Last updated on June 6th, 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 cubes of 779.
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 779 can be written as 779³, which is the exponential form. Or it can also be written in arithmetic form as, 779 × 779 × 779.
To determine 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 students 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. 779³ = 779 × 779 × 779
Step 2: You get 473,551,339 as the answer. Hence, the cube of 779 is 473,551,339.
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 779 into two parts, as 700 and 79. Let a = 700 and b = 79, so a + b = 779
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term
a³ = 700³
3a²b = 3 × 700² × 79
3ab² = 3 × 700 × 79²
b³ = 79³
Step 4: Add all the terms together:
(a + b)³ = a³ + 3a²b + 3ab² + b³
(700 + 79)³ = 700³ + 3 × 700² × 79 + 3 × 700 × 79² + 79³
779³ = (343,000,000) + (116,430,000) + (131,079,000) + (493,039)
779³ = 473,551,339
Step 5: Hence, the cube of 779 is 473,551,339.
To find the cube of 779 using a calculator, input the number 779 and use the cube function (if available) or multiply 779 × 779 × 779. This operation calculates the value of 779³, resulting in 473,551,339. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Enter 779
Step 3: If the calculator has a cube function, press it to calculate 779³.
Step 4: If there is no cube function on the calculator, simply multiply 779 three times manually.
Step 5: The calculator will display 473,551,339.
There are some typical errors that students might make during the process of cubing a number. Let us take a look at five of the major mistakes that students might make:
What is the cube and cube root of 779?
The cube of 779 is 473,551,339 and the cube root of 779 is approximately 9.200.
First, let’s find the cube of 779.
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 779³ = 473,551,339
Next, we must find the cube root of 779.
We know that the cube root of a number ‘x’ is given by ∛x = y Where ‘x’ is the given number, and y is the cube root value of the number.
So, we get ∛779 ≈ 9.200
Hence, the cube of 779 is 473,551,339 and the cube root of 779 is approximately 9.200.
If the side length of the cube is 779 cm, what is the volume?
The volume is 473,551,339 cm³.
Use the volume formula for a cube V = Side³.
Substitute 779 for the side length: V = 779³ = 473,551,339 cm³.
How much larger is 779³ than 700³?
779³ – 700³ = 130,551,339.
First, find the cube of 779³, which is 473,551,339.
Next, find the cube of 700³, which is 343,000,000.
Now, find the difference between them using the subtraction method.
473,551,339 – 343,000,000 = 130,551,339
Therefore, 779³ is 130,551,339 larger than 700³.
If a cube with a side length of 779 cm is compared to a cube with a side length of 79 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 779 cm is 473,551,339 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 779 means multiplying 779 by itself three times: 779 × 779 = 607,441, and then 607,441 × 779 = 473,551,339.
The unit of volume is cubic centimeters (cm³) because we are calculating the space inside the cube.
Therefore, the volume of the cube is 473,551,339 cm³.
Estimate the cube of 778.9 using the cube of 779.
The cube of 778.9 is approximately 473,551,339.
First, identify the cube of 779, The cube of 779 is 779³ = 473,551,339.
Since 778.9 is only a tiny bit less than 779, the cube of 778.9 will be almost the same as the cube of 779.
The cube of 778.9 is approximately 473,551,339 because the difference between 778.9 and 779 is very small.
So, we can approximate the value as 473,551,339.
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.