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 when comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about the cube of 791.
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 multiplying a negative number by itself three times results in a negative number.
The cube of 791 can be written as 791³, which is the exponential form. Or it can also be written in arithmetic form as, 791 × 791 × 791.
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 to cube 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. 791³ = 791 × 791 × 791
Step 2: You get 494,140,791 as the answer. Hence, the cube of 791 is 494,140,791.
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 791 into two parts, as 700 and 91. Let a = 700 and b = 91, so a + b = 791
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term
a³ = 700³
3a²b = 3 × 700² × 91
3ab² = 3 × 700 × 91²
b³ = 91³
Step 4: Add all the terms together:
(a + b)³ = a³ + 3a²b + 3ab² + b³
(700 + 91)³ = 700³ + 3 × 700² × 91 + 3 × 700 × 91² + 91³
791³ = 343,000,000 + 134,610,000 + 17,181,000 + 753,571
791³ = 494,140,791
Step 5: Hence, the cube of 791 is 494,140,791.
To find the cube of 791 using a calculator, input the number 791 and use the cube function (if available) or multiply 791 × 791 × 791. This operation calculates the value of 791³, resulting in 494,140,791. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Press 7, 9, and 1.
Step 3: If the calculator has a cube function, press it to calculate 791³.
Step 4: If there is no cube function on the calculator, simply multiply 791 three times manually.
Step 5: The calculator will display 494,140,791.
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 791?
The cube of 791 is 494,140,791 and the cube root of 791 is approximately 9.247.
First, let’s find the cube of 791.
We know that the cube of a number is such that x³ = y, where x is the given number, and y is the cubed value of that number.
So, we get 791³ = 494,140,791.
Next, we must find the cube root of 791.
We know that the cube root of a number x is such that ³√x = y, where x is the given number, and y is the cube root value of the number.
So, we get ³√791 ≈ 9.247.
Hence, the cube of 791 is 494,140,791 and the cube root of 791 is approximately 9.247.
If the side length of a cube is 791 cm, what is the volume?
The volume is 494,140,791 cm³.
Use the volume formula for a cube: V = Side³.
Substitute 791 for the side length: V = 791³ = 494,140,791 cm³.
How much larger is 791³ than 700³?
791³ – 700³ = 151,140,791.
First, find the cube of 791, which is 494,140,791.
Next, find the cube of 700, which is 343,000,000.
Now, find the difference between them using the subtraction method. 494,140,791 – 343,000,000 = 151,140,791.
Therefore, 791³ is 151,140,791 larger than 700³.
If a cube with a side length of 791 cm is compared to a cube with a side length of 91 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 791 cm is 494,140,791 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 791 means multiplying 791 by itself three times: 791 × 791 = 625,681, and then 625,681 × 791 = 494,140,791.
The unit of volume is cubic centimeters (cm³) because we are calculating the space inside the cube.
Therefore, the volume of the cube is 494,140,791 cm³.
Estimate the cube of 790 using the cube of 791.
The cube of 790 is approximately 494,140,791.
First, identify the cube of 791.
The cube of 791 is 791³ = 494,140,791.
Since 790 is very close to 791, the cube of 790 will be almost the same as the cube of 791.
The cube of 790 is approximately 494,140,791 because the difference between 790 and 791 is very small.
So, we can approximate the value as 494,140,791.
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.