Last updated on May 30th, 2025
When a number is multiplied by itself thrice, the resultant number is called the cube of a number. Cubing is used when comparing the sizes of objects or things with cubic measurements. In this topic, we shall learn about the cube of 418.
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 418 can be written as 418³, which is the exponential form.
Or it can also be written in arithmetic form as 418 × 418 × 418.
In order to check whether a number is a cube number or not, we can use the following three methods: the 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
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. 418³ = 418 × 418 × 418 Step 2: You get 73,047,032 as the answer. Hence, the cube of 418 is 73,047,032.
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 418 into two parts. Let a = 400 and b = 18, so a + b = 418
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 400³ 3a²b = 3 × 400² × 18 3ab² = 3 × 400 × 18² b³ = 18³
Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (400 + 18)³ = 400³ + 3 × 400² × 18 + 3 × 400 × 18² + 18³ 418³ = 64,000,000 + 8,640,000 + 388,800 + 5,832 418³ = 73,047,032
Step 5: Hence, the cube of 418 is 73,047,032.
To find the cube of 418 using a calculator, input the number 418 and use the cube function (if available) or multiply 418 × 418 × 418. This operation calculates the value of 418³, resulting in 73,047,032. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Press 4 followed by 1 and 8.
Step 3: If the calculator has a cube function, press it to calculate 418³.
Step 4: If there is no cube function on the calculator, simply multiply 418 three times manually.
Step 5: The calculator will display 73,047,032.
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.
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:
What is the cube and cube root of 418?
The cube of 418 is 73,047,032 and the cube root of 418 is approximately 7.467.
First, let’s find the cube of 418.
We know that the cube of a number x, such that x³ = y.
Where x is the given number, and y is the cubed value of that number.
So, we get 418³ = 73,047,032. Next, we must find the cube root of 418.
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 ∛418 ≈ 7.467.
Hence, the cube of 418 is 73,047,032 and the cube root of 418 is approximately 7.467.
If the side length of the cube is 418 cm, what is the volume?
The volume is 73,047,032 cm³.
Use the volume formula for a cube V = Side³.
Substitute 418 for the side length: V = 418³ = 73,047,032 cm³.
How much larger is 418³ than 400³?
418³ – 400³ = 9,047,032.
First find the cube of 418³, that is 73,047,032.
Next, find the cube of 400³, which is 64,000,000.
Now, find the difference between them using the subtraction method. 73,047,032 – 64,000,000 = 9,047,032.
Therefore, 418³ is 9,047,032 larger than 400³.
If a cube with a side length of 418 cm is compared to a cube with a side length of 200 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 418 cm is 73,047,032 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 418 means multiplying 418 by itself three times: 418 × 418 = 174,724, and then 174,724 × 418 = 73,047,032.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 73,047,032 cm³.
Estimate the cube of 417.9 using the cube of 418.
The cube of 417.9 is approximately 73,047,032.
First, identify the cube of 418.
The cube of 418 is 418³ = 73,047,032.
Since 417.9 is only a tiny bit less than 418, the cube of 417.9 will be almost the same as the cube of 418.
The cube of 417.9 is approximately 73,047,032 because the difference between 417.9 and 418 is very small.
So, we can approximate the value as 73,047,032.
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.
: He loves to play the quiz with kids through algebra to make kids love it.