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 cubes of 798.
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 798 can be written as 798³, which is the exponential form. Or it can also be written in arithmetic form as, 798 × 798 × 798.
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. 798³ = 798 × 798 × 798
Step 2: You get 508,373,352 as the answer. Hence, the cube of 798 is 508,373,352.
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 798 into two parts, as and . Let a = 700 and b = 98, so a + b = 798
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term
a³ = 700³
3a²b = 3 × 700² × 98
3ab² = 3 × 700 × 98²
b³ = 98³
Step 4: Add all the terms together:
(a + b)³ = a³ + 3a²b + 3ab² + b³
(700 + 98)³ = 700³ + 3 × 700² × 98 + 3 × 700 × 98² + 98³
798³ = 343,000,000 + 144,060,000 + 20,402,400 + 941,952
798³ = 508,373,352
Step 5: Hence, the cube of 798 is 508,373,352.
To find the cube of 798 using a calculator, input the number 798 and use the cube function (if available) or multiply 798 × 798 × 798. This operation calculates the value of 798³, resulting in 508,373,352. 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 8
Step 3: If the calculator has a cube function, press it to calculate 798³.
Step 4: If there is no cube function on the calculator, simply multiply 798 three times manually.
Step 5: The calculator will display 508,373,352.
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 798?
The cube of 798 is 508,373,352 and the cube root of 798 is approximately 9.283.
First, let’s find the cube of 798.
We know that 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 798³ = 508,373,352
Next, we must find the cube root of 798 We know that 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 ∛798 ≈ 9.283
Hence the cube of 798 is 508,373,352 and the cube root of 798 is approximately 9.283.
If the side length of the cube is 798 cm, what is the volume?
The volume is 508,373,352 cm³.
Use the volume formula for a cube V = Side³.
Substitute 798 for the side length: V = 798³ = 508,373,352 cm³.
How much larger is 798³ than 700³?
798³ – 700³ = 165,373,352.
First find the cube of 798, that is 508,373,352
Next, find the cube of 700, which is 343,000,000
Now, find the difference between them using the subtraction method. 508,373,352 – 343,000,000 = 165,373,352
Therefore, the 798³ is 165,373,352 larger than 700³.
If a cube with a side length of 798 cm is compared to a cube with a side length of 500 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 798 cm is 508,373,352 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 798 means multiplying 798 by itself three times: 798 × 798 = 636,804, and then 636,804 × 798 = 508,373,352.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 508,373,352 cm³.
Estimate the cube 797.9 using the cube 798.
The cube of 797.9 is approximately 508,373,352.
First, identify the cube of 798, The cube of 798 is 798³ = 508,373,352.
Since 797.9 is only a tiny bit less than 798, the cube of 797.9 will be almost the same as the cube of 798.
The cube of 797.9 is approximately 508,373,352 because the difference between 797.9 and 798 is very small.
So, we can approximate the value as 508,373,352.
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.