Cube of 1267
2026-02-28 17:48 Diff
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Last updated on September 16, 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 cubes of 1267.

Cube of 1267

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 1267 can be written as 1267³, which is the exponential form. Or it can also be written in arithmetic form as 1267 × 1267 × 1267.

How to Calculate the Value of Cube of 1267

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 individuals cube the numbers faster and easier without feeling confused or stuck while evaluating the answers.

  1. By Multiplication Method
  2. Using a Formula
  3. Using a Calculator

By Multiplication Method

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. 1267³ = 1267 × 1267 × 1267

Step 2: You get 2,036,520,563 as the answer. Hence, the cube of 1267 is 2,036,520,563.

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Using a Formula (a³)

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 1267 into two parts, as a and b. Let a = 1200 and b = 67, so a + b = 1267

Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³

Step 3: Calculate each term a³ = 1200³

3a²b = 3 × 1200² × 67

3ab² = 3 × 1200 × 67²

b³ = 67³

Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³

(1200 + 67)³ = 1200³ + 3 × 1200² × 67 + 3 × 1200 × 67² + 67³

1267³ = 1,728,000,000 + 289,440,000 + 16,128,600 + 300,763

1267³ = 2,036,520,563

Step 5: Hence, the cube of 1267 is 2,036,520,563.

Using a Calculator

To find the cube of 1267 using a calculator, input the number 1267 and use the cube function (if available) or multiply 1267 × 1267 × 1267. This operation calculates the value of 1267³, resulting in 2,036,520,563. It’s a quick way to determine the cube without manual computation.

Step 1: Ensure the calculator is functioning properly.

Step 2: Press 1 followed by 267

Step 3: If the calculator has a cube function, press it to calculate 1267³.

Step 4: If there is no cube function on the calculator, simply multiply 1267 three times manually.

Step 5: The calculator will display 2,036,520,563.

Tips and Tricks for the Cube of 1267

  • 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.

Common Mistakes to Avoid When Calculating the Cube of 1267

There are some typical errors that might occur during the process of cubing a number. Let us take a look at five of the major mistakes that might be made:

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Problem 1

What is the cube and cube root of 1267?

Okay, lets begin

The cube of 1267 is 2,036,520,563 and the cube root of 1267 is approximately 10.747.

Explanation

First, let’s find the cube of 1267.

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 1267³ = 2,036,520,563

Next, we must find the cube root of 1267. 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 ∛1267 ≈ 10.747

Hence, the cube of 1267 is 2,036,520,563, and the cube root of 1267 is approximately 10.747.

Well explained 👍

Problem 2

If the side length of the cube is 1267 cm, what is the volume?

Okay, lets begin

The volume is 2,036,520,563 cm³.

Explanation

Use the volume formula for a cube V = Side³.

Substitute 1267 for the side length: V = 1267³ = 2,036,520,563 cm³.

Well explained 👍

Problem 3

How much larger is 1267³ than 1200³?

Okay, lets begin

1267³ – 1200³ = 308,520,563.

Explanation

First find the cube of 1267, that is 2,036,520,563

Next, find the cube of 1200, which is 1,728,000,000

Now, find the difference between them using the subtraction method.

2,036,520,563 – 1,728,000,000 = 308,520,563

Therefore, 1267³ is 308,520,563 larger than 1200³.

Well explained 👍

Problem 4

If a cube with a side length of 1267 cm is compared to a cube with a side length of 100 cm, how much larger is the volume of the larger cube?

Okay, lets begin

The volume of the cube with a side length of 1267 cm is 2,036,520,563 cm³.

Explanation

To find its volume, multiply the side length by itself three times (since it’s a 3-dimensional object).

Cubing 1267 means multiplying 1267 by itself three times: 1267 × 1267 = 1,605,089, and the 1,605,089 × 1267 = 2,036,520,563.

The unit of volume is cubic centimeters (cm³) because we are calculating the space inside the cube.

Therefore, the volume of the cube is 2,036,520,563 cm³.

Well explained 👍

Problem 5

Estimate the cube of 1266 using the cube of 1267.

Okay, lets begin

The cube of 1266 is approximately 2,036,520,563.

Explanation

First, identify the cube of 1267, The cube of 1267 is 1267³ = 2,036,520,563.

Since 1266 is only a tiny bit less than 1267, the cube of 1266 will be almost the same as the cube of 1267.

The cube of 1266 is approximately 2,036,520,563 because the difference between 1266 and 1267 is very small.

So, we can approximate the value as 2,036,520,563.

Well explained 👍

FAQs on Cube of 1267

1.What are the perfect cubes up to 1267?

The perfect cubes up to 1267 include numbers like 1, 8, 27, 64, 125, 216, 343, 512, 729, and 1000.

2.How do you calculate 1267³?

To calculate 1267³, use the multiplication method, 1267 × 1267 × 1267, which equals 2,036,520,563.

3.What is the meaning of 1267³?

1267³ means multiplying 1267 by itself three times, or 1267 × 1267 × 1267.

4.What is the cube root of 1267?

The cube root of 1267 is approximately 10.747.

5.Is 1267 a perfect cube?

No, 1267 is not a perfect cube because no integer multiplied by itself three times equals 1267.

Important Glossaries for Cube of 1267

  • Binomial Formula: It is an algebraic expression used to expand the powers of a number, written as (a + b)ⁿ, where ‘n’ is a positive integer raised to the base. The formula is used to find the square and cube of a number.
  • Cube of a Number: Multiplying a number by itself three times is called the cube of a number.
  • Exponential Form: It is a way of expressing numbers using a base and an exponent (or power), where the exponent value indicates how many times the base is multiplied by itself. For example, 2³ represents 2 × 2 × 2 equals 8.
  • Perfect Cube: A number that is the cube of an integer.
  • Volume Formula: The formula V = Side³ is used to calculate the volume of a cube, where "Side" is the length of one side of the cube.

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Jaskaran Singh Saluja

About the Author

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.

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: He loves to play the quiz with kids through algebra to make kids love it.