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 692.
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 692 can be written as 692³, which is the exponential form. Or it can also be written in arithmetic form as, 692 × 692 × 692.
In order to check whether a number is a cube number or not, we can use the following three methods: the 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. 692³ = 692 × 692 × 692
Step 2: You get 331,373,088 as the answer. Hence, the cube of 692 is 331,373,088.
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 692 into two parts. Let a = 690 and b = 2, so a + b = 692
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term
a³ = 690³
3a²b = 3 × 690² × 2
3ab² = 3 × 690 × 2²
b³ = 2³
Step 4: Add all the terms together:
(a + b)³ = a³ + 3a²b + 3ab² + b³
(690 + 2)³ = 690³ + 3 × 690² × 2 + 3 × 690 × 2² + 2³
692³ = 328,509,000 + 2,852,400 + 8,280 + 8
692³ = 331,373,088
Step 5: Hence, the cube of 692 is 331,373,088.
To find the cube of 692 using a calculator, input the number 692 and use the cube function (if available) or multiply 692 × 692 × 692. This operation calculates the value of 692³, resulting in 331,373,088. 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 then 2
Step 3: If the calculator has a cube function, press it to calculate 692³.
Step 4: If there is no cube function on the calculator, simply multiply 692 three times manually.
Step 5: The calculator will display 331,373,088.
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 692?
The cube of 692 is 331,373,088 and the cube root of 692 is approximately 8.844.
First, let’s find the cube of 692.
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 692³ = 331,373,088
Next, we must find the cube root of 692. 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 ∛692 ≈ 8.844
Hence, the cube of 692 is 331,373,088 and the cube root of 692 is approximately 8.844.
If the side length of the cube is 692 cm, what is the volume?
The volume is 331,373,088 cm³.
Use the volume formula for a cube V = Side³.
Substitute 692 for the side length: V = 692³ = 331,373,088 cm³.
How much larger is 692³ than 690³?
692³ – 690³ = 2,864,088.
First find the cube of 692³, that is 331,373,088
Next, find the cube of 690³, which is 328,509,000
Now, find the difference between them using the subtraction method. 331,373,088 – 328,509,000 = 2,864,088
Therefore, 692³ is 2,864,088 larger than 690³.
If a cube with a side length of 692 cm is compared to a cube with a side length of 2 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 692 cm is 331,373,088 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 692 means multiplying 692 by itself three times: 692 × 692 = 478,864, and then 478,864 × 692 = 331,373,088.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 331,373,088 cm³.
Estimate the cube 691.9 using the cube of 692.
The cube of 691.9 is approximately 331,373,088.
First, identify the cube of 692. The cube of 692 is 692³ = 331,373,088.
Since 691.9 is only a tiny bit less than 692, the cube of 691.9 will be almost the same as the cube of 692.
The cube of 691.9 is approximately 331,373,088 because the difference between 691.9 and 692 is very small.
So, we can approximate the value as 331,373,088.
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.