Last updated on June 7th, 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 the cube of 792.
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 792 can be written as 792³, which is the exponential form. Or it can also be written in arithmetic form as 792 × 792 × 792.
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 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 numbers 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. 792³ = 792 × 792 × 792
Step 2: You get 497,871,168 as the answer. Hence, the cube of 792 is 497,871,168.
The binomial formula for finding the cube of a number is (a + b)³. The formula is expanded as a³ + 3a²b + 3ab² + b³.
Step 1: Split the number 792 into two parts, such as 700 and 92. Let a = 700 and b = 92, so a + b = 792
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term
a³ = 700³
3a²b = 3 × 700² × 92
3ab² = 3 × 700 × 92²
b³ = 92³
Step 4: Add all the terms together:
(a + b)³ = a³ + 3a²b + 3ab² + b³
(700 + 92)³ = 700³ + 3 × 700² × 92 + 3 × 700 × 92² + 92³
792³ = 343,000,000 + 135,240,000 + 17,462,400 + 778,688
792³ = 497,871,168
Step 5: Hence, the cube of 792 is 497,871,168.
To find the cube of 792 using a calculator, input the number 792 and use the cube function (if available) or multiply 792 × 792 × 792. This operation calculates the value of 792³, resulting in 497,871,168. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Input 792
Step 3: If the calculator has a cube function, press it to calculate 792³.
Step 4: If there is no cube function on the calculator, simply multiply 792 three times manually.
Step 5: The calculator will display 497,871,168.
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 792?
The cube of 792 is 497,871,168 and the cube root of 792 is approximately 9.283.
First, let’s find the cube of 792.
We know that the cube of a number is given by x³ = y, where x is the given number, and y is the cubed value of that number.
So, we get 792³ = 497,871,168.
Next, we must find the cube root of 792.
We know that the cube root of a number ‘x’, such that √³x = y, where ‘x’ is the given number, and y is the cube root value of the number.
So, we get √³792 ≈ 9.283.
Hence, the cube of 792 is 497,871,168 and the cube root of 792 is approximately 9.283.
If the side length of the cube is 792 cm, what is the volume?
The volume is 497,871,168 cm³.
Use the volume formula for a cube V = Side³.
Substitute 792 for the side length: V = 792³ = 497,871,168 cm³.
How much larger is 792³ than 400³?
792³ – 400³ = 497,471,168.
First find the cube of 792, that is 497,871,168.
Next, find the cube of 400, which is 64,000,000.
Now, find the difference between them using the subtraction method. 497,871,168 – 64,000,000 = 433,871,168.
Therefore, the 792³ is 433,871,168 larger than 400³.
If a cube with a side length of 792 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 792 cm is 497,871,168 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 792 means multiplying 792 by itself three times: 792 × 792 = 627,264, and then 627,264 × 792 = 497,871,168.
The unit of volume is cubic centimeters (cm³) because we are calculating the space inside the cube.
Therefore, the volume of the cube is 497,871,168 cm³.
Estimate the cube of 791.9 using the cube of 792.
The cube of 791.9 is approximately 497,871,168.
First, identify the cube of 792.
The cube of 792 is 792³ = 497,871,168.
Since 791.9 is only a tiny bit less than 792, the cube of 791.9 will be almost the same as the cube of 792.
The cube of 791.9 is approximately 497,871,168 because the difference between 791.9 and 792 is very small.
So, we can approximate the value as 497,871,168.
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.