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 when comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about the cube of 588.
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 588 can be written as 588³, which is the exponential form. Or it can also be written in arithmetic form as, 588 × 588 × 588.
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 individuals 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. 588³ = 588 × 588 × 588
Step 2: You get 203,464,952 as the answer. Hence, the cube of 588 is 203,464,952.
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 588 into two parts, as 500 and 88. Let a = 500 and b = 88, so a + b = 588
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³= 500³ 3a²b = 3 × 500² × 88 3ab² = 3 × 500 × 88² b³ = 88³
Step 4: Add all the terms together:
(a + b)³ = a³ + 3a²b + 3ab² + b³
(500 + 88)³= 500³ + 3 × 500² × 88 + 3 × 500 × 88² + 88³
588³ = 125,000,000 + 66,000,000 + 11,616,000 + 681,472
588³ = 203,464,952
Step 5: Hence, the cube of 588 is 203,464,952.
To find the cube of 588 using a calculator, input the number 588 and use the cube function (if available) or multiply 588 × 588 × 588. This operation calculates the value of 588³, resulting in 203,464,952. 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 8 and 8
Step 3: If the calculator has a cube function, press it to calculate 588³.
Step 4: If there is no cube function on the calculator, simply multiply 588 three times manually.
Step 5: The calculator will display 203,464,952.
There are some typical errors that individuals might make during the process of cubing a number. Let us take a look at five of the major mistakes that might occur:
What is the cube and cube root of 588?
The cube of 588 is 203,464,952 and the cube root of 588 is approximately 8.322.
First, let’s find the cube of 588.
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 588³ = 203,464,952
Next, we must find the cube root of 588 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 ∛588 ≈ 8.322
Hence, the cube of 588 is 203,464,952 and the cube root of 588 is approximately 8.322.
If the side length of the cube is 588 cm, what is the volume?
The volume is 203,464,952 cm³.
Use the volume formula for a cube V = Side³. Substitute 588 for the side length: V = 588³ = 203,464,952 cm³.
How much larger is 588³ than 500³?
588³ – 500³ = 78,464,952.
First, find the cube of 588³, which is 203,464,952
Next, find the cube of 500³, which is 125,000,000
Now, find the difference between them using the subtraction method.
203,464,952 – 125,000,000 = 78,464,952
Therefore, 588³ is 78,464,952 larger than 500³.
If a cube with a side length of 588 cm is compared to a cube with a side length of 88 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 588 cm is 203,464,952 cm³
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 588 means multiplying 588 by itself three times: 588 × 588 = 345,744, and then 345,744 × 588 = 203,464,952.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 203,464,952 cm³.
Estimate the cube of 587.9 using the cube of 588.
The cube of 587.9 is approximately 203,464,952.
First, identify the cube of 588, The cube of 588 is 588³ = 203,464,952.
Since 587.9 is only a tiny bit less than 588, the cube of 587.9 will be almost the same as the cube of 588.
The cube of 587.9 is approximately 203,464,952 because the difference between 587.9 and 588 is very small.
So, we can approximate the value as 203,464,952.
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.