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 the sizes of objects or things with cubic measurements. In this topic, we shall learn about cubes of 1303.
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 1303 can be written as 1303³, which is the exponential form. Or it can also be written in arithmetic form as, 1303 × 1303 × 1303.
In order to check whether a number is a cube number or not, we can use the following three methods, such as the multiplication method, a factor formula (a³), or by using a calculator.
These three methods will help calculate the cube of numbers faster and easier without confusion or difficulty.
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. 1303³ = 1303 × 1303 × 1303
Step 2: Calculate the cube to get the answer, which is 2,217,034,827.
Hence, the cube of 1303 is 2,217,034,827.
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 1303 into two parts. Let a = 1300 and b = 3, so a + b = 1303
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 1300³ 3a²b = 3 × 1300² × 3 3ab² = 3 × 1300 × 3² b³ = 3³
Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (1300 + 3)³ = 1300³ + 3 × 1300² × 3 + 3 × 1300 × 3² + 3³ 1303³ = 2,197,000,000 + 15,210,000 + 35,100 + 27 1303³ = 2,217,034,827
Step 5: Hence, the cube of 1303 is 2,217,034,827.
To find the cube of 1303 using a calculator, input the number 1303 and use the cube function (if available) or multiply 1303 × 1303 × 1303.
This operation calculates the value of 1303³, resulting in 2,217,034,827. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Input 1, 3, 0, and 3.
Step 3: If the calculator has a cube function, press it to calculate 1303³.
Step 4: If there is no cube function on the calculator, simply multiply 1303 three times manually.
Step 5: The calculator will display 2,217,034,827.
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 might occur during the process of cubing a number. Let us take a look at five of the major mistakes that might be made:
What is the cube and cube root of 1303?
The cube of 1303 is 2,217,034,827 and the cube root of 1303 is approximately 10.928.
First, let’s find the cube of 1303. 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 1303³ = 2,217,034,827
Next, we must find the cube root of 1303 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 ∛1303 ≈ 10.928
Hence the cube of 1303 is 2,217,034,827 and the cube root of 1303 is approximately 10.928.
If the side length of the cube is 1303 cm, what is the volume?
The volume is 2,217,034,827 cm³.
Use the volume formula for a cube V = Side³. Substitute 1303 for the side length: V = 1303³ = 2,217,034,827 cm³.
How much larger is 1303³ than 1293³?
1303³ – 1293³ = 77,826,827.
First find the cube of 1303³, that is 2,217,034,827 Next, find the cube of 1293³, which is 2,139,208,000 Now, find the difference between them using the subtraction method. 2,217,034,827 – 2,139,208,000 = 77,826,827
Therefore, 1303³ is 77,826,827 larger than 1293³.
If a cube with a side length of 1303 cm is compared to a cube with a side length of 101 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 1303 cm is 2,217,034,827 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 1303 means multiplying 1303 by itself three times: 1303 × 1303 = 1,698,409, and then 1,698,409 × 1303 = 2,217,034,827.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 2,217,034,827 cm³.
Estimate the cube 1302.9 using the cube of 1303.
The cube of 1302.9 is approximately 2,217,034,827.
First, identify the cube of 1303, The cube of 1303 is 1303³ = 2,217,034,827.
Since 1302.9 is only a tiny bit less than 1303, the cube of 1302.9 will be almost the same as the cube of 1303.
The cube of 1302.9 is approximately 2,217,034,827 because the difference between 1302.9 and 1303 is very small.
So, we can approximate the value as 2,217,034,827.
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.