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 the cube of 1304.
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 1304 can be written as 1304³, which is the exponential form.
Or it can also be written in arithmetic form as 1304 × 1304 × 1304.
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. 1304³ = 1304 × 1304 × 1304
Step 2: You get 2,222,592,064 as the answer. Hence, the cube of 1304 is 2,222,592,064.
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 1304 into two parts, such as 1300 and 4. Let a = 1300 and b = 4, so a + b = 1304
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 1300³ 3a²b = 3 × 1300² × 4 3ab² = 3 × 1300 × 4² b³ = 4³
Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (1300 + 4)³ = 1300³ + 3 × 1300² × 4 + 3 × 1300 × 4² + 4³ 1304³ = 2,197,000,000 + 20,280,000 + 62,400 + 64 1304³ = 2,222,592,064
Step 5: Hence, the cube of 1304 is 2,222,592,064.
To find the cube of 1304 using a calculator, input the number 1304 and use the cube function (if available) or multiply 1304 × 1304 × 1304. This operation calculates the value of 1304³, resulting in 2,222,592,064. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Input 1304 into the calculator.
Step 3: If the calculator has a cube function, press it to calculate 1304³.
Step 4: If there is no cube function on the calculator, simply multiply 1304 three times manually.
Step 5: The calculator will display 2,222,592,064.
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 1304?
The cube of 1304 is 2,222,592,064 and the cube root of 1304 is approximately 10.860.
First, let’s find the cube of 1304. 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 1304³ = 2,222,592,064 Next, we must find the cube root of 1304 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 ∛1304 = 10.860
Hence, the cube of 1304 is 2,222,592,064 and the cube root of 1304 is approximately 10.860.
If the side length of the cube is 1304 cm, what is the volume?
The volume is 2,222,592,064 cm³.
Use the volume formula for a cube V = Side³. Substitute 1304 for the side length: V = 1304³ = 2,222,592,064 cm³.
How much larger is 1304³ than 1303³?
1304³ – 1303³ = 6,115,368.
First, find the cube of 1304³, that is 2,222,592,064.
Next, find the cube of 1303³, which is 2,216,476,696.
Now, find the difference between them using the subtraction method. 2,222,592,064 – 2,216,476,696 = 6,115,368
Therefore, 1304³ is 6,115,368 larger than 1303³.
If a cube with a side length of 1304 cm is compared to a cube with a side length of 10 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 1304 cm is 2,222,592,064 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 1304 means multiplying 1304 by itself three times: 1304 × 1304 = 1,700,416, and then 1,700,416 × 1304 = 2,222,592,064.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 2,222,592,064 cm³.
Estimate the cube 1303.9 using the cube 1304.
The cube of 1303.9 is approximately 2,222,592,064.
First, identify the cube of 1304, The cube of 1304 is 1304³ = 2,222,592,064.
Since 1303.9 is only a tiny bit less than 1304, the cube of 1303.9 will be almost the same as the cube of 1304.
The cube of 1303.9 is approximately 2,222,592,064 because the difference between 1303.9 and 1304 is very small.
So, we can approximate the value as 2,222,592,064.
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.