Last updated on May 29th, 2025
When a number is multiplied by itself thrice, the resultant number is called the cube of that number. Cubing is used when comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about the cube of 467.
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 467 can be written as 467³, which is the exponential form. Or it can also be written in arithmetic form as, 467 × 467 × 467.
To check whether a number is a cube number or not, we can use the following three methods: the multiplication method, a factor formula (a³), or by using a calculator. These three methods will help individuals 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.
467³ = 467 × 467 × 467
Step 2: You get 101,823,563 as the answer.
Hence, the cube of 467 is 101,823,563.
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 467 into two parts.
Let a = 400 and b = 67, so a + b = 467
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term
a³ = 400³ 3a²b = 3 × 400² × 67
3ab² = 3 × 400 × 67²
b³ = 67³
Step 4: Add all the terms together:
(a + b)³ = a³ + 3a²b + 3ab² + b³
(400 + 67)³ = 400³ + 3 × 400² × 67 + 3 × 400 × 67² + 67³
Step 5: Hence, the cube of 467 is 101,823,563.
To find the cube of 467 using a calculator, input the number 467 and use the cube function (if available) or multiply 467 × 467 × 467. This operation calculates the value of 467³, resulting in 101,823,563. 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 then 7.
Step 3: If the calculator has a cube function, press it to calculate 467³.
Step 4: If there is no cube function on the calculator, simply multiply 467 three times manually.
Step 5: The calculator will display 101,823,563.
There are some typical errors that individuals might make during the process of cubing a number. Let us take a look at five of the major mistakes that might occur:
What is the cube and cube root of 467?
The cube of 467 is 101,823,563 and the cube root of 467 is approximately 7.776.
First, let’s find the cube of 467.
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 467³ = 101,823,563.
Next, we must find the cube root of 467.
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 ∛467 ≈ 7.776.
Hence, the cube of 467 is 101,823,563 and the cube root of 467 is approximately 7.776.
If the side length of the cube is 467 cm, what is the volume?
The volume is 101,823,563 cm³.
Use the volume formula for a cube V = Side³.
Substitute 467 for the side length: V = 467³ = 101,823,563 cm³.
How much larger is 467³ than 400³?
467³ – 400³ = 37,823,563.
First find the cube of 467³, that is 101,823,563.
Next, find the cube of 400³, which is 64,000,000.
Now, find the difference between them using the subtraction method.
101,823,563 – 64,000,000 = 37,823,563.
Therefore, 467³ is 37,823,563 larger than 400³.
If a cube with a side length of 467 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 467 cm is 101,823,563 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 467 means multiplying 467 by itself three times: 467 × 467 = 218,089, and then 218,089 × 467 = 101,823,563.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 101,823,563 cm³.
Estimate the cube of 466.9 using the cube of 467.
The cube of 466.9 is approximately 101,823,563.
First, identify the cube of 467.
The cube of 467 is 467³ = 101,823,563.
Since 466.9 is only a tiny bit less than 467, the cube of 466.9 will be almost the same as the cube of 467.
The cube of 466.9 is approximately 101,823,563 because the difference between 466.9 and 467 is very small.
So, we can approximate the value as 101,823,563.
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.