Last updated on June 2nd, 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 658.
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 658 can be written as 658³, which is the exponential form. Or it can also be written in arithmetic form as, 658 × 658 × 658.
In order to check whether a number is a cube number or not, we can use the following three methods, such as the 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. 658³ = 658 × 658 × 658
Step 2: You get 285,883,352 as the answer. Hence, the cube of 658 is 285,883,352.
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 658 into two parts, such as 650 and 8. Let a = 650 and b = 8, so a + b = 658
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term
a³ = 650³
3a²b = 3 × 650² × 8
3ab² = 3 × 650 × 8²
b³ = 8³
Step 4: Add all the terms together:
(a + b)³ = a³ + 3a²b + 3ab² + b³
(650 + 8)³ = 650³ + 3 × 650² × 8 + 3 × 650 × 8² + 8³
658³ = 274,625,000 + 101,400 + 156,000 + 512
658³ = 285,883,352
Step 5: Hence, the cube of 658 is 285,883,352.
To find the cube of 658 using a calculator, input the number 658 and use the cube function (if available) or multiply 658 × 658 × 658. This operation calculates the value of 658³, resulting in 285,883,352. 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 5 and 8
Step 3: If the calculator has a cube function, press it to calculate 658³.
Step 4: If there is no cube function on the calculator, simply multiply 658 three times manually.
Step 5: The calculator will display 285,883,352.
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 658?
The cube of 658 is 285,883,352, and the cube root of 658 is approximately 8.717.
First, let’s find the cube of 658.
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 658³ = 285,883,352
Next, we must find the cube root of 658 We know that the cube root of a number ‘x’, such that ³√x = y Where ‘x’ is the given number, and y is the cube root value of the number
So, we get ³√658 ≈ 8.717
Hence the cube of 658 is 285,883,352, and the cube root of 658 is approximately 8.717.
If the side length of the cube is 658 cm, what is the volume?
The volume is 285,883,352 cm³.
Use the volume formula for a cube V = Side³.
Substitute 658 for the side length: V = 658³ = 285,883,352 cm³.
How much larger is 658³ than 648³?
658³ – 648³ = 12,659,200.
First, find the cube of 658, which is 285,883,352.
Next, find the cube of 648, which is 273,224,152.
Now, find the difference between them using the subtraction method. 285,883,352 – 273,224,152 = 12,659,200
Therefore, 658³ is 12,659,200 larger than 648³.
If a cube with a side length of 658 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 658 cm is 285,883,352 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 658 means multiplying 658 by itself three times: 658 × 658 = 432,964, and 432,964 × 658 = 285,883,352.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 285,883,352 cm³.
Estimate the cube of 657.9 using the cube of 658.
The cube of 657.9 is approximately 285,883,352.
First, identify the cube of 658, The cube of 658 is 658³ = 285,883,352.
Since 657.9 is only a tiny bit less than 658, the cube of 657.9 will be almost the same as the cube of 658.
The cube of 657.9 is approximately 285,883,352 because the difference between 657.9 and 658 is very small.
So, we can approximate the value as 285,883,352.
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.