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 the cube of 780.
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 780 can be written as 780³, which is the exponential form. Or it can also be written in arithmetic form as 780 × 780 × 780.
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 individuals 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. 780³ = 780 × 780 × 780
Step 2: You get 474,583,200 as the answer. Hence, the cube of 780 is 474,583,200.
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 780 into two parts, as 700 and 80. Let a = 700 and b = 80, so a + b = 780
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term
a³ = 700³
3a²b = 3 × 700² × 80
3ab² = 3 × 700 × 80²
b³ = 80³
Step 4: Add all the terms together:
(a + b)³ = a³ + 3a²b + 3ab² + b³
(700 + 80)³ = 700³ + 3 × 700² × 80 + 3 × 700 × 80² + 80³
780³ = 343,000,000 + 117,600,000 + 13,440,000 + 512,000
780³ = 474,583,200
Step 5: Hence, the cube of 780 is 474,583,200.
To find the cube of 780 using a calculator, input the number 780 and use the cube function (if available) or multiply 780 × 780 × 780. This operation calculates the value of 780³, resulting in 474,583,200. 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 8 and 0
Step 3: If the calculator has a cube function, press it to calculate 780³.
Step 4: If there is no cube function on the calculator, simply multiply 780 three times manually.
Step 5: The calculator will display 474,583,200.
There are some typical errors that individuals might make during the process of cubing a number. Let us take a look at five of the major mistakes that might occur:
What is the cube and cube root of 780?
The cube of 780 is 474,583,200, and the cube root of 780 is approximately 9.210.
First, let’s find the cube of 780.
We know that the 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 780³ = 474,583,200.
Next, we must find the cube root of 780. We know that the 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 ∛780 ≈ 9.210.
Hence the cube of 780 is 474,583,200, and the cube root of 780 is approximately 9.210.
If the side length of the cube is 780 cm, what is the volume?
The volume is 474,583,200 cm³.
Use the volume formula for a cube V = Side³.
Substitute 780 for the side length: V = 780³ = 474,583,200 cm³.
How much larger is 780³ than 700³?
780³ – 700³ = 131,583,200.
First find the cube of 780³, that is 474,583,200.
Next, find the cube of 700³, which is 343,000,000.
Now, find the difference between them using the subtraction method. 474,583,200 – 343,000,000 = 131,583,200.
Therefore, 780³ is 131,583,200 larger than 700³.
If a cube with a side length of 780 cm is compared to a cube with a side length of 80 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 780 cm is 474,583,200 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 780 means multiplying 780 by itself three times: 780 × 780 = 608,400, and then 608,400 × 780 = 474,583,200.
The unit of volume is cubic centimeters (cm³) because we are calculating the space inside the cube.
Therefore, the volume of the cube is 474,583,200 cm³.
Estimate the cube 779 using the cube 780.
The cube of 779 is approximately 474,583,200.
First, identify the cube of 780.
The cube of 780 is 780³ = 474,583,200.
Since 779 is only a tiny bit less than 780, the cube of 779 will be almost the same as the cube of 780.
The cube of 779 is approximately 474,583,200 because the difference between 779 and 780 is very small.
So, we can approximate the value as 474,583,200.
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.