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 when comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about cubes of 625.
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 625 can be written as 625³, which is the exponential form. Or it can also be written in arithmetic form as 625 × 625 × 625.
In order to check whether a number is a cube number or not, we can use the following three methods: 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. 625³ = 625 × 625 × 625
Step 2: You get 244,140,625 as the answer. Hence, the cube of 625 is 244,140,625.
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 625 into two parts, as 600 and 25. Let a = 600 and b = 25, so a + b = 625
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term
a³ = 600³
3a²b = 3 × 600² × 25
3ab² = 3 × 600 × 25²
b³ = 25³
Step 4: Add all the terms together:
(a + b)³ = a³ + 3a²b + 3ab² + b³
(600 + 25)³ = 600³ + 3 × 600² × 25 + 3 × 600 × 25² + 25³
625³ = 216,000,000 + 27,000,000 + 11,250,000 + 15,625
625³ = 244,140,625
Step 5: Hence, the cube of 625 is 244,140,625.
To find the cube of 625 using a calculator, input the number 625 and use the cube function (if available) or multiply 625 × 625 × 625. This operation calculates the value of 625³, resulting in 244,140,625. 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 5
Step 3: If the calculator has a cube function, press it to calculate 625³.
Step 4: If there is no cube function on the calculator, simply multiply 625 three times manually.
Step 5: The calculator will display 244,140,625.
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 625?
The cube of 625 is 244,140,625 and the cube root of 625 is approximately 8.5499.
First, let’s find the cube of 625.
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 625³ = 244,140,625
Next, we must find the cube root of 625 We know that the cube root of a number ‘x’, such that ³√x = y Where ‘x’ is the given number, and y is the cube root value of the number
So, we get ³√625 = 8.5499
Hence the cube of 625 is 244,140,625, and the cube root of 625 is approximately 8.5499.
If the side length of the cube is 625 cm, what is the volume?
The volume is 244,140,625 cm³.
Use the volume formula for a cube V = Side³.
Substitute 625 for the side length: V = 625³ = 244,140,625 cm³.
How much larger is 625³ than 600³?
625³ – 600³ = 28,140,625.
First find the cube of 625³, that is 244,140,625
Next, find the cube of 600³, which is 216,000,000
Now, find the difference between them using the subtraction method.
244,140,625 – 216,000,000 = 28,140,625
Therefore, the 625³ is 28,140,625 larger than 600³.
If a cube with a side length of 625 cm is compared to a cube with a side length of 250 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 625 cm is 244,140,625 cm³
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 625 means multiplying 625 by itself three times: 625 × 625 = 390,625, and then 390,625 × 625 = 244,140,625.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 244,140,625 cm³.
Estimate the cube 624.9 using the cube 625.
The cube of 624.9 is approximately 244,140,625.
First, identify the cube of 625, The cube of 625 is 625³ = 244,140,625.
Since 624.9 is only a tiny bit less than 625, the cube of 624.9 will be almost the same as the cube of 625.
The cube of 624.9 is approximately 244,140,625 because the difference between 624.9 and 625 is very small.
So, we can approximate the value as 244,140,625.
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.