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 608.
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 608 can be written as 608³, which is the exponential form. Or it can also be written in arithmetic form as, 608 × 608 × 608.
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. 608³ = 608 × 608 × 608
Step 2: You get 224,257,792 as the answer. Hence, the cube of 608 is 224,257,792.
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 608 into two parts, as 600 and 8. Let a = 600 and b = 8, so a + b = 608
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term
a³ = 600³
3a²b = 3 × 600² × 8
3ab² = 3 × 600 × 8²
b³ = 8³
Step 4: Add all the terms together:
(a + b)³ = a³ + 3a²b + 3ab² + b³
(600 + 8)³ = 600³ + 3 × 600² × 8 + 3 × 600 × 8² + 8³
608³ = 216,000,000 + 8,640,000 + 115,200 + 512
608³ = 224,257,712
Step 5: Hence, the cube of 608 is 224,257,792.
To find the cube of 608 using a calculator, input the number 608 and use the cube function (if available) or multiply 608 × 608 × 608. This operation calculates the value of 608³, resulting in 224,257,792. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Press 6 followed by 0 and 8
Step 3: If the calculator has a cube function, press it to calculate 608³.
Step 4: If there is no cube function on the calculator, simply multiply 608 three times manually.
Step 5: The calculator will display 224,257,792.
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 608?
The cube of 608 is 224,257,792 and the cube root of 608 is approximately 8.465.
First, let’s find the cube of 608.
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 608³ = 224,257,792
Next, we must find the cube root of 608 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 ∛608 ≈ 8.465
Hence the cube of 608 is 224,257,792 and the cube root of 608 is approximately 8.465.
If the side length of the cube is 608 cm, what is the volume?
The volume is 224,257,792 cm³.
Use the volume formula for a cube V = Side³.
Substitute 608 for the side length: V = 608³ = 224,257,792 cm³.
How much larger is 608³ than 500³?
608³ – 500³ = 99,257,792.
First find the cube of 608³, that is 224,257,792.
Next, find the cube of 500³, which is 125,000,000.
Now, find the difference between them using the subtraction method.
224,257,792 – 125,000,000 = 99,257,792
Therefore, the 608³ is 99,257,792 larger than 500³.
If a cube with a side length of 608 cm is compared to a cube with a side length of 100 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 608 cm is 224,257,792 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 608 means multiplying 608 by itself three times: 608 × 608 = 369,664, and then 369,664 × 608 = 224,257,792.
The unit of volume is cubic centimeters (cm³) because we are calculating the space inside the cube.
Therefore, the volume of the cube is 224,257,792 cm³.
Estimate the cube of 607.9 using the cube of 608.
The cube of 607.9 is approximately 224,257,792.
First, identify the cube of 608, The cube of 608 is 608³ = 224,257,792.
Since 607.9 is only a tiny bit less than 608, the cube of 607.9 will be almost the same as the cube of 608.
The cube of 607.9 is approximately 224,257,792 because the difference between 607.9 and 608 is very small.
So, we can approximate the value as 224,257,792.
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.