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 599.
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 599 can be written as 599³, which is the exponential form. Or it can also be written in arithmetic form as 599 × 599 × 599.
To check whether a number is a cube number or not, we can use the following three methods: the multiplication method, a factor formula (a³), or 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. 599³ = 599 × 599 × 599
Step 2: You get 214,668,599 as the answer. Hence, the cube of 599 is 214,668,599.
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 599 into two parts, such as 500 and 99. Let a = 500 and b = 99, so a + b = 599.
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³.
Step 3: Calculate each term: a³ = 500³ 3a²b = 3 × 500² × 99 3ab² = 3 × 500 × 99² b³ = 99³
Step 4: Add all the terms together:
(a + b)³ = a³ + 3a²b + 3ab² + b³
(500 + 99)³ = 500³ + 3 × 500² × 99 + 3 × 500 × 99² + 99³
599³ = 125,000,000 + 74,250,000 + 14,701,500 + 970,299
599³ = 214,668,599
Step 5: Hence, the cube of 599 is 214,668,599.
To find the cube of 599 using a calculator, input the number 599 and use the cube function (if available) or multiply 599 × 599 × 599. This operation calculates the value of 599³, resulting in 214,668,599. 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 9, and 9.
Step 3: If the calculator has a cube function, press it to calculate 599³.
Step 4: If there is no cube function on the calculator, simply multiply 599 three times manually.
Step 5: The calculator will display 214,668,599.
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 599?
The cube of 599 is 214,668,599 and the cube root of 599 is approximately 8.398.
First, let’s find the cube of 599. 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 599³ = 214,668,599.
Next, we must find the cube root of 599. 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 ∛599 ≈ 8.398.
Hence the cube of 599 is 214,668,599 and the cube root of 599 is approximately 8.398.
If the side length of a cube is 599 cm, what is the volume?
The volume is 214,668,599 cm³.
Use the volume formula for a cube V = Side³.
Substitute 599 for the side length: V = 599³ = 214,668,599 cm³.
How much larger is 599³ than 499³?
599³ – 499³ = 125,418,599.
First, find the cube of 599, which is 214,668,599.
Next, find the cube of 499, which is 89,250,000.
Now, find the difference between them using the subtraction method. 214,668,599 – 89,250,000 = 125,418,599. Therefore, 599³ is 125,418,599 larger than 499³.
If a cube with a side length of 599 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 599 cm is 214,668,599 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 599 means multiplying 599 by itself three times: 599 × 599 = 358,801, and then 358,801 × 599 = 214,668,599.
The unit of volume is cubic centimeters (cm³) because we are calculating the space inside the cube.
Therefore, the volume of the cube is 214,668,599 cm³.
Estimate the cube of 598.5 using the cube of 599.
The cube of 598.5 is approximately 214,668,599.
First, identify the cube of 599, The cube of 599 is 599³ = 214,668,599.
Since 598.5 is only a tiny bit less than 599, the cube of 598.5 will be almost the same as the cube of 599.
The cube of 598.5 is approximately 214,668,599 because the difference between 598.5 and 599 is very small.
So, we can approximate the value as 214,668,599.
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.