Last updated on May 29th, 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 the cube of 466.
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 466 can be written as 466³, which is the exponential form. Or it can also be written in arithmetic form as, 466 × 466 × 466.
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 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.
466³ = 466 × 466 × 466
Step 2: You get 101,194,936 as the answer.
Hence, the cube of 466 is 101,194,936.
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 466 into two parts, such as 460 and 6.
Let a = 460 and b = 6, so a + b = 466
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term
a³ = 460³ 3a²b = 3 × 460² × 6
3ab² = 3 × 460 × 6²
b³ = 6³
Step 4: Add all the terms together:
(a + b)³ = a³ + 3a²b + 3ab² + b³
(460 + 6)³ = 460³ + 3 × 460² × 6 + 3 × 460 × 6² + 6³
466³ = 97,336,000 + 3,801,600 + 76,320 + 216
466³ = 101,194,936
Step 5: Hence, the cube of 466 is 101,194,936.
To find the cube of 466 using a calculator, input the number 466 and use the cube function (if available) or multiply 466 × 466 × 466. This operation calculates the value of 466³, resulting in 101,194,936. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Press 4 followed by 6 and 6
Step 3: If the calculator has a cube function, press it to calculate 466³.
Step 4: If there is no cube function on the calculator, simply multiply 466 three times manually.
Step 5: The calculator will display 101,194,936.
The cube of any even number is always even, while the cube of any odd number is always odd. The product of two or more perfect cube numbers is always a perfect cube. A perfect cube can always be expressed as the product of three identical groups of equal prime factors.
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 466?
The cube of 466 is 101,194,936 and the cube root of 466 is approximately 7.769.
First, let’s find the cube of 466.
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 466³ = 101,194,936.
Next, we must find the cube root of 466. 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 ∛466 ≈ 7.769.
Hence the cube of 466 is 101,194,936 and the cube root of 466 is approximately 7.769.
If the side length of the cube is 466 cm, what is the volume?
The volume is 101,194,936 cm³.
Use the volume formula for a cube V = Side³.
Substitute 466 for the side length: V = 466³ = 101,194,936 cm³.
How much larger is 466³ than 460³?
466³ – 460³ = 3,858,936.
First, find the cube of 466, which is 101,194,936.
Next, find the cube of 460, which is 97,336,000.
Now, find the difference between them using the subtraction method.
101,194,936 – 97,336,000 = 3,858,936.
Therefore, 466³ is 3,858,936 larger than 460³.
If a cube with a side length of 466 cm is compared to a cube with a side length of 6 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 466 cm is 101,194,936 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 466 means multiplying 466 by itself three times: 466 × 466 = 217,156, and then 217,156 × 466 = 101,194,936.
The unit of volume is cubic centimeters (cm³) because we are calculating the space inside the cube.
Therefore, the volume of the cube is 101,194,936 cm³.
Estimate the cube of 465.9 using the cube of 466.
The cube of 465.9 is approximately 101,194,936.
First, identify the cube of 466.
The cube of 466 is 466³ = 101,194,936.
Since 465.9 is only a tiny bit less than 466, the cube of 465.9 will be almost the same as the cube of 466.
The cube of 465.9 is approximately 101,194,936 because the difference between 465.9 and 466 is very small.
So, we can approximate the value as 101,194,936.
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.