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 773.
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 773 can be written as 773³, which is the exponential form. Or it can also be written in arithmetic form as 773 × 773 × 773.
In order to check whether a number is a cube number or not, we can use the following three methods, such as the 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. 773³ = 773 × 773 × 773
Step 2: You get 461,880,517 as the answer. Hence, the cube of 773 is 461,880,517.
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 773 into two parts. Let a = 770 and b = 3, so a + b = 773
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term
a³ = 770³
3a²b = 3 × 770² × 3
3ab² = 3 × 770 × 3²
b³ = 3³
Step 4: Add all the terms together:
(a + b)³ = a³ + 3a²b + 3ab² + b³
(770 + 3)³ = 770³ + 3 × 770² × 3 + 3 × 770 × 3² + 3³
773³ = 456,533,000 + 5,348,100 + 20,790 + 27
773³ = 461,880,517
Step 5: Hence, the cube of 773 is 461,880,517.
To find the cube of 773 using a calculator, input the number 773 and use the cube function (if available) or multiply 773 × 773 × 773. This operation calculates the value of 773³, resulting in 461,880,517. 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 7, and 3
Step 3: If the calculator has a cube function, press it to calculate 773³.
Step 4: If there is no cube function on the calculator, simply multiply 773 three times manually.
Step 5: The calculator will display 461,880,517.
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 773?
The cube of 773 is 461,880,517 and the cube root of 773 is approximately 9.2125.
First, let’s find the cube of 773.
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 773³ = 461,880,517
Next, we must find the cube root of 773 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 ∛773 ≈ 9.2125
Hence the cube of 773 is 461,880,517 and the cube root of 773 is approximately 9.2125.
If the side length of the cube is 773 cm, what is the volume?
The volume is 461,880,517 cm³.
Use the volume formula for a cube V = Side³.
Substitute 773 for the side length: V = 773³ = 461,880,517 cm³.
How much larger is 773³ than 770³?
773³ – 770³ = 5,347,517.
First find the cube of 773, which is 461,880,517
Next, find the cube of 770, which is 456,533,000
Now, find the difference between them using the subtraction method. 461,880,517 – 456,533,000 = 5,347,517
Therefore, 773³ is 5,347,517 larger than 770³.
If a cube with a side length of 773 cm is compared to a cube with a side length of 3 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 773 cm is 461,880,517 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 773 means multiplying 773 by itself three times: 773 × 773 = 597,529, and then 597,529 × 773 = 461,880,517.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 461,880,517 cm³.
Estimate the cube of 772.9 using the cube of 773.
The cube of 772.9 is approximately 461,880,517.
First, identify the cube of 773, The cube of 773 is 773³ = 461,880,517.
Since 772.9 is only a tiny bit less than 773, the cube of 772.9 will be almost the same as the cube of 773.
The cube of 772.9 is approximately 461,880,517 because the difference between 772.9 and 773 is very small.
So, we can approximate the value as 461,880,517.
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.