Last updated on June 5th, 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 764.
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 764 can be written as 764³, which is the exponential form. Or it can also be written in arithmetic form as, 764 × 764 × 764.
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 individuals 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. 764³ = 764 × 764 × 764
Step 2: You get 445,635,344 as the answer. Hence, the cube of 764 is 445,635,344.
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 764 into two parts. Let a = 700 and b = 64, so a + b = 764
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 700³ 3a²b = 3 × 700² × 64 3ab² = 3 × 700 × 64² b³ = 64³
Step 4: Add all the terms together:
(a + b)³ = a³ + 3a²b + 3ab² + b³
(700 + 64)³ = 700³ + 3 × 700² × 64 + 3 × 700 × 64² + 64³
764³ = 343,000,000 + 86,016,000 + 8,601,600 + 262,144
764³ = 445,635,344
Step 5: Hence, the cube of 764 is 445,635,344.
To find the cube of 764 using a calculator, input the number 764 and use the cube function (if available) or multiply 764 × 764 × 764. This operation calculates the value of 764³, resulting in 445,635,344. 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 6 and then 4
Step 3: If the calculator has a cube function, press it to calculate 764³.
Step 4: If there is no cube function on the calculator, simply multiply 764 three times manually.
Step 5: The calculator will display 445,635,344.
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 individuals might make:
What is the cube and cube root of 764?
The cube of 764 is 445,635,344 and the cube root of 764 is approximately 9.206.
First, let’s find the cube of 764.
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 764³ = 445,635,344.
Next, we must find the cube root of 764. 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 ∛764 ≈ 9.206.
Hence, the cube of 764 is 445,635,344 and the cube root of 764 is approximately 9.206.
If the side length of the cube is 764 cm, what is the volume?
The volume is 445,635,344 cm³.
Use the volume formula for a cube V = Side³.
Substitute 764 for the side length: V = 764³ = 445,635,344 cm³.
How much larger is 764³ than 700³?
764³ – 700³ = 102,635,344.
First, find the cube of 764³, that is 445,635,344.
Next, find the cube of 700³, which is 343,000,000.
Now, find the difference between them using the subtraction method. 445,635,344 – 343,000,000 = 102,635,344.
Therefore, 764³ is 102,635,344 larger than 700³.
If a cube with a side length of 764 cm is compared to a cube with a side length of 100 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 764 cm is 445,635,344 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 764 means multiplying 764 by itself three times: 764 × 764 = 583,696, and then 583,696 × 764 = 445,635,344.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 445,635,344 cm³.
Estimate the cube 763.9 using the cube 764.
The cube of 763.9 is approximately 445,635,344.
First, identify the cube of 764.
The cube of 764 is 764³ = 445,635,344.
Since 763.9 is only a tiny bit less than 764, the cube of 763.9 will be almost the same as the cube of 764.
The cube of 763.9 is approximately 445,635,344 because the difference between 763.9 and 764 is very small.
So, we can approximate the value as 445,635,344.
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.