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 often used when comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about the cube of 584.
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, and 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 584 can be written as 584³, which is the exponential form. Or it can also be written in arithmetic form as, 584 × 584 × 584.
To determine whether a number is a cube number or not, we can use the following three methods: the multiplication method, a factor formula (a³), or by using a calculator. These three methods help simplify the process of cubing numbers without confusion or errors.
The multiplication method is a process in mathematics used to find the product of three 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. 584³ = 584 × 584 × 584
Step 2: You get 199,383,104 as the answer. Hence, the cube of 584 is 199,383,104.
The binomial formula (a + b)³ is used to find the cube of a number. The formula is expanded as a³ + 3a²b + 3ab² + b³.
Step 1: Split the number 584 into two parts. Let a = 500 and b = 84, so a + b = 584
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term:
a³ = 500³
3a²b = 3 × 500² × 84
3ab² = 3 × 500 × 84²
b³ = 84³
Step 4: Add all the terms together:
(a + b)³ = a³ + 3a²b + 3ab² + b³
(500 + 84)³ = 500³ + 3 × 500² × 84 + 3 × 500 × 84² + 84³
Step 5: Calculate each part and sum them up:
500³ = 125,000,000 3 × 500² × 84 = 63,000,000 3 × 500 × 84² = 10,584,000 84³ = 592,704
Summing these gives: 125,000,000 + 63,000,000 + 10,584,000 + 592,704 = 199,383,104
Hence, the cube of 584 is 199,383,104.
To find the cube of 584 using a calculator, input the number 584 and use the cube function (if available) or multiply 584 × 584 × 584. This operation calculates the value of 584³, resulting in 199,383,104. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Enter 584
Step 3: If the calculator has a cube function, press it to calculate 584³.
Step 4: If there is no cube function on the calculator, simply multiply 584 three times manually.
Step 5: The calculator will display 199,383,104.
There are some typical errors that learners 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 584?
The cube of 584 is 199,383,104 and the cube root of 584 is approximately 8.3066.
First, let’s find the cube of 584.
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 584³ = 199,383,104.
Next, we must find the cube root of 584. 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 ∛584 ≈ 8.3066.
Hence, the cube of 584 is 199,383,104 and the cube root of 584 is approximately 8.3066.
If the side length of the cube is 584 cm, what is the volume?
The volume is 199,383,104 cm³.
Use the volume formula for a cube V = Side³.
Substitute 584 for the side length: V = 584³ = 199,383,104 cm³.
How much larger is 584³ than 400³?
584³ – 400³ = 199,383,104 - 64,000,000 = 135,383,104.
First find the cube of 584, that is 199,383,104.
Next, find the cube of 400, which is 64,000,000.
Now, find the difference between them using the subtraction method: 199,383,104 - 64,000,000 = 135,383,104.
Therefore, 584³ is 135,383,104 larger than 400³.
If a cube with a side length of 584 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 584 cm is 199,383,104 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 584 means multiplying 584 by itself three times: 584 × 584 = 341,056, and then 341,056 × 584 = 199,383,104.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 199,383,104 cm³.
Estimate the cube of 583.9 using the cube of 584.
The cube of 583.9 is approximately 199,383,104.
First, identify the cube of 584, The cube of 584 is 584³ = 199,383,104.
Since 583.9 is only a tiny bit less than 584, the cube of 583.9 will be almost the same as the cube of 584.
The cube of 583.9 is approximately 199,383,104 because the difference between 583.9 and 584 is very small.
So, we can approximate the value as 199,383,104.
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.