Last updated on June 30th, 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 1280.
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 1280 can be written as 1280³, which is the exponential form.
Or it can also be written in arithmetic form as 1280 × 1280 × 1280.
To check whether a number is a cube number or not, we can use the following three methods: the multiplication method, a factor formula (a³), or by using a calculator.
These methods will help you cube 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. 1280³ = 1280 × 1280 × 1280
Step 2: You get 2,097,152,000 as the answer. Hence, the cube of 1280 is 2,097,152,000.
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 1280 into two parts. Let a = 1000 and b = 280, so a + b = 1280
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 1000³ 3a²b = 3 × 1000² × 280 3ab² = 3 × 1000 × 280² b³ = 280³
Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (1000 + 280)³ = 1000³ + 3 × 1000² × 280 + 3 × 1000 × 280² + 280³ 1280³ = 1,000,000,000 + 840,000,000 + 235,200,000 + 21,952,000 1280³ = 2,097,152,000
Step 5: Hence, the cube of 1280 is 2,097,152,000.
To find the cube of 1280 using a calculator, input the number 1280 and use the cube function (if available) or multiply 1280 × 1280 × 1280.
This operation calculates the value of 1280³, resulting in 2,097,152,000. 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 2, 8, and 0
Step 3: If the calculator has a cube function, press it to calculate 1280³.
Step 4: If there is no cube function on the calculator, simply multiply 1280 three times manually.
Step 5: The calculator will display 2,097,152,000.
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 one might make during the process of cubing a number.
Let us take a look at five of the major mistakes that might occur:
What is the cube and cube root of 1280?
The cube of 1280 is 2,097,152,000 and the cube root of 1280 is approximately 10.79.
First, let’s find the cube of 1280. 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 1280³ = 2,097,152,000
Next, we must find the cube root of 1280 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 ∛1280 ≈ 10.79
Hence the cube of 1280 is 2,097,152,000 and the cube root of 1280 is approximately 10.79.
If the side length of the cube is 1280 cm, what is the volume?
The volume is 2,097,152,000 cm³.
Use the volume formula for a cube V = Side³. Substitute 1280 for the side length: V = 1280³ = 2,097,152,000 cm³.
How much larger is 1280³ than 1000³?
1280³ – 1000³ = 1,097,152,000.
First find the cube of 1280, that is 2,097,152,000 Next, find the cube of 1000, which is 1,000,000,000
Now, find the difference between them using the subtraction method. 2,097,152,000 – 1,000,000,000 = 1,097,152,000
Therefore, 1280³ is 1,097,152,000 larger than 1000³.
If a cube with a side length of 1280 cm is compared to a cube with a side length of 280 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 1280 cm is 2,097,152,000 cm³
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 1280 means multiplying 1280 by itself three times: 1280 × 1280 = 1,638,400, and then 1,638,400 × 1280 = 2,097,152,000.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 2,097,152,000 cm³.
Estimate the cube 1279.9 using the cube 1280.
The cube of 1279.9 is approximately 2,097,152,000.
First, identify the cube of 1280, The cube of 1280 is 1280³ = 2,097,152,000.
Since 1279.9 is only a tiny bit less than 1280, the cube of 1279.9 will be almost the same as the cube of 1280.
The cube of 1279.9 is approximately 2,097,152,000 because the difference between 1279.9 and 1280 is very small. So, we can approximate the value as 2,097,152,000.
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.