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 the cube of 426.
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 multiplied by itself three times results in a negative number.
The cube of 426 can be written as 426^3, which is the exponential form.
Or it can also be written in arithmetic form as, 426 × 426 × 426.
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. 426^3 = 426 × 426 × 426
Step 2: You get 77,283,576 as the answer. Hence, the cube of 426 is 77,283,576.
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 426 into two parts. Let a = 400 and b = 26, so a + b = 426
Step 2: Now, apply the formula (a + b)3 = a3 + 3a2b + 3ab2 + b3
Step 3: Calculate each term a3 = 4003 3a2b = 3 × 4002 × 26 3ab2 = 3 × 400 × 262 b3 = 263
Step 4: Add all the terms together: (a + b)3 = a3 + 3a2b + 3ab2 + b3 (400 + 26)3 = 4003 + 3 × 4002 × 26 + 3 × 400 × 262 + 263 4263 = 64,000,000 + 12,480,000 + 8,112,000 + 17,576 426^3 = 77,283,576
Step 5: Hence, the cube of 426 is 77,283,576.
To find the cube of 426 using a calculator, input the number 426 and use the cube function (if available) or multiply 426 × 426 × 426. This operation calculates the value of 4263, resulting in 77,283,576. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Press 4 followed by 2 and 6
Step 3: If the calculator has a cube function, press it to calculate 4263.
Step 4: If there is no cube function on the calculator, simply multiply 426 three times manually.
Step 5: The calculator will display 77,283,576.
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 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 426?
The cube of 426 is 77,283,576 and the cube root of 426 is approximately 7.503.
First, let’s find the cube of 426.
We know that the cube of a number is such that x3 = y
where x is the given number, and y is the cubed value of that number.
So, we get 426^3 = 77,283,576
Next, we must find the cube root of 426.
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 ∛426 ≈ 7.503
If the side length of the cube is 426 cm, what is the volume?
The volume is 77,283,576 cm3.
Use the volume formula for a cube V = Side3.
Substitute 426 for the side length: V = 4263 = 77,283,576 cm3.
How much larger is 426^3 than 400^3?
4263 – 4003 = 13,283,576.
First, find the cube of 426, which is 77,283,576.
Next, find the cube of 400, which is 64,000,000.
Now, find the difference between them using the subtraction method. 77,283,576 – 64,000,000 = 13,283,576
Therefore, 4263 is 13,283,576 larger than 4003.
If a cube with a side length of 426 cm is compared to a cube with a side length of 20 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 426 cm is 77,283,576 cm3.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 426 means multiplying 426 by itself three times: 426 × 426 = 181,476, and then 181,476 × 426 = 77,283,576.
The unit of volume is cubic centimeters (cm3) because we are calculating the space inside the cube.
Therefore, the volume of the cube is 77,283,576 cm3.
Estimate the cube of 425.5 using the cube of 426.
The cube of 425.5 is approximately 77,283,576.
First, identify the cube of 426.
The cube of 426 is 4263 = 77,283,576.
Since 425.5 is only slightly less than 426, the cube of 425.5 will be almost the same as the cube of 426.
The cube of 425.5 is approximately 77,283,576 because the difference between 425.5 and 426 is very small.
So, we can approximate the value as 77,283,576.
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.