100 LearnersLast updated on June 3rd, 2025
Cube of 290
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 cubes of 290.
Cube of 290
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 multiplying a negative number by itself three times results in a negative number.
The cube of 290 can be written as 290³, which is the exponential form.
Or it can also be written in arithmetic form as, 290 × 290 × 290.
How to Calculate the Value of Cube of 290
In order to check whether a number is a cube number or not, we can use the following three methods: 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.
- By Multiplication Method
- Using a Formula
- Using a Calculator
By Multiplication Method
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. 290³ = 290 × 290 × 290
Step 2: You get 24,389,000 as the answer. Hence, the cube of 290 is 24,389,000.
Using a Formula (a³)
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 290 into two parts. Let a = 200 and b = 90, so a + b = 290
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 200³ 3a²b = 3 × 200² × 90 3ab² = 3 × 200 × 90² b³ = 90³
Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (200 + 90)³ = 200³ + 3 × 200² × 90 + 3 × 200 × 90² + 90³ 290³ = 8,000,000 + 10,800,000 + 4,860,000 + 729,000 290³ = 24,389,000
Step 5: Hence, the cube of 290 is 24,389,000.
Using a Calculator
To find the cube of 290 using a calculator, input the number 290 and use the cube function (if available) or multiply 290 × 290 × 290. This operation calculates the value of 290³, resulting in 24,389,000. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Press 2 followed by 9 and 0
Step 3: If the calculator has a cube function, press it to calculate 290³.
Step 4: If there is no cube function on the calculator, simply multiply 290 three times manually.
Step 5: The calculator will display 24,389,000.
Tips and Tricks for the Cube of 290
- 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.
Common Mistakes to Avoid When Calculating the Cube of 290
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:
Mistake 1
Incorrect Multiplication
Kids might multiply the numbers only twice. That is, 290 × 290 and not 290 × 290 × 290. Always remember that 290³ = 290 × 290 × 290.
Solved Examples on Cube of 290
Problem 1
What is the cube and cube root of 290?
The cube of 290 is 24,389,000 and the cube root of 290 is approximately 6.658.
Explanation
First, let’s find the cube of 290.
We know that the cube of a number is such that x³ = y
Where x is the given number, and y is the cubed value of that number So, we get 290³ = 24,389,000
Next, we must find the cube root of 290
We know that the cube root of a number ‘x’ is 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√290 ≈ 6.658
Hence, the cube of 290 is 24,389,000 and the cube root of 290 is approximately 6.658.
Problem 2
If the side length of the cube is 290 cm, what is the volume?
The volume is 24,389,000 cm³.
Explanation
Use the volume formula for a cube V = Side³.
Substitute 290 for the side length: V = 290³ = 24,389,000 cm³.
Problem 3
How much larger is 290³ than 200³?
290³ – 200³ = 16,389,000.
Explanation
First find the cube of 290³, that is 24,389,000
Next, find the cube of 200³, which is 8,000,000
Now, find the difference between them using the subtraction method. 24,389,000 – 8,000,000 = 16,389,000
Therefore, 290³ is 16,389,000 larger than 200³.
Problem 4
If a cube with a side length of 290 cm is compared to a cube with a side length of 90 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 290 cm is 23,660,000 cm³ larger.
Explanation
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 290 means multiplying 290 by itself three times: 290 × 290 = 84,100, and then 84,100 × 290 = 24,389,000.
Cubing 90 means multiplying 90 by itself three times: 90 × 90 = 8,100, and then 8,100 × 90 = 729,000.
The difference between the two volumes: 24,389,000 - 729,000 = 23,660,000 cm³.
Problem 5
Estimate the cube of 289.9 using the cube of 290.
The cube of 289.9 is approximately 24,389,000.
Explanation
First, identify the cube of 290, The cube of 290 is 290³ = 24,389,000.
Since 289.9 is only a tiny bit less than 290, the cube of 289.9 will be almost the same as the cube of 290.
The cube of 289.9 is approximately 24,389,000 because the difference between 289.9 and 290 is very small.
So, we can approximate the value as 24,389,000.
FAQs on Cube of 290
1.What are the perfect cubes up to 290?
2.How do you calculate 290³?
3.What is the meaning of 290³?
4.What is the cube root of 290?
5.Is 290 a perfect cube?
6.How does learning Algebra help students in Thailand make better decisions in daily life?
7.How can cultural or local activities in Thailand support learning Algebra topics such as Cube of 290?
8.How do technology and digital tools in Thailand support learning Algebra and Cube of 290?
9.Does learning Algebra support future career opportunities for students in Thailand?
Important Glossaries for Cube of 290
- Binomial Formula: An algebraic expression used to expand the powers of a number, written as (a + b)ⁿ, where ‘n’ is a positive integer raised to the base. The formula is used to find the square and cube of a number.
- Cube of a Number: Multiplying a number by itself three times is called the cube of a number.
- Exponential Form: A way of expressing numbers using a base and an exponent (or power), where the exponent value indicates how many times the base is multiplied by itself. For example, 2³ represents 2 × 2 × 2 equals 8.
- Perfect Cube: A number that can be expressed as the product of three identical factors.
- Cubic Measurement: A method of quantifying the volume of a three-dimensional space, typically expressed in cubic units.
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Jaskaran Singh Saluja
About the Author
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.
Fun Fact
: He loves to play the quiz with kids through algebra to make kids love it.
