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 in comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about cubes of 728.
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 728 can be written as 728³, which is the exponential form. Or it can also be written in arithmetic form as, 728 × 728 × 728.
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 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. 728³ = 728 × 728 × 728
Step 2: You get 385,800,832 as the answer. Hence, the cube of 728 is 385,800,832.
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 728 into two parts. Let a = 700 and b = 28, so a + b = 728
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term
a³ = 700³
3a²b = 3 × 700² × 28
3ab² = 3 × 700 × 28²
b³ = 28³
Step 4: Add all the terms together:
(a + b)³ = a³ + 3a²b + 3ab² + b³
(700 + 28)³ = 700³ + 3 × 700² × 28 + 3 × 700 × 28² + 28³
728³ = 343,000,000 + 41,160,000 + 16,464,000 + 21,952
728³ = 385,800,832
Step 5: Hence, the cube of 728 is 385,800,832.
To find the cube of 728 using a calculator, input the number 728 and use the cube function (if available) or multiply 728 × 728 × 728. This operation calculates the value of 728³, resulting in 385,800,832. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Enter 728
Step 3: If the calculator has a cube function, press it to calculate 728³.
Step 4: If there is no cube function on the calculator, simply multiply 728 three times manually.
Step 5: The calculator will display 385,800,832.
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 728?
The cube of 728 is 385,800,832 and the cube root of 728 is approximately 8.945.
First, let’s find the cube of 728.
We know that 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 728³ = 385,800,832
Next, we must find the cube root of 728 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 ∛728 ≈ 8.945
Hence the cube of 728 is 385,800,832 and the cube root of 728 is approximately 8.945.
If the side length of the cube is 728 cm, what is the volume?
The volume is 385,800,832 cm³.
Use the volume formula for a cube V = Side³.
Substitute 728 for the side length: V = 728³ = 385,800,832 cm³.
How much larger is 728³ than 530³?
728³ – 530³ = 286,678,672.
First, find the cube of 728, which is 385,800,832
Next, find the cube of 530, which is 99,122,160
Now, find the difference between them using the subtraction method.
385,800,832 – 99,122,160 = 286,678,672
Therefore, the 728³ is 286,678,672 larger than 530³.
If a cube with a side length of 728 cm is compared to a cube with a side length of 128 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 728 cm is 385,800,832 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 728 means multiplying 728 by itself three times: 728 × 728 = 529,984, and then 529,984 × 728 = 385,800,832.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 385,800,832 cm³.
Estimate the cube of 727 using the cube of 728.
The cube of 727 is approximately 384,261,273.
First, identify the cube of 728, The cube of 728 is 728³ = 385,800,832.
Since 727 is only a tiny bit less than 728, the cube of 727 will be almost the same as the cube of 728.
The cube of 727 is slightly less than the cube of 728 due to the small difference.
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.