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 in comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about cubes of 697.
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 697 can be written as 697³, which is the exponential form. Or it can also be written in arithmetic form as, 697 × 697 × 697.
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. 697³ = 697 × 697 × 697
Step 2: You get 338,985,073 as the answer. Hence, the cube of 697 is 338,985,073.
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 697 into two parts. Let a = 700 and b = -3, so a + b = 697
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term
a³ = 700³
3a²b = 3 × 700² × (-3)
3ab² = 3 × 700 × (-3)²
b³ = (-3)³
Step 4: Add all the terms together:
(a + b)³ = a³ + 3a²b + 3ab² + b³
(700 - 3)³ = 700³ + 3 × 700² × (-3) + 3 × 700 × 9 + (-27)
697³ = 343,000,000 - 4,410,000 + 18,900 - 27
697³ = 338,985,073
Step 5: Hence, the cube of 697 is 338,985,073.
To find the cube of 697 using a calculator, input the number 697 and use the cube function (if available) or multiply 697 × 697 × 697. This operation calculates the value of 697³, resulting in 338,985,073. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Press 6 followed by 9 and 7.
Step 3: If the calculator has a cube function, press it to calculate 697³.
Step 4: If there is no cube function on the calculator, simply multiply 697 three times manually.
Step 5: The calculator will display 338,985,073.
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 697?
The cube of 697 is 338,985,073 and the cube root of 697 is approximately 8.843.
First, let’s find the cube of 697.
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 697³ = 338,985,073
Next, we must find the cube root of 697.
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 ∛697 ≈ 8.843
Hence the cube of 697 is 338,985,073 and the cube root of 697 is approximately 8.843.
If the side length of a cube is 697 cm, what is the volume?
The volume is 338,985,073 cm³.
Use the volume formula for a cube V = Side³.
Substitute 697 for the side length: V = 697³ = 338,985,073 cm³.
How much larger is 697³ than 487³?
697³ - 487³ = 293,949,016.
First find the cube of 697, that is 338,985,073.
Next, find the cube of 487, which is 45,036,057.
Now, find the difference between them using the subtraction method.
338,985,073 - 45,036,057 = 293,949,016.
Therefore, 697³ is 293,949,016 larger than 487³.
If a cube with a side length of 697 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 697 cm is 338,985,073 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 697 means multiplying 697 by itself three times: 697 × 697 = 485,809, and then 485,809 × 697 = 338,985,073.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 338,985,073 cm³.
Estimate the cube of 696.9 using the cube of 697.
The cube of 696.9 is approximately 338,985,073.
First, identify the cube of 697. The cube of 697 is 697³ = 338,985,073.
Since 696.9 is only a tiny bit less than 697, the cube of 696.9 will be almost the same as the cube of 697.
The cube of 696.9 is approximately 338,985,073 because the difference between 696.9 and 697 is very small.
So, we can approximate the value as 338,985,073.
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.