as 1418 × 1418 × 1418.
How to Calculate the Value of Cube of 1418
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. 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. 1418³ = 1418 × 1418 × 1418
Step 2: You get 2,851,588,232 as the answer. Hence, the cube of 1418 is 2,851,588,232.
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 1418 into two parts. Let a = 1400 and b = 18, so a + b = 1418
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 1400³ 3a²b = 3 × 1400² × 18 3ab² = 3 × 1400 × 18² b³ = 18³
Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (1400 + 18)³ = 1400³ + 3 × 1400² × 18 + 3 × 1400 × 18² + 18³ 1418³ = 2,744,000,000 + 105,840,000 + 635,040 + 5,832 1418³ = 2,851,588,232
Step 5: Hence, the cube of 1418 is 2,851,588,232.
Using a Calculator
To find the cube of 1418 using a calculator, input the number 1418 and use the cube function (if available) or multiply 1418 × 1418 × 1418. This operation calculates the value of 1418³, resulting in 2,851,588,232. 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, 1, and 8
Step 3: If the calculator has a cube function, press it to calculate 1418³.
Step 4: If there is no cube function on the calculator, simply multiply 1418 three times manually.
Step 5: The calculator will display 2,851,588,232.
Tips and Tricks for the Cube of 1418
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 1418
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. That is, 1418 × 1418 and not 1418 × 1418 × 1418. Always remember that 1418³ = 1418 × 1418 × 1418.
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. For this, kids should always double-check their answers.
Mistake 5
Ignoring the Binomial Formula
Kids might attempt to split the 1418 into 1400 + 18, 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 1418
Problem 1
What is the cube and cube root of 1418?
The cube of 1418 is 2,851,588,232 and the cube root of 1418 is approximately 11.140.
Explanation
First, let’s find the cube of 1418. We know that 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 1418³ = 2,851,588,232 Next, we must find the cube root of 1418 We know that 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√1418 ≈ 11.140 Hence the cube of 1418 is 2,851,588,232 and the cube root of 1418 is approximately 11.140.
Problem 2
If the side length of the cube is 1418 cm, what is the volume?
The volume is 2,851,588,232 cm³.
Explanation
Use the volume formula for a cube V = Side³. Substitute 1418 for the side length: V = 1418³ = 2,851,588,232 cm³.
Problem 3
How much larger is 1418³ than 1400³?
1418³ – 1400³ = 107,588,232.
Explanation
First find the cube of 1418, which is 2,851,588,232 Next, find the cube of 1400, which is 2,744,000,000
Now, find the difference between them using the subtraction method. 2,851,588,232 – 2,744,000,000 = 107,588,232
Therefore, 1418³ is 107,588,232 larger than 1400³.
Problem 4
If a cube with a side length of 1418 cm is compared to a cube with a side length of 18 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 1418 cm is 2,851,588,232 cm³
Explanation
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object). Cubing 1418 means multiplying 1418 by itself three times: 1418 × 1418 = 2,009,524, and then 2,009,524 × 1418 = 2,851,588,232. The unit of volume is cubic centimeters (cm³) because we are calculating the space inside the cube. Therefore, the volume of the cube is 2,851,588,232 cm³.
Problem 5
Estimate the cube 1417.9 using the cube 1418.
The cube of 1417.9 is approximately 2,851,588,232.
Explanation
First, identify the cube of 1418, The cube of 1418 is 1418³ = 2,851,588,232. Since 1417.9 is only a tiny bit less than 1418, the cube of 1417.9 will be almost the same as the cube of 1418. The cube of 1417.9 is approximately 2,851,588,232 because the difference between 1417.9 and 1418 is very small. So, we can approximate the value as 2,851,588,232.
FAQs on Cube of 1418
1.What are the perfect cubes up to 1418?
2.How do you calculate 1418³?
3.What is the meaning of 1418³?
4.What is the cube root of 1418?
5.Is 1418 a perfect cube?
Important Glossaries for Cube of 1418
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Binomial Formula: An algebraic expression used to expand powers of a number, written as (a + b)ⁿ, where ‘n’ is a positive integer. It is commonly used to find squares and cubes.
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Cube of a Number: A number multiplied by itself three times.
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Exponential Form: A way to write repeated multiplication using a base and exponent. For example, 2³ = 2 × 2 × 2 = 8.
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Multiplication Method: A mathematical process that finds the product of two numbers through repeated addition.
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Perfect Cube: A number that is the cube of an integer, like 27 (which is 3³).
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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.
