Last updated on May 30th, 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 617.
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 617 can be written as 617³, which is the exponential form. Or it can also be written in arithmetic form as, 617 × 617 × 617.
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. 617³ = 617 × 617 × 617
Step 2: You get 234,890,233 as the answer. Hence, the cube of 617 is 234,890,233.
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 617 into two parts. Let a = 600 and b = 17, so a + b = 617
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term:
a³ = 600³
3a²b = 3 × 600² × 17
3ab² = 3 × 600 × 17²
b³ = 17³
Step 4: Add all the terms together:
(a + b)³ = a³ + 3a²b + 3ab² + b³
(600 + 17)³ = 600³ + 3 × 600² × 17 + 3 × 600 × 17² + 17³
617³ = 216,000,000 + 183,600 + 520,200 + 4,913
617³ = 234,890,233
Step 5: Hence, the cube of 617 is 234,890,233.
To find the cube of 617 using a calculator, input the number 617 and use the cube function (if available) or multiply 617 × 617 × 617. This operation calculates the value of 617³, resulting in 234,890,233. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Press 6, 1, and 7.
Step 3: If the calculator has a cube function, press it to calculate 617³.
Step 4: If there is no cube function on the calculator, simply multiply 617 three times manually.
Step 5: The calculator will display 234,890,233.
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 617?
The cube of 617 is 234,890,233 and the cube root of 617 is approximately 8.53.
First, let’s find the cube of 617. 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 617³ = 234,890,233
Next, we must find the cube root of 617 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 ∛617 ≈ 8.53
Hence the cube of 617 is 234,890,233 and the cube root of 617 is approximately 8.53.
If the side length of the cube is 617 cm, what is the volume?
The volume is 234,890,233 cm³.
Use the volume formula for a cube V = Side³.
Substitute 617 for the side length: V = 617³ = 234,890,233 cm³.
How much larger is 617³ than 600³?
617³ – 600³ = 18,890,233.
First, find the cube of 617, which is 234,890,233
Next, find the cube of 600, which is 216,000,000
Now, find the difference between them using the subtraction method.
234,890,233 – 216,000,000 = 18,890,233
Therefore, 617³ is 18,890,233 larger than 600³.
If a cube with a side length of 617 cm is compared to a cube with a side length of 17 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 617 cm is 234,890,233 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 617 means multiplying 617 by itself three times: 617 × 617 = 380,689, and then 380,689 × 617 = 234,890,233.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 234,890,233 cm³.
Estimate the cube 616.9 using the cube 617.
The cube of 616.9 is approximately 234,890,233.
First, identify the cube of 617, The cube of 617 is 617³ = 234,890,233.
Since 616.9 is only a tiny bit less than 617, the cube of 616.9 will be almost the same as the cube of 617.
The cube of 616.9 is approximately 234,890,233 because the difference between 616.9 and 617 is very small.
So, we can approximate the value as 234,890,233.
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.