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 sizes of objects or things with cubic measurements. In this topic, we shall learn about the cube of 267.
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 267 can be written as 267³, which is the exponential form.
Or it can also be written in arithmetic form as 267 × 267 × 267.
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. 267³ = 267 × 267 × 267
Step 2: You get 19,037,763 as the answer. Hence, the cube of 267 is 19,037,763.
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 267 into two parts, as 200 and 67. Let a = 200 and b = 67, so a + b = 267
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 200³ 3a²b = 3 × 200² × 67 3ab² = 3 × 200 × 67² b³ = 67³
Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (200 + 67)³ = 200³ + 3 × 200² × 67 + 3 × 200 × 67² + 67³ 267³ = 8,000,000 + 8,040,000 + 2,692,200 + 300,763 267³ = 19,037,763
Step 5: Hence, the cube of 267 is 19,037,763.
To find the cube of 267 using a calculator, input the number 267 and use the cube function (if available) or multiply 267 × 267 × 267. This operation calculates the value of 267³, resulting in 19,037,763. 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 7
Step 3: If the calculator has a cube function, press it to calculate 267³.
Step 4: If there is no cube function on the calculator, simply multiply 267 three times manually.
Step 5: The calculator will display 19,037,763.
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 267?
The cube of 267 is 19,037,763 and the cube root of 267 is approximately 6.407.
First, let’s find the cube of 267.
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 267³ = 19,037,763 Next, we must find the cube root of 267
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 ∛267 ≈ 6.407
Hence, the cube of 267 is 19,037,763 and the cube root of 267 is approximately 6.407.
If the side length of the cube is 267 cm, what is the volume?
The volume is 19,037,763 cm³.
Use the volume formula for a cube V = Side³.
Substitute 267 for the side length: V = 267³ = 19,037,763 cm³.
How much larger is 267³ than 200³?
267³ – 200³ = 11,037,763.
First, find the cube of 267³, which is 19,037,763
Next, find the cube of 200³, which is 8,000,000
Now, find the difference between them using the subtraction method. 19,037,763 – 8,000,000 = 11,037,763
Therefore, 267³ is 11,037,763 larger than 200³.
If a cube with a side length of 267 cm is compared to a cube with a side length of 67 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 267 cm is 19,037,763 cm³
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 267 means multiplying 267 by itself three times: 267 × 267 = 71,289, and then 71,289 × 267 = 19,037,763.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 19,037,763 cm³.
Estimate the cube of 266.9 using the cube of 267.
The cube of 266.9 is approximately 19,037,763.
First, identify the cube of 267,
The cube of 267 is 267³ = 19,037,763.
Since 266.9 is only a tiny bit less than 267, the cube of 266.9 will be almost the same as the cube of 267.
The cube of 266.9 is approximately 19,037,763 because the difference between 266.9 and 267 is very small.
So, we can approximate the value as 19,037,763.
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.