Last updated on May 28th, 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 553.
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 553 can be written as 553³, which is the exponential form.
Or it can also be written in arithmetic form as, 553 × 553 × 553.
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. 553³ = 553 × 553 × 553
Step 2: You get 169,745,177 as the answer. Hence, the cube of 553 is 169,745,177.
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 553 into two parts. Let a = 550 and b = 3, so a + b = 553
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 550³ 3a²b = 3 × 550² × 3 3ab² = 3 × 550 × 3² b³ = 3³
Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (550 + 3)³ = 550³ + 3 × 550² × 3 + 3 × 550 × 3² + 3³ 553³ = 166,375,000 + 272,250 + 14,850 + 27 553³ = 169,745,177
Step 5: Hence, the cube of 553 is 169,745,177.
To find the cube of 553 using a calculator, input the number 553 and use the cube function (if available) or multiply 553 × 553 × 553. This operation calculates the value of 553³, resulting in 169,745,177. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Enter 553
Step 3: If the calculator has a cube function, press it to calculate 553³.
Step 4: If there is no cube function on the calculator, simply multiply 553 three times manually.
Step 5: The calculator will display 169,745,177.
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 553?
The cube of 553 is 169,745,177 and the cube root of 553 is approximately 8.187.
First, let’s find the cube of 553.
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 553³ = 169,745,177.
Next, we must find the cube root of 553.
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√553 ≈ 8.187.
Hence, the cube of 553 is 169,745,177 and the cube root of 553 is approximately 8.187.
If the side length of the cube is 553 cm, what is the volume?
The volume is 169,745,177 cm³.
Use the volume formula for a cube V = Side³.
Substitute 553 for the side length: V = 553³ = 169,745,177 cm³.
How much larger is 553³ than 543³?
553³ – 543³ = 16,308,977.
First find the cube of 553, which is 169,745,177.
Next, find the cube of 543, which is 153,436,200.
Now, find the difference between them using the subtraction method. 169,745,177 – 153,436,200 = 16,308,977.
Therefore, 553³ is 16,308,977 larger than 543³.
If a cube with a side length of 553 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 553 cm is 169,745,177 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 553 means multiplying 553 by itself three times: 553 × 553 = 305,809, and then 305,809 × 553 = 169,745,177.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 169,745,177 cm³.
Estimate the cube of 552 using the cube of 553.
The cube of 552 is approximately 169,745,177.
First, identify the cube of 553,
The cube of 553 is 553³ = 169,745,177.
Since 552 is only a tiny bit less than 553, the cube of 552 will be almost the same as the cube of 553.
The cube of 552 is approximately 169,745,177 because the difference between 552 and 553 is very small.
So, we can approximate the value as 169,745,177.
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.