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 cubes of 1284.
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 1284 can be written as 1284³, which is the exponential form.
Or it can also be written in arithmetic form as, 1284 × 1284 × 1284.
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. 1284³ = 1284 × 1284 × 1284
Step 2: You get 2,115,572,304 as the answer. Hence, the cube of 1284 is 2,115,572,304.
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 1284 into two parts, as 1280 and 4. Let a = 1280 and b = 4, so a + b = 1284
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 1280³ 3a²b = 3 × 1280² × 4 3ab² = 3 × 1280 × 4² b³ = 4³
Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (1280 + 4)³ = 1280³ + 3 × 1280² × 4 + 3 × 1280 × 4² + 4³ 1284³ = 2,097,152,000 + 19,660,800 + 61,440 + 64 1284³ = 2,115,572,304
Step 5: Hence, the cube of 1284 is 2,115,572,304.
To find the cube of 1284 using a calculator, input the number 1284 and use the cube function (if available) or multiply 1284 × 1284 × 1284.
This operation calculates the value of 1284³, resulting in 2,115,572,304. 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 4
Step 3: If the calculator has a cube function, press it to calculate 1284³.
Step 4: If there is no cube function on the calculator, simply multiply 1284 three times manually.
Step 5: The calculator will display 2,115,572,304.
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 1284?
The cube of 1284 is 2,115,572,304, and the cube root of 1284 is approximately 10.724.
First, let’s find the cube of 1284. 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 1284³ = 2,115,572,304. Next, we must find the cube root of 1284.
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 ∛1284 ≈ 10.724.
Hence the cube of 1284 is 2,115,572,304, and the cube root of 1284 is approximately 10.724.
If the side length of the cube is 1284 cm, what is the volume?
The volume is 2,115,572,304 cm³.
Use the volume formula for a cube V = Side³. Substitute 1284 for the side length: V = 1284³ = 2,115,572,304 cm³.
How much larger is 1284³ than 1280³?
1284³ – 1280³ = 19,660,304.
First, find the cube of 1284, which is 2,115,572,304. Next, find the cube of 1280, which is 2,097,152,000.
Now, find the difference between them using the subtraction method. 2,115,572,304 – 2,097,152,000 = 19,660,304.
Therefore, 1284³ is 19,660,304 larger than 1280³.
If a cube with a side length of 1284 cm is compared to a cube with a side length of 4 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 1284 cm is 2,115,572,304 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 1284 means multiplying 1284 by itself three times: 1284 × 1284 = 1,648,656, and then 1,648,656 × 1284 = 2,115,572,304.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 2,115,572,304 cm³.
Estimate the cube of 1283 using the cube of 1284.
The cube of 1283 is approximately 2,115,572,304.
First, identify the cube of 1284. The cube of 1284 is 1284³ = 2,115,572,304. Since 1283 is only a tiny bit less than 1284, the cube of 1283 will be almost the same as the cube of 1284.
The cube of 1283 is approximately 2,115,572,304 because the difference between 1283 and 1284 is very small.
So, we can approximate the value as 2,115,572,304.
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.