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 while comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about the cube of 1290.
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 1290 can be written as 1290³, which is the exponential form.
Or it can also be written in arithmetic form as, 1290 × 1290 × 1290.
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 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. 1290³ = 1290 × 1290 × 1290
Step 2: You get 2,144,049,000 as the answer. Hence, the cube of 1290 is 2,144,049,000.
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 1290 into two parts, as 1200 and 90. Let a = 1200 and b = 90, so a + b = 1290
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 1200³ 3a²b = 3 × 1200² × 90 3ab² = 3 × 1200 × 90² b³ = 90³
Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (1200 + 90)³ = 1200³ + 3 × 1200² × 90 + 3 × 1200 × 90² + 90³ 1290³ = 1,728,000,000 + 388,800,000 + 291,600,000 + 729,000 1290³ = 2,144,049,000
Step 5: Hence, the cube of 1290 is 2,144,049,000.
To find the cube of 1290 using a calculator, input the number 1290 and use the cube function (if available) or multiply 1290 × 1290 × 1290.
This operation calculates the value of 1290³, resulting in 2,144,049,000. 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 2, 9, and 0.
Step 3: If the calculator has a cube function, press it to calculate 1290³.
Step 4: If there is no cube function on the calculator, simply multiply 1290 three times manually.
Step 5: The calculator will display 2,144,049,000.
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 1290?
The cube of 1290 is 2,144,049,000 and the cube root of 1290 is approximately 10.799.
First, let’s find the cube of 1290. 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 1290³ = 2,144,049,000 Next, we must find the cube root of 1290 We know that the 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√1290 ≈ 10.799 Hence the cube of 1290 is 2,144,049,000 and the cube root of 1290 is approximately 10.799.
If the side length of the cube is 1290 cm, what is the volume?
The volume is 2,144,049,000 cm³.
Use the volume formula for a cube V = Side³. Substitute 1290 for the side length: V = 1290³ = 2,144,049,000 cm³.
How much larger is 1290³ than 1200³?
1290³ – 1200³ = 416,049,000.
First find the cube of 1290³, that is 2,144,049,000 Next, find the cube of 1200³, which is 1,728,000,000
Now, find the difference between them using the subtraction method. 2,144,049,000 – 1,728,000,000 = 416,049,000 Therefore, 1290³ is 416,049,000 larger than 1200³.
If a cube with a side length of 1290 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 1290 cm is 2,144,049,000 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 1290 means multiplying 1290 by itself three times: 1290 × 1290 = 1,664,100, and then 1,664,100 × 1290 = 2,144,049,000.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 2,144,049,000 cm³.
Estimate the cube of 1289.9 using the cube of 1290.
The cube of 1289.9 is approximately 2,144,049,000.
First, identify the cube of 1290, The cube of 1290 is 1290³ = 2,144,049,000.
Since 1289.9 is only a tiny bit less than 1290, the cube of 1289.9 will be almost the same as the cube of 1290.
The cube of 1289.9 is approximately 2,144,049,000 because the difference between 1289.9 and 1290 is very small.
So, we can approximate the value as 2,144,049,000.
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.