Last updated on June 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 the cube of 1293.
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 1293 can be written as 1293³, which is the exponential form.
Or it can also be written in arithmetic form as, 1293 × 1293 × 1293.
In order to check whether a number is a cube number or not, we can use the following three methods:
multiplication method, factor formula (a³), or 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 numbers 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. 1293³ = 1293 × 1293 × 1293
Step 2: You get 2,158,245,057 as the answer. Hence, the cube of 1293 is 2,158,245,057.
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 1293 into two parts. Let a = 1200 and b = 93, so a + b = 1293
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 1200³ 3a²b = 3 × 1200² × 93 3ab² = 3 × 1200 × 93² b³ = 93³
Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (1200 + 93)³ = 1200³ + 3 × 1200² × 93 + 3 × 1200 × 93² + 93³ 1293³ = 1,728,000,000 + 401,760,000 + 31,046,400 + 804,357 1293³ = 2,158,245,057
Step 5: Hence, the cube of 1293 is 2,158,245,057.
To find the cube of 1293 using a calculator, input the number 1293 and use the cube function (if available) or multiply 1293 × 1293 × 1293.
This operation calculates the value of 1293³, resulting in 2,158,245,057. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Enter 1, 2, 9, and 3.
Step 3: If the calculator has a cube function, press it to calculate 1293³.
Step 4: If there is no cube function on the calculator, simply multiply 1293 three times manually. Step 5: The calculator will display 2,158,245,057.
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 1293?
The cube of 1293 is 2,158,245,057 and the cube root of 1293 is approximately 10.79.
First, let’s find the cube of 1293. 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 1293³ = 2,158,245,057
Next, we must find the cube root of 1293 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 ∛1293 ≈ 10.79
Hence, the cube of 1293 is 2,158,245,057 and the cube root of 1293 is approximately 10.79.
If the side length of the cube is 1293 cm, what is the volume?
The volume is 2,158,245,057 cm³.
Use the volume formula for a cube V = Side³. Substitute 1293 for the side length: V = 1293³ = 2,158,245,057 cm³.
How much larger is 1293³ than 1000³?
1293³ – 1000³ = 1,158,245,057.
First, find the cube of 1293³, which is 2,158,245,057.
Next, find the cube of 1000³, which is 1,000,000,000.
Now, find the difference between them using the subtraction method. 2,158,245,057 – 1,000,000,000 = 1,158,245,057
Therefore, 1293³ is 1,158,245,057 larger than 1000³.
If a cube with a side length of 1293 cm is compared to a cube with a side length of 300 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 1293 cm is 2,158,245,057 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 1293 means multiplying 1293 by itself three times: 1293 × 1293 = 1,671,849, and then 1,671,849 × 1293 = 2,158,245,057.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 2,158,245,057 cm³.
Estimate the cube of 1290 using the cube of 1293.
The cube of 1290 is approximately 2,150,000,000.
First, identify the cube of 1293, The cube of 1293 is 1293³ = 2,158,245,057.
Since 1290 is only a tiny bit less than 1293, the cube of 1290 will be slightly less than the cube of 1293.
The cube of 1290 is approximately 2,150,000,000 because the difference between 1290 and 1293 is small.
So, we can approximate the value as 2,150,000,000.
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.