Last updated on May 29th, 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 590.
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 590 can be written as 590³, which is the exponential form. Or it can also be written in arithmetic form as 590 × 590 × 590.
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.
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. 590³ = 590 × 590 × 590
Step 2: You get 205,379,000 as the answer. Hence, the cube of 590 is 205,379,000.
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 590 into two parts. Let a = 500 and b = 90, so a + b = 590
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 500³ 3a²b = 3 × 500² × 90 3ab² = 3 × 500 × 90² b³ = 90³
Step 4: Add all the terms together:
(a + b)³ = a³ + 3a²b + 3ab² + b³
(500 + 90)³ = 500³ + 3 × 500² × 90 + 3 × 500 × 90² + 90³
590³ = 125,000,000 + 67,500,000 + 12,150,000 + 729,000
590³ = 205,379,000
Step 5: Hence, the cube of 590 is 205,379,000.
To find the cube of 590 using a calculator, input the number 590 and use the cube function (if available) or multiply 590 × 590 × 590. This operation calculates the value of 590³, resulting in 205,379,000. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Press 5 followed by 9 and then 0.
Step 3: If the calculator has a cube function, press it to calculate 590³.
Step 4: If there is no cube function on the calculator, simply multiply 590 three times manually.
Step 5: The calculator will display 205,379,000.
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 590?
The cube of 590 is 205,379,000 and the cube root of 590 is approximately 8.3666.
First, let’s find the cube of 590.
We know that the cube of a number is defined as x³ = y, where x is the given number, and y is the cubed value of that number.
So, we get 590³ = 205,379,000
Next, we must find the cube root of 590. We know that the cube root of a number ‘x’ is such that ∛x = y, where ‘x’ is the given number, and y is the cube root value of the number.
So, we get ∛590 ≈ 8.3666
Hence, the cube of 590 is 205,379,000 and the cube root of 590 is approximately 8.3666.
If the side length of the cube is 590 cm, what is the volume?
The volume is 205,379,000 cm³.
Use the volume formula for a cube V = Side³.
Substitute 590 for the side length: V = 590³ = 205,379,000 cm³.
How much larger is 590³ than 400³?
590³ – 400³ = 198,379,000.
First, find the cube of 590, which is 205,379,000.
Next, find the cube of 400, which is 64,000,000.
Now, find the difference between them using the subtraction method.
205,379,000 – 64,000,000 = 141,379,000
Therefore, 590³ is 141,379,000 larger than 400³.
If a cube with a side length of 590 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 590 cm is 205,379,000 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 590 means multiplying 590 by itself three times: 590 × 590 = 348,100, and then 348,100 × 590 = 205,379,000.
The unit of volume is cubic centimeters (cm³) because we are calculating the space inside the cube.
Therefore, the volume of the cube is 205,379,000 cm³.
Estimate the cube of 589.9 using the cube of 590.
The cube of 589.9 is approximately 205,379,000.
First, identify the cube of 590. The cube of 590 is 590³ = 205,379,000.
Since 589.9 is only a tiny bit less than 590, the cube of 589.9 will be almost the same as the cube of 590.
The cube of 589.9 is approximately 205,379,000 because the difference between 589.9 and 590 is very small.
So, we can approximate the value as 205,379,000.
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.