Last updated on June 3rd, 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 284.
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 284 can be written as 284³, which is the exponential form.
Or it can also be written in arithmetic form as 284 × 284 × 284.
In order to check whether a number is a cube number or not, we can use the following three methods: 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.
The multiplication method is a process in mathematics used to find the product of 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. 284³ = 284 × 284 × 284
Step 2: You get 22,940,544 as the answer. Hence, the cube of 284 is 22,940,544.
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 284 into two parts, as 280 and 4. Let a = 280 and b = 4, so a + b = 284
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 280³ 3a²b = 3 × 280² × 4 3ab² = 3 × 280 × 4² b³ = 4³
Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (280 + 4)³ = 280³ + 3 × 280² × 4 + 3 × 280 × 4² + 4³ 284³ = 21,952,000 + 940,800 + 13,440 + 64 284³ = 22,940,544
Step 5: Hence, the cube of 284 is 22,940,544.
To find the cube of 284 using a calculator, input the number 284 and use the cube function (if available) or multiply 284 × 284 × 284. This operation calculates the value of 284³, resulting in 22,940,544. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Enter 284
Step 3: If the calculator has a cube function, press it to calculate 284³.
Step 4: If there is no cube function on the calculator, simply multiply 284 three times manually.
Step 5: The calculator will display 22,940,544.
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 284?
The cube of 284 is 22,940,544 and the cube root of 284 is approximately 6.636.
First, let’s find the cube of 284.
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 284³ = 22,940,544
Next, we must find the cube root of 284
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 ∛284 ≈ 6.636
Hence the cube of 284 is 22,940,544 and the cube root of 284 is approximately 6.636.
If the side length of the cube is 284 cm, what is the volume?
The volume is 22,940,544 cm³.
Use the volume formula for a cube V = Side³.
Substitute 284 for the side length: V = 284³ = 22,940,544 cm³.
How much larger is 284³ than 280³?
284³ – 280³ = 988,544.
First find the cube of 284, which is 22,940,544
Next, find the cube of 280, which is 21,952,000
Now, find the difference between them using the subtraction method. 22,940,544 – 21,952,000 = 988,544
Therefore, 284³ is 988,544 larger than 280³.
If a cube with a side length of 284 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 284 cm is 22,940,544 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).]
Cubing 284 means multiplying 284 by itself three times: 284 × 284 = 80,656, and then 80,656 × 284 = 22,940,544.
The unit of volume is cubic centimeters (cm³) because we are calculating the space inside the cube.
Therefore, the volume of the cube is 22,940,544 cm³.
Estimate the cube of 283 using the cube of 284.
The cube of 283 is approximately 22,940,544.
First, identify the cube of 284,
The cube of 284 is 284³ = 22,940,544.
Since 283 is only slightly less than 284, the cube of 283 will be almost the same as the cube of 284.
The cube of 283 is approximately 22,940,544 because the difference between 283 and 284 is very small.
So, we can approximate the value as 22,940,544.
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.