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 when comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about cubes of 753.
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 753 can be written as 753³, which is the exponential form. Or it can also be written in arithmetic form as, 753 × 753 × 753.
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 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. 753³ = 753 × 753 × 753
Step 2: You get 427,992,177 as the answer. Hence, the cube of 753 is 427,992,177.
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 753 into two parts, as 700 and 53. Let a = 700 and b = 53, so a + b = 753
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term
a³ = 700³
3a²b = 3 × 700² × 53
3ab² = 3 × 700 × 53²
b³ = 53³
Step 4: Add all the terms together:
(a + b)³ = a³ + 3a²b + 3ab² + b³
(700 + 53)³ = 700³ + 3 × 700² × 53 + 3 × 700 × 53² + 53³
753³ = 343,000,000 + 78,330,000 + 5,884,200 + 148,877
753³ = 427,992,177
Step 5: Hence, the cube of 753 is 427,992,177.
To find the cube of 753 using a calculator, input the number 753 and use the cube function (if available) or multiply 753 × 753 × 753. This operation calculates the value of 753³, resulting in 427,992,177. 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 5 and 3
Step 3: If the calculator has a cube function, press it to calculate 753³.
Step 4: If there is no cube function on the calculator, simply multiply 753 three times manually.
Step 5: The calculator will display 427,992,177.
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 753?
The cube of 753 is 427,992,177, and the cube root of 753 is approximately 9.086.
First, let’s find the cube of 753.
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 753³ = 427,992,177
Next, we must find the cube root of 753 We know that cube root of a number ‘x’, such that ³√x = y Where ‘x’ is the given number, and y is the cube root value of the number
So, we get ³√753 ≈ 9.086
Hence the cube of 753 is 427,992,177 and the cube root of 753 is approximately 9.086.
If the side length of the cube is 753 cm, what is the volume?
The volume is 427,992,177 cm³.
Use the volume formula for a cube V = Side³.
Substitute 753 for the side length: V = 753³ = 427,992,177 cm³.
How much larger is 753³ than 403³?
753³ – 403³ = 418,992,177.
First, find the cube of 753, that is 427,992,177
Next, find the cube of 403, which is 9,000,000
Now, find the difference between them using the subtraction method. 427,992,177 – 9,000,000 = 418,992,177
Therefore, the 753³ is 418,992,177 larger than 403³.
If a cube with a side length of 753 cm is compared to a cube with a side length of 253 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 753 cm is 427,992,177 cm³
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 753 means multiplying 753 by itself three times: 753 × 753 = 567,009, and then 567,009 × 753 = 427,992,177.
The unit of volume is cubic centimeters (cm³) because we are calculating the space inside the cube.
Therefore, the volume of the cube is 427,992,177 cm³.
Estimate the cube 752 using the cube 753.
The cube of 752 is approximately 427,992,177.
First, identify the cube of 753, The cube of 753 is 753³ = 427,992,177.
Since 752 is only a tiny bit less than 753, the cube of 752 will be almost the same as the cube of 753.
The cube of 752 is approximately 427,992,177 because the difference between 752 and 753 is very small.
So, we can approximate the value as 427,992,177.
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.