101 LearnersLast updated on June 3rd, 2025
Cube of 710
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 cubes of 710.
Cube of 710
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 710 can be written as 710³, which is the exponential form. Or it can also be written in arithmetic form as 710 × 710 × 710.
How to Calculate the Value of Cube of 710
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.
- 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. 710³ = 710 × 710 × 710
Step 2: You get 357,911,000 as the answer. Hence, the cube of 710 is 357,911,000.
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 710 into two parts. Let a = 700 and b = 10, so a + b = 710
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term
a³ = 700³
3a²b = 3 × 700² × 10
3ab² = 3 × 700 × 10²
b³ = 10³
Step 4: Add all the terms together:
(a + b)³ = a³ + 3a²b + 3ab² + b³
(700 + 10)³ = 700³ + 3 × 700² × 10 + 3 × 700 × 10² + 10³
710³ = 343,000,000 + 147,000 + 21,000 + 1,000
710³ = 357,911,000
Step 5: Hence, the cube of 710 is 357,911,000.
Using a Calculator
To find the cube of 710 using a calculator, input the number 710 and use the cube function (if available) or multiply 710 × 710 × 710. This operation calculates the value of 710³, resulting in 357,911,000. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Press 7 followed by 1 and 0
Step 3: If the calculator has a cube function, press it to calculate 710³.
Step 4: If there is no cube function on the calculator, simply multiply 710 three times manually.
Step 5: The calculator will display 357,911,000.
Tips and Tricks for the Cube of 710
- 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 710
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, 710 × 710 and not 710 × 710 × 710. Always remember that 710³ = 710 × 710 × 710.
Solved Examples on Cube of 710
Problem 1
What is the cube and cube root of 710?
The cube of 710 is 357,911,000 and the cube root of 710 is approximately 8.897.
Explanation
First, let’s find the cube of 710.
We know that the cube of a number is x³ = y Where x is the given number, and y is the cubed value of that number.
So, we get 710³ = 357,911,000.
Next, we must find the cube root of 710. We know that the cube root of a number ‘x’ is such that √x = y Where ‘x’ is the given number, and y is the cube root value of the number.
So, we get √710 ≈ 8.897.
Hence the cube of 710 is 357,911,000 and the cube root of 710 is approximately 8.897.
Problem 2
If the side length of the cube is 710 cm, what is the volume?
The volume is 357,911,000 cm³.
Explanation
Use the volume formula for a cube V = Side³.
Substitute 710 for the side length: V = 710³ = 357,911,000 cm³.
Problem 3
How much larger is 710³ than 600³?
710³ – 600³ = 185,511,000.
Explanation
First, find the cube of 710³, which is 357,911,000.
Next, find the cube of 600³, which is 216,000,000.
Now, find the difference between them using the subtraction method. 357,911,000 – 216,000,000 = 141,911,000.
Therefore, 710³ is 141,911,000 larger than 600³.
Problem 4
If a cube with a side length of 710 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 710 cm is 357,911,000 cm³.
Explanation
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 710 means multiplying 710 by itself three times: 710 × 710 = 504,100, and then 504,100 × 710 = 357,911,000.
The unit of volume is cubic centimeters (cm³) because we are calculating the space inside the cube.
Therefore, the volume of the cube is 357,911,000 cm³.
Problem 5
Estimate the cube of 709.9 using the cube of 710.
The cube of 709.9 is approximately 357,911,000.
Explanation
First, identify the cube of 710.
The cube of 710 is 710³ = 357,911,000.
Since 709.9 is only a tiny bit less than 710, the cube of 709.9 will be almost the same as the cube of 710.
The cube of 709.9 is approximately 357,911,000 because the difference between 709.9 and 710 is very small.
So, we can approximate the value as 357,911,000.
FAQs on Cube of 710
1.What are the perfect cubes up to 710?
2.How do you calculate 710³?
3.What is the meaning of 710³?
4.What is the cube root of 710?
5.Is 710 a perfect cube?
6.How does learning Algebra help students in Australia make better decisions in daily life?
7.How can cultural or local activities in Australia support learning Algebra topics such as Cube of 710?
8.How do technology and digital tools in Australia support learning Algebra and Cube of 710?
9.Does learning Algebra support future career opportunities for students in Australia?
Important Glossaries for Cube of 710
- 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 8.
- Volume: The amount of space occupied by an object, often calculated as a cube’s side length cubed (Side³).
- Perfect Cube: A number that can be expressed as the cube of an integer.
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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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