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 while comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about the cube of 89.
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 89 can be written as 89³, which is the exponential form.
Or it can also be written in arithmetic form as, 89 × 89 × 89.
In order to check whether a number is a cube number or not, we can use the following three methods, such as the 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. 89³ = 89 × 89 × 89
Step 2: You get 704,969 as the answer.
Hence, the cube of 89 is 704,969.
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 89 into two parts, as 80 and 9. Let a = 80 and b = 9, so a + b = 89
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 80³ 3a²b = 3 × 80² × 9 3ab² = 3 × 80 × 9² b³ = 9³
Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (80 + 9)³ = 80³ + 3 × 80² × 9 + 3 × 80 × 9² + 9³ 89³ = 512,000 + 172,800 + 19,440 + 729 89³ = 704,969
Step 5: Hence, the cube of 89 is 704,969.
To find the cube of 89 using a calculator, input the number 89 and use the cube function (if available) or multiply 89 × 89 × 89. This operation calculates the value of 89³, resulting in 704,969. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Press 8 followed by 9
Step 3: If the calculator has a cube function, press it to calculate 89³.
Step 4: If there is no cube function on the calculator, simply multiply 89 three times manually.
Step 5: The calculator will display 704,969.
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 89?
The cube of 89 is 704,969 and the cube root of 89 is approximately 4.464.
First, let’s find the cube of 89.
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 89³ = 704,969 Next, we must find the cube root of 89.
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 ∛89 ≈ 4.464
Hence, the cube of 89 is 704,969 and the cube root of 89 is approximately 4.464.
If the side length of the cube is 89 cm, what is the volume?
The volume is 704,969 cm³.
Use the volume formula for a cube V = Side³.
Substitute 89 for the side length: V = 89³ = 704,969 cm³.
How much larger is 89³ than 79³?
89³ – 79³ = 347,989.
First, find the cube of 89³, that is 704,969.
Next, find the cube of 79³, which is 356,980.
Now, find the difference between them using the subtraction method. 704,969 – 356,980 = 347,989
Therefore, the 89³ is 347,989 larger than 79³.
If a cube with a side length of 89 cm is compared to a cube with a side length of 45 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 89 cm is 704,969 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 89 means multiplying 89 by itself three times: 89 × 89 = 7,921, and then 7,921 × 89 = 704,969.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 704,969 cm³.
Estimate the cube of 88.9 using the cube of 89.
The cube of 88.9 is approximately 704,969.
First, identify the cube of 89,
The cube of 89 is 89³ = 704,969.
Since 88.9 is only a tiny bit less than 89, the cube of 88.9 will be almost the same as the cube of 89.
The cube of 88.9 is approximately 704,969 because the difference between 88.9 and 89 is very small.
So, we can approximate the value as 704,969.
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.