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Last updated on August 5, 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 the cube of 1396.
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 multiplied by itself three times results in a negative number.
The cube of 1396 can be written as 1396³, which is the exponential form. Or it can also be written in arithmetic form as 1396 × 1396 × 1396.
In order to check whether a number is a cube number or not, we can use the following three methods, such as the multiplication method, a factor formula (a³), or by using a calculator.
These three methods will help 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. 1396³ = 1396 × 1396 × 1396
Step 2: You get 2,722,063,936 as the answer. Hence, the cube of 1396 is 2,722,063,936.
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 1396 into two parts, as 1300 and 96. Let a = 1300 and b = 96, so a + b = 1396
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term: a³ = 1300³ 3a²b = 3 × 1300² × 96 3ab² = 3 × 1300 × 96² b³ = 96³
Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (1300 + 96)³ = 1300³ + 3 × 1300² × 96 + 3 × 1300 × 96² + 96³ 1396³ = 2,197,000,000 + 486,720,000 + 115,200,000 + 884,736 1396³ = 2,722,063,936
Step 5: Hence, the cube of 1396 is 2,722,063,936.
To find the cube of 1396 using a calculator, input the number 1396 and use the cube function (if available) or multiply 1396 × 1396 × 1396.
This operation calculates the value of 1396³, resulting in 2,722,063,936.
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 3, 9, and 6
Step 3: If the calculator has a cube function, press it to calculate 1396³.
Step 4: If there is no cube function on the calculator, simply multiply 1396 three times manually.
Step 5: The calculator will display 2,722,063,936.
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 might occur during the process of cubing a number. Let us take a look at five of the major mistakes:
What is the cube and cube root of 1396?
The cube of 1396 is 2,722,063,936 and the cube root of 1396 is approximately 11.16.
First, let’s find the cube of 1396. 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 1396³ = 2,722,063,936. Next, we must find the cube root of 1396.
We know that 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 ∛1396 ≈ 11.16. Hence the cube of 1396 is 2,722,063,936 and the cube root of 1396 is approximately 11.16.
If the side length of the cube is 1396 cm, what is the volume?
The volume is 2,722,063,936 cm³.
Use the volume formula for a cube V = Side³. Substitute 1396 for the side length: V = 1396³ = 2,722,063,936 cm³.
How much larger is 1396³ than 1000³?
1396³ – 1000³ = 1,722,063,936.
First, find the cube of 1396³, which is 2,722,063,936. Next, find the cube of 1000³, which is 1,000,000,000.
Now, find the difference between them using the subtraction method. 2,722,063,936 – 1,000,000,000 = 1,722,063,936.
Therefore, 1396³ is 1,722,063,936 larger than 1000³.
If a cube with a side length of 1396 cm is compared to a cube with a side length of 500 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 1396 cm is 2,722,063,936 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 1396 means multiplying 1396 by itself three times: 1396 × 1396 = 1,948,816, and then 1,948,816 × 1396 = 2,722,063,936.
The unit of volume is cubic centimeters (cm³) because we are calculating the space inside the cube.
Therefore, the volume of the cube is 2,722,063,936 cm³.
Estimate the cube 1400 using the cube 1396.
The cube of 1400 is approximately 2,744,000,000.
First, identify the cube of 1396. The cube of 1396 is 1396³ = 2,722,063,936. Since 1400 is slightly larger than 1396, the cube of 1400 will be slightly larger than the cube of 1396.
The cube of 1400 is approximately 2,744,000,000 because the difference between 1400 and 1396 is small.
So, we can estimate the value as 2,744,000,000.
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.