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 755.
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 755 can be written as 755³, which is the exponential form. Or it can also be written in arithmetic form as, 755 × 755 × 755.
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. 755³ = 755 × 755 × 755
Step 2: You get 430,636,875 as the answer. Hence, the cube of 755 is 430,636,875.
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 755 into two parts. Let a = 700 and b = 55, so a + b = 755
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 700³ 3a²b = 3 × 700² × 55 3ab² = 3 × 700 × 55² b³ = 55³
Step 4: Add all the terms together:
(a + b)³ = a³ + 3a²b + 3ab² + b³
(700 + 55)³ = 700³ + 3 × 700² × 55 + 3 × 700 × 55² + 55³
755³ = 343,000,000 + 80,850,000 + 6,337,500 + 166,375
755³ = 430,636,875
Step 5: Hence, the cube of 755 is 430,636,875.
To find the cube of 755 using a calculator, input the number 755 and use the cube function (if available) or multiply 755 × 755 × 755. This operation calculates the value of 755³, resulting in 430,636,875. 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 then 5
Step 3: If the calculator has a cube function, press it to calculate 755³.
Step 4: If there is no cube function on the calculator, simply multiply 755 three times manually.
Step 5: The calculator will display 430,636,875.
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 755?
The cube of 755 is 430,636,875 and the cube root of 755 is approximately 9.092.
First, let’s find the cube of 755.
We know that the cube of a number is x³ = y, where x is the given number, and y is the cubed value of that number.
So, we get 755³ = 430,636,875.
Next, we must find the cube root of 755. We know that the cube root of a number x is ∛x = y, where x is the given number, and y is the cube root value of the number.
So, we get ∛755 ≈ 9.092.
Hence the cube of 755 is 430,636,875 and the cube root of 755 is approximately 9.092.
If the side length of the cube is 755 cm, what is the volume?
The volume is 430,636,875 cm³.
Use the volume formula for a cube V = Side³.
Substitute 755 for the side length: V = 755³ = 430,636,875 cm³.
How much larger is 755³ than 700³?
755³ – 700³ = 87,636,875.
First, find the cube of 755³, that is 430,636,875.
Next, find the cube of 700³, which is 343,000,000.
Now, find the difference between them using the subtraction method. 430,636,875 – 343,000,000 = 87,636,875.
Therefore, 755³ is 87,636,875 larger than 700³.
If a cube with a side length of 755 cm is compared to a cube with a side length of 55 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 755 cm is 430,636,875 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 755 means multiplying 755 by itself three times: 755 × 755 = 570,025, and then 570,025 × 755 = 430,636,875.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 430,636,875 cm³.
Estimate the cube of 754.9 using the cube of 755.
The cube of 754.9 is approximately 430,636,875.
First, identify the cube of 755, The cube of 755 is 755³ = 430,636,875.
Since 754.9 is only a tiny bit less than 755, the cube of 754.9 will be almost the same as the cube of 755.
The cube of 754.9 is approximately 430,636,875 because the difference between 754.9 and 755 is very small.
So, we can approximate the value as 430,636,875.
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.