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 the cube of 751.
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 751 can be written as 751³, which is the exponential form. Or it can also be written in arithmetic form as, 751 × 751 × 751.
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. 751³ = 751 × 751 × 751
Step 2: You get 424,482,751 as the answer. Hence, the cube of 751 is 424,482,751.
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 751 into two parts. Let a = 750 and b = 1, so a + b = 751
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term
a³ = 750³
3a²b = 3 × 750² × 1
3ab² = 3 × 750 × 1²
b³ = 1³
Step 4: Add all the terms together:
(a + b)³ = a³ + 3a²b + 3ab² + b³
(750 + 1)³ = 750³ + 3 × 750² × 1 + 3 × 750 × 1² + 1³
751³ = 421,875,000 + 1,687,500 + 2,250 + 1
751³ = 424,482,751
Step 5: Hence, the cube of 751 is 424,482,751.
To find the cube of 751 using a calculator, input the number 751 and use the cube function (if available) or multiply 751 × 751 × 751. This operation calculates the value of 751³, resulting in 424,482,751. 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 1
Step 3: If the calculator has a cube function, press it to calculate 751³.
Step 4: If there is no cube function on the calculator, simply multiply 751 three times manually.
Step 5: The calculator will display 424,482,751.
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 751?
The cube of 751 is 424,482,751 and the cube root of 751 is approximately 9.051.
First, let’s find the cube of 751.
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 751³ = 424,482,751
Next, we must find the cube root of 751 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 ∛751 ≈ 9.051
Hence the cube of 751 is 424,482,751 and the cube root of 751 is approximately 9.051.
If the side length of the cube is 751 cm, what is the volume?
The volume is 424,482,751 cm³.
Use the volume formula for a cube V = Side³.
Substitute 751 for the side length: V = 751³ = 424,482,751 cm³.
How much larger is 751³ than 750³?
751³ – 750³ = 2,607,751.
First find the cube of 751³, that is 424,482,751
Next, find the cube of 750³, which is 421,875,000
Now, find the difference between them using the subtraction method. 424,482,751 – 421,875,000 = 2,607,751
Therefore, the 751³ is 2,607,751 larger than 750³.
If a cube with a side length of 751 cm is compared to a cube with a side length of 1 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 751 cm is 424,482,751 cm³
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 751 means multiplying 751 by itself three times: 751 × 751 = 564,001, and then 564,001 × 751 = 424,482,751.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 424,482,751 cm³.
Estimate the cube 750.1 using the cube 751.
The cube of 750.1 is approximately 424,482,751.
First, identify the cube of 751, The cube of 751 is 751³ = 424,482,751.
Since 750.1 is only a tiny bit less than 751, the cube of 750.1 will be almost the same as the cube of 751.
The cube of 750.1 is approximately 424,482,751 because the difference between 750.1 and 751 is very small.
So, we can approximate the value as 424,482,751.
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.