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 often used when comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about the cube of 425.
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 multiplying a negative number by itself three times results in a negative number.
The cube of 425 can be written as 425³, which is the exponential form.
Or it can also be written in arithmetic form as 425 × 425 × 425.
In order to check whether a number is a cube number or not, we can use the following three methods: the multiplication method, a factor formula (a³), or by using a calculator. These three methods will help you cube numbers faster and easier without getting confused or stuck while evaluating the answers.
The multiplication method is a process in mathematics used to find the product of numbers 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. 425³ = 425 × 425 × 425
Step 2: You get 76,765,625 as the answer. Hence, the cube of 425 is 76,765,625.
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 425 into two parts, as 400 and 25. Let a = 400 and b = 25, so a + b = 425
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 400³ 3a²b = 3 × 400² × 25 3ab² = 3 × 400 × 25² b³ = 25³
Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (400 + 25)³ = 400³ + 3 × 400² × 25 + 3 × 400 × 25² + 25³ 425³ = 64,000,000 + 12,000,000 + 750,000 + 15,625 425³ = 76,765,625
Step 5: Hence, the cube of 425 is 76,765,625.
To find the cube of 425 using a calculator, input the number 425 and use the cube function (if available) or multiply 425 × 425 × 425. This operation calculates the value of 425³, resulting in 76,765,625. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Input 425
Step 3: If the calculator has a cube function, press it to calculate 425³.
Step 4: If there is no cube function on the calculator, simply multiply 425 three times manually.
Step 5: The calculator will display 76,765,625.
The cube of any even number is always even, while the cube of any odd number is always odd.
The product of two or more perfect cube numbers is always a perfect cube.
A perfect cube can always be expressed as the product of three identical groups of equal prime factors.
There are some typical errors that might occur during the process of cubing a number. Let us take a look at five of the major mistakes that might happen:
What is the cube and cube root of 425?
The cube of 425 is 76,765,625 and the cube root of 425 is approximately 7.5.
First, let’s find the cube of 425.
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 425³ = 76,765,625.
Next, we must find the cube root of 425.
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 ∛425 ≈ 7.5.
Hence, the cube of 425 is 76,765,625, and the cube root of 425 is approximately 7.5.
If the side length of the cube is 425 cm, what is the volume?
The volume is 76,765,625 cm³.
Use the volume formula for a cube V = Side³.
Substitute 425 for the side length: V = 425³ = 76,765,625 cm³.
How much larger is 425³ than 400³?
425³ – 400³ = 12,765,625.
First, find the cube of 425, which is 76,765,625.
Next, find the cube of 400, which is 64,000,000.
Now, find the difference between them using the subtraction method. 76,765,625 – 64,000,000 = 12,765,625.
Therefore, 425³ is 12,765,625 larger than 400³.
If a cube with a side length of 425 cm is compared to a cube with a side length of 25 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 425 cm is 76,765,625 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 425 means multiplying 425 by itself three times: 425 × 425 = 180,625, and then 180,625 × 425 = 76,765,625.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 76,765,625 cm³.
Estimate the cube 424.9 using the cube 425.
The cube of 424.9 is approximately 76,765,625.
First, identify the cube of 425,
The cube of 425 is 425³ = 76,765,625.
Since 424.9 is only a tiny bit less than 425, the cube of 424.9 will be almost the same as the cube of 425.
The cube of 424.9 is approximately 76,765,625 because the difference between 424.9 and 425 is very small.
So, we can approximate the value as 76,765,625.
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.