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 the cube of 263.
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 263 can be written as 263³, which is the exponential form.
Or it can also be written in arithmetic form as, 263 × 263 × 263.
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 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. 263³ = 263 × 263 × 263
Step 2: You get 18,205,627 as the answer. Hence, the cube of 263 is 18,205,627.
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 263 into two parts, as a and b. Let a = 260 and b = 3, so a + b = 263
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 260³ 3a²b = 3 × 260² × 3 3ab² = 3 × 260 × 3² b³ = 3³
Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (260 + 3)³ = 260³ + 3 × 260² × 3 + 3 × 260 × 3² + 3³ 263³ = 17,576,000 + 60,840 + 7,020 + 27 263³ = 18,205,627
Step 5: Hence, the cube of 263 is 18,205,627.
To find the cube of 263 using a calculator, input the number 263 and use the cube function (if available) or multiply 263 × 263 × 263. This operation calculates the value of 263³, resulting in 18,205,627. 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 3
Step 3: If the calculator has a cube function, press it to calculate 263³.
Step 4: If there is no cube function on the calculator, simply multiply 263 three times manually.
Step 5: The calculator will display 18,205,627.
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 263?
The cube of 263 is 18,205,627 and the cube root of 263 is approximately 6.349.
First, let’s find the cube of 263.
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 263³ = 18,205,627 Next, we must find the cube root of 263
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 ∛263 ≈ 6.349
Hence the cube of 263 is 18,205,627 and the cube root of 263 is approximately 6.349.
If the side length of the cube is 263 cm, what is the volume?
The volume is 18,205,627 cm³.
Use the volume formula for a cube V = Side³.
Substitute 263 for the side length: V = 263³ = 18,205,627 cm³.
How much larger is 263³ than 253³?
263³ – 253³ = 1,996,627.
First, find the cube of 263³, that is 18,205,627
Next, find the cube of 253³, which is 16,209,000
Now, find the difference between them using the subtraction method. 18,205,627 – 16,209,000 = 1,996,627
Therefore, the 263³ is 1,996,627 larger than 253³.
If a cube with a side length of 263 cm is compared to a cube with a side length of 13 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 263 cm is 18,205,627 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 263 means multiplying 263 by itself three times: 263 × 263 = 69,169, and then 69,169 × 263 = 18,205,627.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 18,205,627 cm³.
Estimate the cube of 262.9 using the cube of 263.
The cube of 262.9 is approximately 18,205,627.
First, identify the cube of 263,
The cube of 263 is 263³ = 18,205,627.
Since 262.9 is only a tiny bit less than 263, the cube of 262.9 will be almost the same as the cube of 263.
The cube of 262.9 is approximately 18,205,627 because the difference between 262.9 and 263 is very small.
So, we can approximate the value as 18,205,627.
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.