Last updated on June 2nd, 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 cubes of 649.
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 649 can be written as 649³, which is the exponential form. Or it can also be written in arithmetic form as, 649 × 649 × 649.
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 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. 649³ = 649 × 649 × 649
Step 2: You get 273,920,089 as the answer. Hence, the cube of 649 is 273,920,089.
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 649 into two parts, as 600 and 49. Let a = 600 and b = 49, so a + b = 649
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term
a³ = 600³
3a²b = 3 × 600² × 49
3ab² = 3 × 600 × 49²
b³ = 49³
Step 4: Add all the terms together:
(a + b)³ = a³ + 3a²b + 3ab² + b³
(600 + 49)³ = 600³ + 3 × 600² × 49 + 3 × 600 × 49² + 49³
649³ = 216,000,000 + 52,920,000 + 43,362,000 + 588,089
649³ = 273,920,089
Step 5: Hence, the cube of 649 is 273,920,089.
To find the cube of 649 using a calculator, input the number 649 and use the cube function (if available) or multiply 649 × 649 × 649. This operation calculates the value of 649³, resulting in 273,920,089. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Enter 649
Step 3: If the calculator has a cube function, press it to calculate 649³.
Step 4: If there is no cube function on the calculator, simply multiply 649 three times manually.
Step 5: The calculator will display 273,920,089.
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 649?
The cube of 649 is 273,920,089 and the cube root of 649 is approximately 8.669.
First, let’s find the cube of 649. 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 649³ = 273,920,089
Next, we must find the cube root of 649 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 ∛649 ≈ 8.669
Hence, the cube of 649 is 273,920,089 and the cube root of 649 is approximately 8.669.
If the side length of the cube is 649 cm, what is the volume?
The volume is 273,920,089 cm³.
Use the volume formula for a cube V = Side³.
Substitute 649 for the side length: V = 649³ = 273,920,089 cm³.
How much larger is 649³ than 600³?
649³ – 600³ = 57,920,089.
First find the cube of 649³, that is 273,920,089 Next, find the cube of 600³, which is 216,000,000
Now, find the difference between them using the subtraction method.
273,920,089 – 216,000,000 = 57,920,089
Therefore, 649³ is 57,920,089 larger than 600³.
If a cube with a side length of 649 cm is compared to a cube with a side length of 50 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 649 cm is 273,920,089 cm³
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 649 means multiplying 649 by itself three times: 649 × 649 = 421,201, and then 421,201 × 649 = 273,920,089.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 273,920,089 cm³.
Estimate the cube 648 using the cube 649.
The cube of 648 is approximately 273,920,089.
First, identify the cube of 649, The cube of 649 is 649³ = 273,920,089.
Since 648 is very close to 649, the cube of 648 will be nearly the same as the cube of 649.
The cube of 648 is approximately 273,920,089 because the difference between 648 and 649 is very small.
So, we can approximate the value as 273,920,089.
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.