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 while comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about cubes of 393.
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 393 can be written as 393³, which is the exponential form.
Or it can also be written in arithmetic form as 393 × 393 × 393.
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. 393³ = 393 × 393 × 393
Step 2: You get 60,830,037 as the answer. Hence, the cube of 393 is 60,830,037.
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 393 into two parts. Let a = 390 and b = 3, so a + b = 393
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 390³ 3a²b = 3 × 390² × 3 3ab² = 3 × 390 × 3² b³ = 3³
Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (390 + 3)³ = 390³ + 3 × 390² × 3 + 3 × 390 × 3² + 3³ 393³ = 59,319,000 + 13,689 + 3,510 + 27 393³ = 60,830,037
Step 5: Hence, the cube of 393 is 60,830,037.
To find the cube of 393 using a calculator, input the number 393 and use the cube function (if available) or multiply 393 × 393 × 393. This operation calculates the value of 393³, resulting in 60,830,037. 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 3.
Step 3: If the calculator has a cube function, press it to calculate 393³.
Step 4: If there is no cube function on the calculator, simply multiply 393 three times manually.
Step 5: The calculator will display 60,830,037.
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 393?
The cube of 393 is 60,830,037 and the cube root of 393 is approximately 7.368.
First, let’s find the cube of 393.
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 393³ = 60,830,037
Next, we must find the cube root of 393 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√393 ≈ 7.368 Hence the cube of 393 is 60,830,037 and the cube root of 393 is approximately 7.368.
If the side length of the cube is 393 cm, what is the volume?
The volume is 60,830,037 cm³.
Use the volume formula for a cube V = Side³.
Substitute 393 for the side length: V = 393³ = 60,830,037 cm³.
How much larger is 393³ than 290³?
393³ – 290³ = 52,798,037.
First, find the cube of 393, which is 60,830,037
Next, find the cube of 290, which is 8,032,000
Now, find the difference between them using the subtraction method. 60,830,037 – 8,032,000 = 52,798,037
Therefore, 393³ is 52,798,037 larger than 290³.
If a cube with a side length of 393 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 393 cm is 60,830,037 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 393 means multiplying 393 by itself three times: 393 × 393 = 154,449, and then 154,449 × 393 = 60,830,037.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 60,830,037 cm³.
Estimate the cube of 392.5 using the cube of 393.
The cube of 392.5 is approximately 60,830,037.
First, identify the cube of 393,
The cube of 393 is 393³ = 60,830,037.
Since 392.5 is only a tiny bit less than 393, the cube of 392.5 will be almost the same as the cube of 393.
The cube of 392.5 is approximately 60,830,037 because the difference between 392.5 and 393 is very small.
So, we can approximate the value as 60,830,037.
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.