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 while comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about the cube of 797.
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 797 can be written as 797³, which is the exponential form. Or it can also be written in arithmetic form as, 797 × 797 × 797.
In order to check whether a number is a cube number or not, we can use the following three methods, such as 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. 797³ = 797 × 797 × 797
Step 2: You get 506,359,273 as the answer. Hence, the cube of 797 is 506,359,273.
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 797 into two parts. Let a = 700 and b = 97, so a + b = 797
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term
a³ = 700³
3a²b = 3 × 700² × 97
3ab² = 3 × 700 × 97²
b³ = 97³
Step 4: Add all the terms together:
(a + b)³ = a³ + 3a²b + 3ab² + b³
(700 + 97)³ = 700³ + 3 × 700² × 97 + 3 × 700 × 97² + 97³
797³ = 343,000,000 + 142,590,000 + 19,635,300 + 912,673
797³ = 506,359,273
Step 5: Hence, the cube of 797 is 506,359,273.
To find the cube of 797 using a calculator, input the number 797 and use the cube function (if available) or multiply 797 × 797 × 797. This operation calculates the value of 797³, resulting in 506,359,273. 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 9 and 7
Step 3: If the calculator has a cube function, press it to calculate 797³.
Step 4: If there is no cube function on the calculator, simply multiply 797 three times manually.
Step 5: The calculator will display 506,359,273.
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 797?
The cube of 797 is 506,359,273 and the cube root of 797 is approximately 9.283.
First, let’s find the cube of 797.
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 797³ = 506,359,273.
Next, we must find the cube root of 797.
We know that the cube root of a number x is ∛x = y, where x is the given number, and y is the cube root value of the number. So, we get ∛797 ≈ 9.283.
Hence, the cube of 797 is 506,359,273 and the cube root of 797 is approximately 9.283.
If the side length of the cube is 797 cm, what is the volume?
The volume is 506,359,273 cm³.
Use the volume formula for a cube V = Side³.
Substitute 797 for the side length: V = 797³ = 506,359,273 cm³.
How much larger is 797³ than 500³?
797³ – 500³ = 406,359,273.
First, find the cube of 797, which is 506,359,273.
Next, find the cube of 500, which is 125,000,000.
Now, find the difference between them using the subtraction method. 506,359,273 – 125,000,000 = 381,359,273.
Therefore, 797³ is 381,359,273 larger than 500³.
If a cube with a side length of 797 cm is compared to a cube with a side length of 10 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 797 cm is 506,359,273 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 797 means multiplying 797 by itself three times: 797 × 797 × 797 = 506,359,273.
The unit of volume is cubic centimeters (cm³) because we are calculating the space inside the cube.
Therefore, the volume of the cube is 506,359,273 cm³.
Estimate the cube of 796 using the cube of 797.
The cube of 796 is approximately 506,359,273.
First, identify the cube of 797, The cube of 797 is 797³ = 506,359,273.
Since 796 is only a tiny bit less than 797, the cube of 796 will be almost the same as the cube of 797.
The cube of 796 is approximately 506,359,273 because the difference between 796 and 797 is very small.
So, we can approximate the value as 506,359,273.
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.