100 LearnersLast updated on June 3rd, 2025
Cube of 287
When a number is multiplied by itself thrice, the resultant number is called the cube of a number. Cubing is used in while comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about cubes of 287.
Cube of 287
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 287 can be written as 287³, which is the exponential form.
Or it can also be written in arithmetic form as, 287 × 287 × 287.
How to Calculate the Value of Cube of 287
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
By Multiplication Method
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. 287³ = 287 × 287 × 287
Step 2: You get 23,629,103 as the answer. Hence, the cube of 287 is 23,629,103.
Using a Formula (a³)
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 287 into two parts, as 200 and 87. Let a = 200 and b = 87, so a + b = 287
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 200³ 3a²b = 3 × 200² × 87 3ab² = 3 × 200 × 87² b³ = 87³
Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (200 + 87)³ = 200³ + 3 × 200² × 87 + 3 × 200 × 87² + 87³ 287³ = 8,000,000 + 10,440,000 + 4,537,800 + 658,303 287³ = 23,629,103
Step 5: Hence, the cube of 287 is 23,629,103.
Using a Calculator
To find the cube of 287 using a calculator, input the number 287 and use the cube function (if available) or multiply 287 × 287 × 287. This operation calculates the value of 287³, resulting in 23,629,103. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Press 2 followed by 8 and 7
Step 3: If the calculator has a cube function, press it to calculate 287³.
Step 4: If there is no cube function on the calculator, simply multiply 287 three times manually.
Step 5: The calculator will display 23,629,103.
Tips and Tricks for the Cube of 287
- 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.
Common Mistakes to Avoid When Calculating the Cube of 287
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:
Mistake 1
Incorrect Multiplication
Kids might multiply the numbers only twice. That is, 287 × 287 and not 287 × 287 × 287. Always remember that 287³ = 287 × 287 × 287.
Solved Examples on Cube of 287
Problem 1
What is the cube and cube root of 287?
The cube of 287 is 23,629,103, and the cube root of 287 is approximately 6.644.
Explanation
First, let’s find the cube of 287.
We know that 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 287³ = 23,629,103
Next, we must find the cube root of 287
We know that cube root of a number ‘x’, such that ³√x = y Where ‘x’ is the given number, and y is the cube root value of the number So, we get ³√287 ≈ 6.644
Hence, the cube of 287 is 23,629,103, and the cube root of 287 is approximately 6.644.
Problem 2
If the side length of the cube is 287 cm, what is the volume?
The volume is 23,629,103 cm³.
Explanation
Use the volume formula for a cube V = Side³.
Substitute 287 for the side length: V = 287³ = 23,629,103 cm³.
Problem 3
How much larger is 287³ than 200³?
287³ – 200³ = 15,629,103.
Explanation
First find the cube of 287³, that is 23,629,103
Next, find the cube of 200³, which is 8,000,000
Now, find the difference between them using the subtraction method. 23,629,103 – 8,000,000 = 15,629,103
Therefore, the 287³ is 15,629,103 larger than 200³.
Problem 4
If a cube with a side length of 287 cm is compared to a cube with a side length of 100 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 287 cm is 23,629,103 cm³.
Explanation
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 287 means multiplying 287 by itself three times: 287 × 287 = 82,369, and then 82,369 × 287 = 23,629,103.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 23,629,103 cm³.
Problem 5
Estimate the cube of 286.9 using the cube of 287.
The cube of 286.9 is approximately 23,629,103.
Explanation
First, identify the cube of 287,
The cube of 287 is 287³ = 23,629,103.
Since 286.9 is only a tiny bit less than 287, the cube of 286.9 will be almost the same as the cube of 287.
The cube of 286.9 is approximately 23,629,103 because the difference between 286.9 and 287 is very small.
So, we can approximate the value as 23,629,103.
FAQs on Cube of 287
1.What are the perfect cubes up to 287?
2.How do you calculate 287³?
3.What is the meaning of 287³?
4.What is the cube root of 287?
5.Is 287 a perfect cube?
6.How does learning Algebra help students in Philippines make better decisions in daily life?
7.How can cultural or local activities in Philippines support learning Algebra topics such as Cube of 287?
8.How do technology and digital tools in Philippines support learning Algebra and Cube of 287?
9.Does learning Algebra support future career opportunities for students in Philippines?
Important Glossaries for Cube of 287
- Binomial Formula: It is an algebraic expression used to expand the powers of a number, written as (a + b)ⁿ, where ‘n’ is a positive integer raised to the base. The formula is used to find the square and cube of a number.
- Cube of a Number: Multiplying a number by itself three times is called the cube of a number.
- Exponential Form: It is a way of expressing numbers using a base and an exponent (or power), where the exponent value indicates how many times the base is multiplied by itself. For example, 2³ represents 2 × 2 × 2 equals to 8.
- Perfect Cube: A number that can be expressed as the cube of an integer is called a perfect cube.
- Volume of a Cube: It is the amount of space occupied by a cube, calculated as the cube of the side length, expressed in cubic units.
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Jaskaran Singh Saluja
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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.
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