Last updated on May 30th, 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 533.
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 533 can be written as 533³, which is the exponential form.
Or it can also be written in arithmetic form as 533 × 533 × 533.
To determine whether a number is a cube number, 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 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. 533³ = 533 × 533 × 533
Step 2: You get 151,942,237 as the answer. Hence, the cube of 533 is 151,942,237.
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 533 into two parts, as a and b. Let a = 500 and b = 33, so a + b = 533
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 500³ 3a²b = 3 × 500² × 33 3ab² = 3 × 500 × 33² b³ = 33³
Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (500 + 33)³ = 500³ + 3 × 500² × 33 + 3 × 500 × 33² + 33³ 533³ = 125,000,000 + 24,750,000 + 1,633,500 + 35,937 533³ = 151,942,237
Step 5: Hence, the cube of 533 is 151,942,237.
To find the cube of 533 using a calculator, input the number 533 and use the cube function (if available) or multiply 533 × 533 × 533. This operation calculates the value of 533³, resulting in 151,942,237. 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 3 followed by 3
Step 3: If the calculator has a cube function, press it to calculate 533³.
Step 4: If there is no cube function on the calculator, simply multiply 533 three times manually.
Step 5: The calculator will display 151,942,237.
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 533?
The cube of 533 is 151,942,237 and the cube root of 533 is approximately 8.109.
First, let’s find the cube of 533.
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 533³ = 151,942,237 Next, we must find the cube root of 533
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√533 ≈ 8.109
Hence, the cube of 533 is 151,942,237 and the cube root of 533 is approximately 8.109.
If the side length of a cube is 533 cm, what is the volume?
The volume is 151,942,237 cm³.
Use the volume formula for a cube V = Side³.
Substitute 533 for the side length: V = 533³ = 151,942,237 cm³.
How much larger is 533³ than 403³?
533³ - 403³ = 87,942,237.
First find the cube of 533, that is 151,942,237
Next, find the cube of 403, which is 64,000
Now, find the difference between them using the subtraction method.
151,942,237 - 64,000 = 87,942,237
Therefore, 533³ is 87,942,237 larger than 403³.
If a cube with a side length of 533 cm is compared to a cube with a side length of 10 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 533 cm is 151,942,237 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 533 means multiplying 533 by itself three times: 533 × 533 = 284,089, and then 284,089 × 533 = 151,942,237.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 151,942,237 cm³.
Estimate the cube of 532.5 using the cube of 533.
The cube of 532.5 is approximately 151,942,237.
First, identify the cube of 533,
The cube of 533 is 533³ = 151,942,237.
Since 532.5 is only a tiny bit less than 533, the cube of 532.5 will be almost the same as the cube of 533.
The cube of 532.5 is approximately 151,942,237 because the difference between 532.5 and 533 is very small.
So, we can approximate the value as 151,942,237.
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.