Last updated on May 26th, 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 cubes of 179.
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 179 can be written as 179³, which is the exponential form. Or it can also be written in arithmetic form as, 179 × 179 × 179.
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. 179³ = 179 × 179 × 179
Step 2: You get 5,736,389 as the answer. Hence, the cube of 179 is 5,736,389.
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 179 into two parts, as and . Let a = 170 and b = 9, so a + b = 179
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term
a³ = 170³
3a²b = 3 × 170² × 9
3ab² = 3 × 170 × 9²
b³ = 9³
Step 4: Add all the terms together:
(a + b)³ = a³ + 3a²b + 3ab² + b³
(170 + 9)³ = 170³ + 3 × 170² × 9 + 3 × 170 × 9² + 9³
179³ = 4,913,000 + 390,150 + 41,310 + 729
179³ = 5,736,389
Step 5: Hence, the cube of 179 is 5,736,389.
To find the cube of 179 using a calculator, input the number 179 and use the cube function (if available) or multiply 179 × 179 × 179. This operation calculates the value of 179³, resulting in 5,736,389. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Press 1 followed by 7 and 9
Step 3: If the calculator has a cube function, press it to calculate 179³.
Step 4: If there is no cube function on the calculator, simply multiply 179 three times manually.
Step 5: The calculator will display 5,736,389.
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 179?
The cube of 179 is 5,736,389 and the cube root of 179 is approximately 5.646.
First, let’s find the cube of 179.
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 179³ = 5,736,389
Next, we must find the cube root of 179 We know that 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 ∛179 ≈ 5.646
Hence the cube of 179 is 5,736,389 and the cube root of 179 is approximately 5.646.
If the side length of the cube is 179 cm, what is the volume?
The volume is 5,736,389 cm³.
Use the volume formula for a cube V = Side³.
Substitute 179 for the side length: V = 179³ = 5,736,389 cm³.
How much larger is 179³ than 170³?
179³ – 170³ = 823,389.
First find the cube of 179³, that is 5,736,389
Next, find the cube of 170³, which is 4,913,000
Now, find the difference between them using the subtraction method.
5,736,389 – 4,913,000 = 823,389
Therefore, the 179³ is 823,389 larger than 170³.
If a cube with a side length of 179 cm is compared to a cube with a side length of 9 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 179 cm is 5,736,389 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 179 means multiplying 179 by itself three times: 179 × 179 = 32,041, and then 32,041 × 179 = 5,736,389.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 5,736,389 cm³.
Estimate the cube 178.9 using the cube 179.
The cube of 178.9 is approximately 5,736,389.
First, identify the cube of 179, The cube of 179 is 179³ = 5,736,389.
Since 178.9 is only a tiny bit less than 179, the cube of 178.9 will be almost the same as the cube of 179.
The cube of 178.9 is approximately 5,736,389 because the difference between 178.9 and 179 is very small.
So, we can approximate the value as 5,736,389.
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.