Last updated on June 1st, 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 390.
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 390 can be written as 390³, which is the exponential form.
Or it can also be written in arithmetic form as, 390 × 390 × 390.
In order to check whether a number is a cube number or not, we can use the following three methods, such as 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. 390³ = 390 × 390 × 390
Step 2: You get 59,319,000 as the answer. Hence, the cube of 390 is 59,319,000.
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 390 into two parts. Let a = 300 and b = 90, so a + b = 390
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 300³ 3a²b = 3 × 300² × 90 3ab² = 3 × 300 × 90² b³ = 90³
Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (300 + 90)³ = 300³ + 3 × 300² × 90 + 3 × 300 × 90² + 90³ 390³ = 27,000,000 + 24,300,000 + 7,290,000 + 729,000 390³ = 59,319,000
Step 5: Hence, the cube of 390 is 59,319,000.
To find the cube of 390 using a calculator, input the number 390 and use the cube function (if available) or multiply 390 × 390 × 390. This operation calculates the value of 390³, resulting in 59,319,000. 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 then 0
Step 3: If the calculator has a cube function, press it to calculate 390³.
Step 4: If there is no cube function on the calculator, simply multiply 390 three times manually.
Step 5: The calculator will display 59,319,000.
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 390?
The cube of 390 is 59,319,000 and the cube root of 390 is approximately 7.283.
First, let’s find the cube of 390.
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 390³ = 59,319,000 Next, we must find the cube root of 390
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 ∛390 ≈ 7.283
Hence the cube of 390 is 59,319,000 and the cube root of 390 is approximately 7.283.
If the side length of the cube is 390 cm, what is the volume?
The volume is 59,319,000 cm³.
Use the volume formula for a cube V = Side³.
Substitute 390 for the side length: V = 390³ = 59,319,000 cm³.
How much larger is 390³ than 300³?
390³ – 300³ = 32,319,000.
First find the cube of 390³, that is 59,319,000
Next, find the cube of 300³, which is 27,000,000
Now, find the difference between them using the subtraction method. 59,319,000 – 27,000,000 = 32,319,000
Therefore, 390³ is 32,319,000 larger than 300³.
If a cube with a side length of 390 cm is compared to a cube with a side length of 100 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 390 cm is 59,319,000 cm³
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 390 means multiplying 390 by itself three times: 390 × 390 = 152,100, and then 152,100 × 390 = 59,319,000.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 59,319,000 cm³.
Estimate the cube of 389.9 using the cube of 390.
The cube of 389.9 is approximately 59,319,000.
First, identify the cube of 390,
The cube of 390 is 390³ = 59,319,000.
Since 389.9 is only a tiny bit less than 390, the cube of 389.9 will be almost the same as the cube of 390.
The cube of 389.9 is approximately 59,319,000 because the difference between 389.9 and 390 is very small.
So, we can approximate the value as 59,319,000.
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.