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 when comparing the sizes of objects or things with cubic measurements. In this topic, we shall learn about the cube of 664.
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 664 can be written as 664³, which is the exponential form. Or it can also be written in arithmetic form as, 664 × 664 × 664.
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 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. 664³ = 664 × 664 × 664
Step 2: You get 292,420,544 as the answer.
Hence, the cube of 664 is 292,420,544.
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 664 into two parts, such as 600 and 64. Let a = 600 and b = 64, so a + b = 664
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 600³ 3a²b = 3 × 600² × 64 3ab² = 3 × 600 × 64² b³ = 64³
Step 4: Add all the terms together:
(a + b)³ = a³ + 3a²b + 3ab² + b³
(600 + 64)³ = 600³ + 3 × 600² × 64 + 3 × 600 × 64² + 64³
664³ = 216,000,000 + 69,120,000 + 7,372,800 + 262,144
664³ = 292,420,544
Step 5: Hence, the cube of 664 is 292,420,544.
To find the cube of 664 using a calculator, input the number 664 and use the cube function (if available) or multiply 664 × 664 × 664. This operation calculates the value of 664³, resulting in 292,420,544. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Enter 664
Step 3: If the calculator has a cube function, press it to calculate 664³.
Step 4: If there is no cube function on the calculator, simply multiply 664 three times manually.
Step 5: The calculator will display 292,420,544.
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 664?
The cube of 664 is 292,420,544 and the cube root of 664 is approximately 8.736.
First, let’s find the cube of 664.
We know that the cube of a number is such that x³ = y Where x is the given number, and y is the cubed value of that number
So, we get 664³ = 292,420,544
Next, we must find the cube root of 664. We know that the cube root of a number ‘x’ is such that ∛x = y Where ‘x’ is the given number, and y is the cube root value of the number
So, we get ∛664 ≈ 8.736
Hence, the cube of 664 is 292,420,544 and the cube root of 664 is approximately 8.736.
If the side length of the cube is 664 cm, what is the volume?
The volume is 292,420,544 cm³.
Use the volume formula for a cube V= side³.
Substitute 664 for the side length: V = 664³ = 292,420,544 cm³.
How much larger is 664³ than 600³?
664³ – 600³ = 76,420,544.
First, find the cube of 664, which is 292,420,544
Next, find the cube of 600, which is 216,000,000
Now, find the difference between them using the subtraction method. 292,420,544 – 216,000,000 = 76,420,544
Therefore, 664³ is 76,420,544 larger than 600³.
If a cube with a side length of 664 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 664 cm is 292,420,544 cm³ and is significantly larger.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 664 means multiplying 664 by itself three times: 664 × 664 = 440,896, and then 440,896 × 664 = 292,420,544.
The unit of volume is cubic centimeters (cm³) because we are calculating the space inside the cube.
Therefore, the volume of the cube is 292,420,544 cm³.
Estimate the cube 663.9 using the cube of 664.
The cube of 663.9 is approximately 292,420,544.
First, identify the cube of 664, The cube of 664 is 664³ = 292,420,544.
Since 663.9 is only a tiny bit less than 664, the cube of 663.9 will be almost the same as the cube of 664.
The cube of 663.9 is approximately 292,420,544 because the difference between 663.9 and 664 is very small.
So, we can approximate the value as 292,420,544.
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.