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 752.
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 752 can be written as 752³, which is the exponential form. Or it can also be written in arithmetic form as, 752 × 752 × 752.
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. 752³ = 752 × 752 × 752
Step 2: You get 425,084,928 as the answer. Hence, the cube of 752 is 425,084,928.
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 752 into two parts. Let a = 700 and b = 52, so a + b = 752
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term
a³= 700³
3a²b = 3 × 700² × 52
3ab² = 3 × 700 × 52²
b³ = 52³
Step 4: Add all the terms together:
(a + b)³ = a³ + 3a²b + 3ab² + b³
(700 + 52)³ = 700³ + 3 × 700² × 52 + 3 × 700 × 52² + 52³
752³ = 343,000,000 + 76,440,000 + 5,712,000 + 140,608
752³ = 425,084,928
Step 5: Hence, the cube of 752 is 425,084,928.
To find the cube of 752 using a calculator, input the number 752 and use the cube function (if available) or multiply 752 × 752 × 752. This operation calculates the value of 752³, resulting in 425,084,928. 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 2
Step 3: If the calculator has a cube function, press it to calculate 752³.
Step 4: If there is no cube function on the calculator, simply multiply 752 three times manually.
Step 5: The calculator will display 425,084,928.
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 752?
The cube of 752 is 425,084,928 and the cube root of 752 is approximately 9.056.
First, let’s find the cube of 752.
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 752³ = 425,084,928
Next, we must find the cube root of 752 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 ∛752 ≈ 9.056
Hence the cube of 752 is 425,084,928 and the cube root of 752 is approximately 9.056.
If the side length of the cube is 752 cm, what is the volume?
The volume is 425,084,928 cm³.
Use the volume formula for a cube V= Side³.
Substitute 752 for the side length: V = 752³ = 425,084,928 cm³.
How much larger is 752³ than 650³?
752³ – 650³ = 203,684,928.
First find the cube of 752, that is 425,084,928
Next, find the cube of 650, which is 221,400,000
Now, find the difference between them using the subtraction method.
425,084,928 – 221,400,000 = 203,684,928
Therefore, 752³ is 203,684,928 larger than 650³.
If a cube with a side length of 752 cm is compared to a cube with a side length of 300 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 752 cm is 425,084,928 cm³
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 752 means multiplying 752 by itself three times: 752 × 752 = 565,504, and then 565,504 × 752 = 425,084,928.
The unit of volume is cubic centimeters (cm³) because we are calculating the space inside the cube.
Therefore, the volume of the cube is 425,084,928 cm³.
Estimate the cube of 751.5 using the cube of 752.
The cube of 751.5 is approximately 425,084,928.
First, identify the cube of 752, The cube of 752 is 752³ = 425,084,928.
Since 751.5 is only a tiny bit less than 752, the cube of 751.5 will be almost the same as the cube of 752.
The cube of 751.5 is approximately 425,084,928 because the difference between 751.5 and 752 is very small.
So, we can approximate the value as 425,084,928.
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.