Last updated on July 1st, 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 1347.
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 1347 can be written as 1347³, which is the exponential form. Or it can also be written in arithmetic form as 1347 × 1347 × 1347.
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. 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. 1347³ = 1347 × 1347 × 1347 Step 2: You get 2,448,366,723 as the answer. Hence, the cube of 1347 is 2,448,366,723.
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 1347 into two parts, as 1300 and 47. Let a = 1300 and b = 47, so a + b = 1347 Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³ Step 3: Calculate each term a³ = 1300³ 3a²b = 3 × 1300² × 47 3ab² = 3 × 1300 × 47² b³ = 47³ Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (1300 + 47)³ = 1300³ + 3 × 1300² × 47 + 3 × 1300 × 47² + 47³ 1347³ = 2,197,000,000 + 239,130,000 + 8,951,400 + 103,823 1347³ = 2,448,366,723 Step 5: Hence, the cube of 1347 is 2,448,366,723.
To find the cube of 1347 using a calculator, input the number 1347 and use the cube function (if available) or multiply 1347 × 1347 × 1347. This operation calculates the value of 1347³, resulting in 2,448,366,723. It’s a quick way to determine the cube without manual computation. Step 1: Ensure the calculator is functioning properly. Step 2: Press 1, 3, 4, and 7 Step 3: If the calculator has a cube function, press it to calculate 1347³. Step 4: If there is no cube function on the calculator, simply multiply 1347 three times manually. Step 5: The calculator will display 2,448,366,723.
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 1347?
The cube of 1347 is 2,448,366,723 and the cube root of 1347 is approximately 11.065.
First, let’s find the cube of 1347. 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 1347³ = 2,448,366,723 Next, we must find the cube root of 1347. 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 ∛1347 = 11.065 Hence the cube of 1347 is 2,448,366,723 and the cube root of 1347 is approximately 11.065.
If the side length of a cube is 1347 cm, what is the volume?
The volume is 2,448,366,723 cm³.
Use the volume formula for a cube V = Side³. Substitute 1347 for the side length: V = 1347³ = 2,448,366,723 cm³.
How much larger is 1347³ than 1000³?
1347³ – 1000³ = 1,448,366,723.
First find the cube of 1347³, that is 2,448,366,723. Next, find the cube of 1000³, which is 1,000,000,000. Now, find the difference between them using the subtraction method. 2,448,366,723 – 1,000,000,000 = 1,448,366,723 Therefore, 1347³ is 1,448,366,723 larger than 1000³.
If a cube with a side length of 1347 cm is compared to a cube with a side length of 100 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 1347 cm is 2,448,366,723 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object). Cubing 1347 means multiplying 1347 by itself three times: 1347 × 1347 = 1,814,409, and then 1,814,409 × 1347 = 2,448,366,723. The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube. Therefore, the volume of the cube is 2,448,366,723 cm³.
Estimate the cube of 1346 using the cube of 1347.
The cube of 1346 is slightly less than 2,448,366,723.
First, identify the cube of 1347, The cube of 1347 is 1347³ = 2,448,366,723. Since 1346 is only a tiny bit less than 1347, the cube of 1346 will be almost the same as the cube of 1347. The cube of 1346 is slightly less than 2,448,366,723 because the difference between 1346 and 1347 is very small.
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 amount of space occupied by a cube, calculated by raising the side length to the power of three (Side³). Cube Root: The cube root of a number is a value that, when multiplied by itself three times, gives the original number.
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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