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 526.
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 526 can be written as 526³, which is the exponential form. Or it can also be written in arithmetic form as, 526 × 526 × 526.
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 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.
526³ = 526 × 526 × 526
Step 2: You get 145,267,576 as the answer.
Hence, the cube of 526 is 145,267,576.
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 526 into two parts, as 520 and 6.
Let a = 520 and b = 6, so a + b = 526
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 520³
3a²b = 3 × 520² × 6 , 3ab² = 3 × 520 × 6², b³ = 6³
Step 4: Add all the terms together:
(a + b)³ = a³ + 3a²b + 3ab² + b³
(520 + 6)³ = 520³ + 3 × 520² × 6 + 3 × 520 × 6² + 6³ 526³
= 140,608,000 + 48,672 + 5,616 + 216 526³ = 145,267,576
Step 5: Hence, the cube of 526 is 145,267,576.
To find the cube of 526 using a calculator, input the number 526 and use the cube function (if available) or multiply 526 × 526 × 526. This operation calculates the value of 526³, resulting in 145,267,576. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Press 5 followed by 2 and 6
Step 3: If the calculator has a cube function, press it to calculate 526³.
Step 4: If there is no cube function on the calculator, simply multiply 526 three times manually.
Step 5: The calculator will display 145,267,576.
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 526?
The cube of 526 is 145,267,576, and the cube root of 526 is approximately 8.077.
First, let’s find the cube of 526.
We know that the cube of a number is x³ = y, where x is the given number, and y is the cubed value of that number.
So, we get 526³ = 145,267,576.
Next, we must find the cube root of 526.
We know that the cube root of a number ‘x’ is such that ∛x = y, where ‘x’ is the given number, and y is the cube root value of the number.
So, we get ∛526 ≈ 8.077.
Hence the cube of 526 is 145,267,576, and the cube root of 526 is approximately 8.077.
If the side length of the cube is 526 cm, what is the volume?
The volume is 145,267,576 cm³.
Use the volume formula for a cube V = Side³.
Substitute 526 for the side length: V = 526³ = 145,267,576 cm³.
How much larger is 526³ than 520³?
526³ – 520³ = 6,659,576.
First, find the cube of 526, which is 145,267,576.
Next, find the cube of 520, which is 140,608,000.
Now, find the difference between them using the subtraction method.
145,267,576 – 140,608,000 = 6,659,576.
Therefore, 526³ is 6,659,576 larger than 520³.
If a cube with a side length of 526 cm is compared to a cube with a side length of 6 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 526 cm is 145,267,576 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 526 means multiplying 526 by itself three times:
526 × 526 = 276,676, and then 276,676 × 526 = 145,267,576.
The unit of volume is cubic centimeters (cm³) because we are calculating the space inside the cube.
Therefore, the volume of the cube is 145,267,576 cm³.
Estimate the cube 525 using the cube 526.
The cube of 525 is approximately 145,267,576.
First, identify the cube of 526. The cube of 526 is 526³ = 145,267,576.
Since 525 is only a tiny bit less than 526, the cube of 525 will be almost the same as the cube of 526.
The cube of 525 is approximately 145,267,576 because the difference between 525 and 526 is very small.
So, we can approximate the value as 145,267,576.
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.