Last updated on July 2nd, 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 1368.
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 1368 can be written as 1368³, which is the exponential form. Or it can also be written in arithmetic form as, 1368 × 1368 × 1368.
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. By Multiplication Method Using a Formula Using a Calculator
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. 1368³ = 1368 × 1368 × 1368 Step 2: You get 2,561,926,592 as the answer. Hence, the cube of 1368 is 2,561,926,592.
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 1368 into two parts. Let a = 1300 and b = 68, so a + b = 1368 Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³ Step 3: Calculate each term a³ = 1300³ 3a²b = 3 × 1300² × 68 3ab² = 3 × 1300 × 68² b³ = 68³ Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (1300 + 68)³ = 1300³ + 3 × 1300² × 68 + 3 × 1300 × 68² + 68³ 1368³ = 2,197,000,000 + 344,160,000 + 181,584,000 + 39,182,592 1368³ = 2,561,926,592 Step 5: Hence, the cube of 1368 is 2,561,926,592.
To find the cube of 1368 using a calculator, input the number 1368 and use the cube function (if available) or multiply 1368 × 1368 × 1368. This operation calculates the value of 1368³, resulting in 2,561,926,592. 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 8 Step 3: If the calculator has a cube function, press it to calculate 1368³. Step 4: If there is no cube function on the calculator, simply multiply 1368 three times manually. Step 5: The calculator will display 2,561,926,592.
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.
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 1368?
The cube of 1368 is 2,561,926,592 and the cube root of 1368 is approximately 11.076.
First, let’s find the cube of 1368. 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 1368³ = 2,561,926,592. Next, we must find the cube root of 1368. 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 ∛1368 ≈ 11.076. Hence, the cube of 1368 is 2,561,926,592 and the cube root of 1368 is approximately 11.076.
If the side length of a cube is 1368 cm, what is the volume?
The volume is 2,561,926,592 cm³.
Use the volume formula for a cube V = Side³. Substitute 1368 for the side length: V = 1368³ = 2,561,926,592 cm³.
How much larger is 1368³ than 1000³?
1368³ – 1000³ = 1,561,926,592.
First find the cube of 1368³, which is 2,561,926,592. Next, find the cube of 1000³, which is 1,000,000,000. Now, find the difference between them using the subtraction method. 2,561,926,592 – 1,000,000,000 = 1,561,926,592. Therefore, 1368³ is 1,561,926,592 larger than 1000³.
If a cube with a side length of 1368 cm is compared to a cube with a side length of 500 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 1368 cm is 2,561,926,592 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object). Cubing 1368 means multiplying 1368 by itself three times: 1368 × 1368 = 1,872,624, and then 1,872,624 × 1368 = 2,561,926,592. The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube. Therefore, the volume of the cube is 2,561,926,592 cm³.
Estimate the cube of 1367.5 using the cube of 1368.
The cube of 1367.5 is approximately 2,561,926,592.
First, identify the cube of 1368. The cube of 1368 is 1368³ = 2,561,926,592. Since 1367.5 is only a tiny bit less than 1368, the cube of 1367.5 will be almost the same as the cube of 1368. The cube of 1367.5 is approximately 2,561,926,592 because the difference between 1367.5 and 1368 is very small. So, we can approximate the value as 2,561,926,592.
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. Perfect Cube: A number that can be expressed as the cube of an integer. Volume of a Cube: The amount of space inside a cube, calculated as the side length cubed (Side³).
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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