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 when comparing the sizes of objects or things with cubic measurements. In this topic, we shall learn about cubes of 260.
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 260 can be written as 260³, which is the exponential form.
Or it can also be written in arithmetic form as 260 × 260 × 260.
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. 260³ = 260 × 260 × 260
Step 2: You get 17,576,000 as the answer. Hence, the cube of 260 is 17,576,000.
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 260 into two parts, such as a and b. Let a = 200 and b = 60, so a + b = 260
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 200³ 3a²b = 3 × 200² × 60 3ab² = 3 × 200 × 60² b³ = 60³
Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (200 + 60)³ = 200³ + 3 × 200² × 60 + 3 × 200 × 60² + 60³ 260³ = 8,000,000 + 7,200,000 + 2,160,000 + 216,000 260³ = 17,576,000
Step 5: Hence, the cube of 260 is 17,576,000.
To find the cube of 260 using a calculator, input the number 260 and use the cube function (if available) or multiply 260 × 260 × 260. This operation calculates the value of 260³, resulting in 17,576,000. 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, and then 0
Step 3: If the calculator has a cube function, press it to calculate 260³.
Step 4: If there is no cube function on the calculator, simply multiply 260 three times manually.
Step 5: The calculator will display 17,576,000.
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 260?
The cube of 260 is 17,576,000 and the cube root of 260 is approximately 6.349.
First, let’s find the cube of 260.
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 260³ = 17,576,000
Next, we must find the cube root of 260
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 ∛260 ≈ 6.349
Hence the cube of 260 is 17,576,000 and the cube root of 260 is approximately 6.349.
If the side length of the cube is 260 cm, what is the volume?
The volume is 17,576,000 cm³.
Use the volume formula for a cube V = Side³.
Substitute 260 for the side length: V = 260³ = 17,576,000 cm³.
How much larger is 260³ than 210³?
260³ – 210³ = 10,676,000.
First, find the cube of 260³, that is 17,576,000
Next, find the cube of 210³, which is 6,900,000
Now, find the difference between them using the subtraction method. 17,576,000 – 6,900,000 = 10,676,000
Therefore, the 260³ is 10,676,000 larger than 210³.
If a cube with a side length of 260 cm is compared to a cube with a side length of 60 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 260 cm is 17,576,000 cm³
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 260 means multiplying 260 by itself three times: 260 × 260 = 67,600, and then 67,600 × 260 = 17,576,000.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 17,576,000 cm³.
Estimate the cube 259.9 using the cube 260.
The cube of 259.9 is approximately 17,576,000.
First, identify the cube of 260,
The cube of 260 is 260³ = 17,576,000.
Since 259.9 is only a tiny bit less than 260, the cube of 259.9 will be almost the same as the cube of 260.
The cube of 259.9 is approximately 17,576,000 because the difference between 259.9 and 260 is very small.
So, we can approximate the value as 17,576,000.
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.