Cube of 1367
2026-02-28 11:48 Diff
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Last updated on August 5, 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 1367.

Cube of 1367

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 1367 can be written as 1367³, which is the exponential form. Or it can also be written in arithmetic form as, 1367 × 1367 × 1367.

How to Calculate the Value of Cube of 1367

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. By Multiplication Method Using a Formula 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. 1367³ = 1367 × 1367 × 1367 Step 2: You get 2,556,946,263 as the answer. Hence, the cube of 1367 is 2,556,946,263.

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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 1367 into two parts, as 1300 and 67. Let a = 1300 and b = 67, so a + b = 1367 Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³ Step 3: Calculate each term a³ = 1300³ 3a²b = 3 × 1300² × 67 3ab² = 3 × 1300 × 67² b³ = 67³ Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (1300 + 67)³ = 1300³ + 3 × 1300² × 67 + 3 × 1300 × 67² + 67³ Step 5: Hence, the cube of 1367 is 2,556,946,263.

Using a Calculator

To find the cube of 1367 using a calculator, input the number 1367 and use the cube function (if available) or multiply 1367 × 1367 × 1367. This operation calculates the value of 1367³, resulting in 2,556,946,263. 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 3, 6, and 7 Step 3: If the calculator has a cube function, press it to calculate 1367³. Step 4: If there is no cube function on the calculator, simply multiply 1367 three times manually. Step 5: The calculator will display 2,556,946,263.

Tips and Tricks for the Cube of 1367

The cube of any even number is always even, while the cube of any odd number is always odd. 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 1367

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:

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Problem 1

What is the cube and cube root of 1367?

Okay, lets begin

The cube of 1367 is 2,556,946,263, and the cube root of 1367 is approximately 11.083.

Explanation

First, let’s find the cube of 1367. 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 1367³ = 2,556,946,263 Next, we must find the cube root of 1367 We know that the cube root of a number ‘x’, such that ³√x = y Where ‘x’ is the given number, and y is the cube root value of the number So, we get ³√1367 ≈ 11.083 Hence the cube of 1367 is 2,556,946,263 and the cube root of 1367 is approximately 11.083.

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Problem 2

If the side length of the cube is 1367 cm, what is the volume?

Okay, lets begin

The volume is 2,556,946,263 cm³.

Explanation

Use the volume formula for a cube V = Side³. Substitute 1367 for the side length: V = 1367³ = 2,556,946,263 cm³.

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Problem 3

How much larger is 1367³ than 136³?

Okay, lets begin

1367³ – 136³ = 2,556,912,407.

Explanation

First find the cube of 1367, that is 2,556,946,263 Next, find the cube of 136, which is 2,389,856 Now, find the difference between them using the subtraction method. 2,556,946,263 – 2,389,856 = 2,556,912,407 Therefore, 1367³ is 2,556,912,407 larger than 136³.

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Problem 4

If a cube with a side length of 1367 cm is compared to a cube with a side length of 137 cm, how much larger is the volume of the larger cube?

Okay, lets begin

The volume of the cube with a side length of 1367 cm is 2,556,946,263 cm³.

Explanation

To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object). Cubing 1367 means multiplying 1367 by itself three times: 1367 × 1367 = 1,868,489, and then 1,868,489 × 1367 = 2,556,946,263. The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube. Therefore, the volume of the cube is 2,556,946,263 cm³.

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Problem 5

Estimate the cube 1366.9 using the cube 1367.

Okay, lets begin

The cube of 1366.9 is approximately 2,556,946,263.

Explanation

First, identify the cube of 1367, The cube of 1367 is 1367³ = 2,556,946,263. Since 1366.9 is only a tiny bit less than 1367, the cube of 1366.9 will be almost the same as the cube of 1367. The cube of 1366.9 is approximately 2,556,946,263 because the difference between 1366.9 and 1367 is very small. So, we can approximate the value as 2,556,946,263.

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FAQs on Cube of 1367

1.What are the perfect cubes up to 1367?

The perfect cubes up to 1367 are 1, 8, 27, 64, 125, 216, 343, 512, 729, and 1000.

2.How do you calculate 1367³?

To calculate 1367³, use the multiplication method, 1367 × 1367 × 1367, which equals 2,556,946,263.

3.What is the meaning of 1367³?

1367³ means 1367 multiplied by itself three times, or 1367 × 1367 × 1367.

4.What is the cube root of 1367?

The cube root of 1367 is approximately 11.083.

5.Is 1367 a perfect cube?

No, 1367 is not a perfect cube because no integer multiplied by itself three times equals 1367.

Important Glossaries for Cube of 1367

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. Volume of a Cube: The space a cube occupies, calculated as the side length raised to the power of three. Perfect Cube: A number that can be expressed as the cube of an integer.

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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.