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 the cube of 499.
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 499 can be written as 499³, which is the exponential form. Or it can also be written in arithmetic form as, 499 × 499 × 499.
In order to check whether a number is a cube number or not, we can use the following three methods, such as multiplication method, a factor formula (a³), or by using a calculator. These three methods will help you 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. 499³ = 499 × 499 × 499
Step 2: You get 124,251,499 as the answer. Hence, the cube of 499 is 124,251,499.
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 499 into two parts, as 400 and 99. Let a = 400 and b = 99, so a + b = 499
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 400³ 3a²b = 3 × 400² × 99 3ab² = 3 × 400 × 99² b³ = 99³
Step 4: Add all the terms together:
(a + b)³ = a³ + 3a²b + 3ab² + b³
(400 + 99)³ = 400³ + 3 × 400² × 99 + 3 × 400 × 99² + 99³
499³ = 64,000,000 + 47,520,000 + 11,764,800 + 970,299
499³ = 124,251,499
Step 5: Hence, the cube of 499 is 124,251,499.
To find the cube of 499 using a calculator, input the number 499 and use the cube function (if available) or multiply 499 × 499 × 499. This operation calculates the value of 499³, resulting in 124,251,499. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Press 4 followed by 9 and 9
Step 3: If the calculator has a cube function, press it to calculate 499³.
Step 4: If there is no cube function on the calculator, simply multiply 499 three times manually.
Step 5: The calculator will display 124,251,499.
There are some typical errors that you might make during the process of cubing a number. Let us take a look at five of the major mistakes that can occur:
What is the cube and cube root of 499?
The cube of 499 is 124,251,499 and the cube root of 499 is approximately 7.937.
First, let’s find the cube of 499.
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 499³ = 124,251,499
Next, we must find the cube root of 499. 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 ∛499 ≈ 7.937
Hence, the cube of 499 is 124,251,499 and the cube root of 499 is approximately 7.937.
If the side length of the cube is 499 cm, what is the volume?
The volume is 124,251,499 cm³.
Use the volume formula for a cube V = Side³.
Substitute 499 for the side length: V = 499³ = 124,251,499 cm³.
How much larger is 499³ than 399³?
499³ – 399³ = 95,151,499.
First find the cube of 499³, which is 124,251,499 Next, find the cube of 399³, which is 29,100,000
Now, find the difference between them using the subtraction method.
124,251,499 – 29,100,000 = 95,151,499
Therefore, 499³ is 95,151,499 larger than 399³.
If a cube with a side length of 499 cm is compared to a cube with a side length of 99 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 499 cm is 124,251,499 cm³
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 499 means multiplying 499 by itself three times: 499 × 499 = 249,001, and then 249,001 × 499 = 124,251,499.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 124,251,499 cm³.
Estimate the cube of 498 using the cube of 499.
The cube of 498 is approximately 124,251,499.
First, identify the cube of 499, which is 499³ = 124,251,499.
Since 498 is only a tiny bit less than 499, the cube of 498 will be almost the same as the cube of 499.
The cube of 498 is approximately 124,251,499 because the difference between 498 and 499 is very small.
So, we can approximate the value as 124,251,499.
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.