Last updated on June 3rd, 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 262.
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 262 can be written as 262³, which is the exponential form.
Or it can also be written in arithmetic form as, 262 × 262 × 262.
In order to check whether a number is a cube number or not, we can use the following three methods, such as the 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. 262³ = 262 × 262 × 262
Step 2: You get 17,985,128 as the answer. Hence, the cube of 262 is 17,985,128.
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 262 into two parts. Let a = 260 and b = 2, so a + b = 262
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 260³ 3a²b = 3 × 260² × 2 3ab² = 3 × 260 × 2² b³ = 2³
Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (260 + 2)³ = 260³ + 3 × 260² × 2 + 3 × 260 × 2² + 2³ 262³ = 17,576,000 + 405,600 + 3,120 + 8 262³ = 17,985,128
Step 5: Hence, the cube of 262 is 17,985,128.
To find the cube of 262 using a calculator, input the number 262 and use the cube function (if available) or multiply 262 × 262 × 262. This operation calculates the value of 262³, resulting in 17,985,128. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Press 2 followed by 6, then 2
Step 3: If the calculator has a cube function, press it to calculate 262³.
Step 4: If there is no cube function on the calculator, simply multiply 262 three times manually.
Step 5: The calculator will display 17,985,128.
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 262?
The cube of 262 is 17,985,128 and the cube root of 262 is approximately 6.349.
First, let’s find the cube of 262.
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 262³ = 17,985,128
Next, we must find the cube root of 262
We know that 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 ∛262 ≈ 6.349
Hence, the cube of 262 is 17,985,128 and the cube root of 262 is approximately 6.349.
If the side length of the cube is 262 cm, what is the volume?
The volume is 17,985,128 cm³.
Use the volume formula for a cube V = Side³.
Substitute 262 for the side length: V = 262³ = 17,985,128 cm³.
How much larger is 262³ than 252³?
262³ – 252³ = 5,831,128.
First find the cube of 262, that is 17,985,128
Next, find the cube of 252, which is 12,154,000
Now, find the difference between them using the subtraction method. 17,985,128 – 12,154,000 = 5,831,128
Therefore, 262³ is 5,831,128 larger than 252³.
If a cube with a side length of 262 cm is compared to a cube with a side length of 12 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 262 cm is 17,985,128 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 262 means multiplying 262 by itself three times: 262 × 262 = 68,644, and then 68,644 × 262 = 17,985,128.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 17,985,128 cm³.
Estimate the cube of 261.5 using the cube of 262.
The cube of 261.5 is approximately 17,985,128.
First, identify the cube of 262,
The cube of 262 is 262³ = 17,985,128. Since 261.5 is only slightly less than 262, the cube of 261.5 will be almost the same as the cube of 262.
The cube of 261.5 is approximately 17,985,128 because the difference between 261.5 and 262 is very small.
So, we can approximate the value as 17,985,128.
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.