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 the cube of 707.
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 707 can be written as 707³, which is the exponential form. Or it can also be written in arithmetic form as, 707 × 707 × 707.
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.
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. 707³ = 707 × 707 × 707
Step 2: You get 353,171,893 as the answer. Hence, the cube of 707 is 353,171,893.
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 707 into two parts. Let a = 700 and b = 7, so a + b = 707
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 700³ 3a²b = 3 × 700² × 7 3ab² = 3 × 700 × 7² b³ = 7³
Step 4: Add all the terms together:
(a + b)³ = a³ + 3a²b + 3ab² + b³
(700 + 7)³ = 700³ + 3 × 700² × 7 + 3 × 700 × 7² + 7³
707³ = 343,000,000 + 102,900 + 10,290 + 343
707³ = 353,171,893
Step 5: Hence, the cube of 707 is 353,171,893.
To find the cube of 707 using a calculator, input the number 707 and use the cube function (if available) or multiply 707 × 707 × 707. This operation calculates the value of 707³, resulting in 353,171,893. 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 0 and 7
Step 3: If the calculator has a cube function, press it to calculate 707³.
Step 4: If there is no cube function on the calculator, simply multiply 707 three times manually.
Step 5: The calculator will display 353,171,893.
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 707?
The cube of 707 is 353,171,893 and the cube root of 707 is approximately 8.897.
First, let’s find the cube of 707.
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 707³ = 353,171,893
Next, we must find the cube root of 707 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 ∛707 ≈ 8.897
Hence the cube of 707 is 353,171,893 and the cube root of 707 is approximately 8.897.
If the side length of the cube is 707 cm, what is the volume?
The volume is 353,171,893 cm³.
Use the volume formula for a cube V = Side³.
Substitute 707 for the side length: V = 707³ = 353,171,893 cm³.
How much larger is 707³ than 607³?
707³ – 607³ = 214,144,193.
First, find the cube of 707³, which is 353,171,893
Next, find the cube of 607³, which is 139,027,700
Now, find the difference between them using the subtraction method. 353,171,893 – 139,027,700 = 214,144,193
Therefore, 707³ is 214,144,193 larger than 607³.
If a cube with a side length of 707 cm is compared to a cube with a side length of 107 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 707 cm is 353,171,893 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 707 means multiplying 707 by itself three times: 707 × 707 = 499,849, and then 499,849 × 707 = 353,171,893.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 353,171,893 cm³.
Estimate the cube 706.9 using the cube 707.
The cube of 706.9 is approximately 353,171,893.
First, identify the cube of 707, The cube of 707 is 707³ = 353,171,893.
Since 706.9 is only a tiny bit less than 707, the cube of 706.9 will be almost the same as the cube of 707.
The cube of 706.9 is approximately 353,171,893 because the difference between 706.9 and 707 is very small.
So, we can approximate the value as 353,171,893.
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.