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 the cube of 757.
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 757 can be written as 757³, which is the exponential form. Or it can also be written in arithmetic form as 757 × 757 × 757.
In order to check whether a number is a cube number or not, we can use the following three methods: 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. 757³ = 757 × 757 × 757
Step 2: You get 434,094,353 as the answer. Hence, the cube of 757 is 434,094,353.
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 757 into two parts. Let a = 700 and b = 57, so a + b = 757
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term
a³ = 700³
3a²b = 3 × 700² × 57
3ab² = 3 × 700 × 57²
b³ = 57³
Step 4: Add all the terms together:
(a + b)³ = a³ + 3a²b + 3ab² + b³
(700 + 57)³ = 700³ + 3 × 700² × 57 + 3 × 700 × 57² + 57³
757³ = 343,000,000 + 83,790,000 + 6,804,300 + 185,053
757³ = 434,094,353
Step 5: Hence, the cube of 757 is 434,094,353.
To find the cube of 757 using a calculator, input the number 757 and use the cube function (if available) or multiply 757 × 757 × 757. This operation calculates the value of 757³, resulting in 434,094,353. 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 7
Step 3: If the calculator has a cube function, press it to calculate 757³.
Step 4: If there is no cube function on the calculator, simply multiply 757 three times manually.
Step 5: The calculator will display 434,094,353.
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 757?
The cube of 757 is 434,094,353 and the cube root of 757 is approximately 9.140.
First, let’s find the cube of 757.
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 757³ = 434,094,353
Next, we must find the cube root of 757. 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 ∛757 ≈ 9.140
Hence the cube of 757 is 434,094,353 and the cube root of 757 is approximately 9.140.
If the side length of the cube is 757 cm, what is the volume?
The volume is 434,094,353 cm³.
Use the volume formula for a cube V = Side³.
Substitute 757 for the side length: V = 757³ = 434,094,353 cm³.
How much larger is 757³ than 657³?
757³ – 657³ = 238,263,852.
First find the cube of 757, which is 434,094,353.
Next, find the cube of 657, which is 195,830,501.
Now, find the difference between them using the subtraction method. 434,094,353 – 195,830,501 = 238,263,852
Therefore, 757³ is 238,263,852 larger than 657³.
If a cube with a side length of 757 cm is compared to a cube with a side length of 157 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 757 cm is 434,094,353 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 757 means multiplying 757 by itself three times: 757 × 757 = 573,049, and then 573,049 × 757 = 434,094,353.
The unit of volume is cubic centimeters (cm³) because we are calculating the space inside the cube.
Therefore, the volume of the cube is 434,094,353 cm³.
Estimate the cube of 756 using the cube of 757.
The cube of 756 is approximately 432,435,456.
First, identify the cube of 757, The cube of 757 is 757³ = 434,094,353.
Since 756 is only slightly less than 757, the cube of 756 will be almost the same as the cube of 757.
The cube of 756 is approximately 432,435,456 because the difference between 756 and 757 is very small.
So, we can approximate the value as 432,435,456.
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.