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 sizes of objects or things with cubic measurements. In this topic, we shall learn about cubes of 399.
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 because a negative number by itself three times results in a negative number.
The cube of 399 can be written as 399³, which is the exponential form.
Or it can also be written in arithmetic form as, 399 × 399 × 399.
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.
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. 399³ = 399 × 399 × 399
Step 2: You get 63,504,399 as the answer. Hence, the cube of 399 is 63,504,399.
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 399 into two parts. Let a = 400 and b = -1, so a + b = 399
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 400³ 3a²b = 3 × 400² × (-1) 3ab² = 3 × 400 × (-1)² b³ = (-1)³
Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (400 - 1)³ = 400³ + 3 × 400² × (-1) + 3 × 400 × 1 + (-1)³ 399³ = 64,000,000 - 480,000 + 1,200 - 1 399³ = 63,504,399
Step 5: Hence, the cube of 399 is 63,504,399.
To find the cube of 399 using a calculator, input the number 399 and use the cube function (if available) or multiply 399 × 399 × 399. This operation calculates the value of 399³, resulting in 63,504,399. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Press 3 followed by 9 and 9
Step 3: If the calculator has a cube function, press it to calculate 399³.
Step 4: If there is no cube function on the calculator, simply multiply 399 three times manually.
Step 5: The calculator will display 63,504,399.
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 399?
The cube of 399 is 63,504,399 and the cube root of 399 is approximately 7.368.
First, let’s find the cube of 399.
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 399³ = 63,504,399 Next, we must find the cube root of 399
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 ∛399 ≈ 7.368
Hence the cube of 399 is 63,504,399 and the cube root of 399 is approximately 7.368.
If the side length of the cube is 399 cm, what is the volume?
The volume is 63,504,399 cm³.
Use the volume formula for a cube V = Side³.
Substitute 399 for the side length: V = 399³ = 63,504,399 cm³.
How much larger is 399³ than 299³?
399³ – 299³ = 53,245,399.
First, find the cube of 399, which is 63,504,399
Next, find the cube of 299, which is 10,259,000
Now, find the difference between them using the subtraction method. 63,504,399 – 10,259,000 = 53,245,399
Therefore, 399³ is 53,245,399 larger than 299³.
If a cube with a side length of 399 cm is compared to a cube with a side length of 99 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 399 cm is 63,504,399 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 399 means multiplying 399 by itself three times: 399 × 399 = 159,201, and 159,201 × 399 = 63,504,399.
The unit of volume is cubic centimeters (cm³) because we are calculating the space inside the cube.
Therefore, the volume of the cube is 63,504,399 cm³.
Estimate the cube of 398.9 using the cube of 399.
The cube of 398.9 is approximately 63,504,399.
First, identify the cube of 399
The cube of 399 is 399³ = 63,504,399.
Since 398.9 is only a tiny bit less than 399, the cube of 398.9 will be almost the same as the cube of 399.
The cube of 398.9 is approximately 63,504,399 because the difference between 398.9 and 399 is very small.
So, we can approximate the value as 63,504,399.
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.