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 the cube of 463.
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 463 can be written as 463³, which is the exponential form. Or it can also be written in arithmetic form as 463 × 463 × 463.
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 you 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.
463³ = 463 × 463 × 463
Step 2: You get 99,283,447 as the answer.
Hence, the cube of 463 is 99,283,447.
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 463 into two parts, as 460 and 3.
Let a = 460 and b = 3, so a + b = 463
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term
a³ = 460³
3a²b = 3 × 460² × 3
3ab² = 3 × 460 × 3²
b³ = 3³
Step 4: Add all the terms together:
(a + b)³ = a³ + 3a²b + 3ab² + b³
(460 + 3)³ = 460³ + 3 × 460² × 3 + 3 × 460 × 3² + 3³
463³ = 97,336,000 + 1,899,600 + 12,420 + 27
463³ = 99,283,447
Step 5: Hence, the cube of 463 is 99,283,447.
To find the cube of 463 using a calculator, input the number 463 and use the cube function (if available) or multiply 463 × 463 × 463. This operation calculates the value of 463³, resulting in 99,283,447. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Input 463
Step 3: If the calculator has a cube function, press it to calculate 463³.
Step 4: If there is no cube function on the calculator, simply multiply 463 three times manually.
Step 5: The calculator will display 99,283,447.
There are some typical errors that might occur during the process of cubing a number. Let us take a look at five of the major mistakes that might happen:
What is the cube and cube root of 463?
The cube of 463 is 99,283,447 and the cube root of 463 is approximately 7.77.
First, let’s find the cube of 463.
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 463³ = 99,283,447.
Next, we must find the cube root of 463 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 ∛463 ≈ 7.77
Hence, the cube of 463 is 99,283,447 and the cube root of 463 is approximately 7.77.
If the side length of the cube is 463 cm, what is the volume?
The volume is 99,283,447 cm³.
Use the volume formula for a cube V = Side³.
Substitute 463 for the side length: V = 463³ = 99,283,447 cm³.
How much larger is 463³ than 460³?
463³ – 460³ = 1,947,447.
First, find the cube of 463³, which is 99,283,447.
Next, find the cube of 460³, which is 97,336,000.
Now, find the difference between them using the subtraction method.
99,283,447 – 97,336,000 = 1,947,447
Therefore, 463³ is 1,947,447 larger than 460³.
If a cube with a side length of 463 cm is compared to a cube with a side length of 3 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 463 cm is 99,283,447 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 463 means multiplying 463 by itself three times: 463 × 463 = 214,369, and then 214,369 × 463 = 99,283,447.
The unit of volume is cubic centimeters (cm³) because we are calculating the space inside the cube.
Therefore, the volume of the cube is 99,283,447 cm³.
Estimate the cube 462.9 using the cube 463.
The cube of 462.9 is approximately 99,283,447.
First, identify the cube of 463,
The cube of 463 is 463³ = 99,283,447.
Since 462.9 is only a tiny bit less than 463, the cube of 462.9 will be almost the same as the cube of 463.
The cube of 462.9 is approximately 99,283,447 because the difference between 462.9 and 463 is very small.
So, we can approximate the value as 99,283,447.
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.