Last updated on May 30th, 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 626.
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 626 can be written as 626³, which is the exponential form. Or it can also be written in arithmetic form as, 626 × 626 × 626.
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. 626³ = 626 × 626 × 626
Step 2: You get 245,919,976 as the answer. Hence, the cube of 626 is 245,919,976.
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 626 into two parts, as 600 and 26. Let a = 600 and b = 26, so a + b = 626
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term
a³ = 600³
3a²b = 3 × 600² × 26
3ab² = 3 × 600 × 26²
b³ = 26³
Step 4: Add all the terms together:
(a + b)³ = a³ + 3a²b + 3ab² + b³
(600 + 26)³ = 600³ + 3 × 600² × 26 + 3 × 600 × 26² + 26³
626³ = 216,000,000 + 28,080,000 + 1,215,600 + 17,576
626³ = 245,919,976
Step 5: Hence, the cube of 626 is 245,919,976.
To find the cube of 626 using a calculator, input the number 626 and use the cube function (if available) or multiply 626 × 626 × 626. This operation calculates the value of 626³, resulting in 245,919,976. 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 2 and 6
Step 3: If the calculator has a cube function, press it to calculate 626³.
Step 4: If there is no cube function on the calculator, simply multiply 626 three times manually.
Step 5: The calculator will display 245,919,976.
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 626?
The cube of 626 is 245,919,976 and the cube root of 626 is approximately 8.545.
First, let’s find the cube of 626.
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 626³ = 245,919,976
Next, we must find the cube root of 626 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 ∛626 ≈ 8.545
Hence the cube of 626 is 245,919,976 and the cube root of 626 is approximately 8.545.
If the side length of the cube is 626 cm, what is the volume?
The volume is 245,919,976 cm³.
Use the volume formula for a cube V = Side³.
Substitute 626 for the side length: V = 626³ = 245,919,976 cm³.
How much larger is 626³ than 600³?
626³ – 600³ = 29,919,976.
First, find the cube of 626, which is 245,919,976.
Next, find the cube of 600, which is 216,000,000.
Now, find the difference between them using the subtraction method. 245,919,976 – 216,000,000 = 29,919,976
Therefore, the 626³ is 29,919,976 larger than 600³.
If a cube with a side length of 626 cm is compared to a cube with a side length of 26 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 626 cm is 245,919,976 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 626 means multiplying 626 by itself three times: 626 × 626 = 391,876, and 391,876 × 626 = 245,919,976.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 245,919,976 cm³.
Estimate the cube of 625 using the cube of 626.
The cube of 625 is approximately 245,919,976.
First, identify the cube of 626, The cube of 626 is 626³ = 245,919,976.
Since 625 is only a tiny bit less than 626, the cube of 625 will be almost the same as the cube of 626.
The cube of 625 is approximately 245,919,976 because the difference between 625 and 626 is very small.
So, we can approximate the value as 245,919,976.
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.