Last updated on June 9th, 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 855.
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 855 can be written as 855³, which is the exponential form. Or it can also be written in arithmetic form as 855 × 855 × 855.
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 numbers 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. 855³ = 855 × 855 × 855
Step 2: You get 625,707,375 as the answer. Hence, the cube of 855 is 625,707,375.
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 855 into two parts, such as 800 and 55. Let a = 800 and b = 55, so a + b = 855
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 800³ 3a²b = 3 × 800² × 55 3ab² = 3 × 800 × 55² b³ = 55³
Step 4: Add all the terms together:
(a + b)³ = a³ + 3a²b + 3ab² + b³
(800 + 55)³ = 800³ + 3 × 800² × 55 + 3 × 800 × 55² + 55³
855³ = 512,000,000 + 105,600,000 + 7,260,000 + 166,375
855³ = 625,707,375
Step 5: Hence, the cube of 855 is 625,707,375.
To find the cube of 855 using a calculator, input the number 855 and use the cube function (if available) or multiply 855 × 855 × 855. This operation calculates the value of 855³, resulting in 625,707,375. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Press 8, 5, then 5
Step 3: If the calculator has a cube function, press it to calculate 855³.
Step 4: If there is no cube function on the calculator, simply multiply 855 three times manually.
Step 5: The calculator will display 625,707,375.
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 855?
The cube of 855 is 625,707,375 and the cube root of 855 is approximately 9.539.
First, let’s find the cube of 855.
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 855³ = 625,707,375.
Next, we must find the cube root of 855.
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 ∛855 ≈ 9.539.
Hence, the cube of 855 is 625,707,375 and the cube root of 855 is approximately 9.539.
If the side length of the cube is 855 cm, what is the volume?
The volume is 625,707,375 cm³.
Use the volume formula for a cube V = side³.
Substitute 855 for the side length: V = 855³ = 625,707,375 cm³.
How much larger is 855³ than 800³?
855³ – 800³ = 113,707,375.
First find the cube of 855³, which is 625,707,375.
Next, find the cube of 800³, which is 512,000,000.
Now, find the difference between them using the subtraction method. 625,707,375 – 512,000,000 = 113,707,375.
Therefore, 855³ is 113,707,375 larger than 800³.
If a cube with a side length of 855 cm is compared to a cube with a side length of 500 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 855 cm is 625,707,375 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 855 means multiplying 855 by itself three times: 855 × 855 = 731,025, and then 731,025 × 855 = 625,707,375.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 625,707,375 cm³.
Estimate the cube 854.9 using the cube of 855.
The cube of 854.9 is approximately 625,707,375.
First, identify the cube of 855. The cube of 855 is 855³ = 625,707,375.
Since 854.9 is only a tiny bit less than 855, the cube of 854.9 will be almost the same as the cube of 855.
The cube of 854.9 is approximately 625,707,375 because the difference between 854.9 and 855 is very small.
So, we can approximate the value as 625,707,375.
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.