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 551.
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 multiplied by itself three times results in a negative number.
The cube of 551 can be written as 551³, which is the exponential form.
Or it can also be written in arithmetic form as, 551 × 551 × 551.
In order to check whether a number is a cube number or not, we can use the following three methods: multiplication method, 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 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. 551³ = 551 × 551 × 551
Step 2: You get 167,697,151 as the answer. Hence, the cube of 551 is 167,697,151.
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 551 into two parts, as 550 and 1. Let a = 550 and b = 1, so a + b = 551
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 550³ 3a²b = 3 × 550² × 1 3ab² = 3 × 550 × 1² b³ = 1³
Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (550 + 1)³ = 550³ + 3 × 550² × 1 + 3 × 550 × 1² + 1³ 551³ = 166,375,000 + 907,500 + 1,650 + 1 551³ = 167,284,151
Step 5: Hence, the cube of 551 is 167,697,151.
To find the cube of 551 using a calculator, input the number 551 and use the cube function (if available) or multiply 551 × 551 × 551. This operation calculates the value of 551³, resulting in 167,697,151. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Enter 551
Step 3: If the calculator has a cube function, press it to calculate 551³.
Step 4: If there is no cube function on the calculator, simply multiply 551 three times manually.
Step 5: The calculator will display 167,697,151.
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 of 551?
The cube of 551 is 167,697,151.
To find the cube of 551, multiply the number by itself three times. 551³ = 551 × 551 × 551 = 167,697,151
Therefore, the cube of 551 is 167,697,151.
If the side length of the cube is 551 cm, what is the volume?
The volume is 167,697,151 cm³.
Use the volume formula for a cube V = Side³.
Substitute 551 for the side length: V = 551³ = 167,697,151 cm³.
How much larger is 551³ than 550³?
551³ – 550³ = 1,322,651.
First, find the cube of 551, which is 167,697,151.
Next, find the cube of 550, which is 166,375,000.
Now, find the difference between them using the subtraction method. 167,697,151 – 166,375,000 = 1,322,651
Therefore, 551³ is 1,322,651 larger than 550³.
If a cube with a side length of 551 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 551 cm is 167,697,151 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 551 means multiplying 551 by itself three times: 551 × 551 = 303,601, and then 303,601 × 551 = 167,697,151.
The unit of volume is cubic centimeters (cm³) because we are calculating the space inside the cube.
Therefore, the volume of the cube is 167,697,151 cm³.
Estimate the cube of 550.1 using the cube of 551.
The cube of 550.1 is approximately 167,697,151.
First, identify the cube of 551, The cube of 551 is 551³ = 167,697,151.
Since 550.1 is only a tiny bit less than 551, the cube of 550.1 will be almost the same as the cube of 551.
The cube of 550.1 is approximately 167,697,151 because the difference between 550.1 and 551 is very small.
So, we can approximate the value as 167,697,151.
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.