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 while comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about cubes of 656.
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 656 can be written as 656³, which is the exponential form. Or it can also be written in arithmetic form as, 656 × 656 × 656.
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. 656³ = 656 × 656 × 656
Step 2: You get 282,427,936 as the answer. Hence, the cube of 656 is 282,427,936.
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 656 into two parts, as 600 and 56. Let a = 600 and b = 56, so a + b = 656
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term
a³ = 600³
3a²b = 3 × 600² × 56
3ab² = 3 × 600 × 56²
b³ = 56³
Step 4: Add all the terms together:
(a + b)³ = a³ + 3a²b + 3ab² + b³
(600 + 56)³ = 600³ + 3 × 600² × 56 + 3 × 600 × 56² + 56³
656³ = 216,000,000 + 60,480,000 + 5,644,800 + 175,616
656³ = 282,427,936
Step 5: Hence, the cube of 656 is 282,427,936.
To find the cube of 656 using a calculator, input the number 656 and use the cube function (if available) or multiply 656 × 656 × 656. This operation calculates the value of 656³, resulting in 282,427,936. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Press 6 followed by 5 and then 6
Step 3: If the calculator has a cube function, press it to calculate 656³.
Step 4: If there is no cube function on the calculator, simply multiply 656 three times manually.
Step 5: The calculator will display 282,427,936.
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 656?
The cube of 656 is 282,427,936 and the cube root of 656 is approximately 8.692.
First, let’s find the cube of 656.
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 656³ = 282,427,936
Next, we must find the cube root of 656 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 ∛656 ≈ 8.692
Hence the cube of 656 is 282,427,936 and the cube root of 656 is approximately 8.692.
If the side length of the cube is 656 cm, what is the volume?
The volume is 282,427,936 cm³.
Use the volume formula for a cube V = Side³.
Substitute 656 for the side length: V = 656³ = 282,427,936 cm³.
How much larger is 656³ than 556³?
656³ – 556³ = 203,268,256.
First, find the cube of 656³, that is 282,427,936
Next, find the cube of 556³, which is 79,159,680
Now, find the difference between them using the subtraction method. 282,427,936 – 79,159,680 = 203,268,256
Therefore, the 656³ is 203,268,256 larger than 556³.
If a cube with a side length of 656 cm is compared to a cube with a side length of 156 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 656 cm is 282,427,936 cm³
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 656 means multiplying 656 by itself three times: 656 × 656 = 430,336, and then 430,336 × 656 = 282,427,936.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 282,427,936 cm³.
Estimate the cube 655.5 using the cube 656.
The cube of 655.5 is approximately 282,427,936.
First, identify the cube of 656, The cube of 656 is 656³ = 282,427,936.
Since 655.5 is only a tiny bit less than 656, the cube of 655.5 will be almost the same as the cube of 656.
The cube of 655.5 is approximately 282,427,936 because the difference between 655.5 and 656 is very small.
So, we can approximate the value as 282,427,936.
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.