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 cubes of 460.
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 460 can be written as 460³, which is the exponential form. Or it can also be written in arithmetic form as, 460 × 460 × 460.
In order to check whether a number is a cube number or not, we can use the following three methods, such as 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.
460³ = 460 × 460 × 460
Step 2: You get 97,336,000 as the answer.
Hence, the cube of 460 is 97,336,000.
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 460 into two parts, as 400 and 60.
Let a = 400 and b = 60, so a + b = 460
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term
a³ = 400³
3a²b = 3 × 400² × 60
3ab² = 3 × 400 × 60²
b³ = 60³
Step 4: Add all the terms together:
(a + b)³ = a³ + 3a²b + 3ab² + b³
(400 + 60)³ = 400³ + 3 × 400² × 60 + 3 × 400 × 60² + 60³
460³ = 64,000,000 + 28,800,000 + 4,320,000 + 216,000
460³ = 97,336,000
Step 5: Hence, the cube of 460 is 97,336,000.
To find the cube of 460 using a calculator, input the number 460 and use the cube function (if available) or multiply 460 × 460 × 460. This operation calculates the value of 460³, resulting in 97,336,000. 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 0.
Step 3: If the calculator has a cube function, press it to calculate 460³.
Step 4: If there is no cube function on the calculator, simply multiply 460 three times manually.
Step 5: The calculator will display 97,336,000.
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 460?
The cube of 460 is 97,336,000 and the cube root of 460 is approximately 7.77.
First, let’s find the cube of 460.
We know that 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 460³ = 97,336,000
Next, we must find the cube root of 460
We know that 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√460 ≈ 7.77
Hence the cube of 460 is 97,336,000 and the cube root of 460 is approximately 7.77.
If the side length of the cube is 460 cm, what is the volume?
The volume is 97,336,000 cm³.
Use the volume formula for a cube V = Side³.
Substitute 460 for the side length: V = 460³ = 97,336,000 cm³.
How much larger is 460³ than 400³?
460³ – 400³ = 33,336,000.
First find the cube of 460, that is 97,336,000
Next, find the cube of 400, which is 64,000,000
Now, find the difference between them using the subtraction method.
97,336,000 – 64,000,000 = 33,336,000
Therefore, 460³ is 33,336,000 larger than 400³.
If a cube with a side length of 460 cm is compared to a cube with a side length of 60 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 460 cm is 97,336,000 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 460 means multiplying 460 by itself three times: 460 × 460 = 211,600, and then 211,600 × 460 = 97,336,000.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 97,336,000 cm³.
Estimate the cube of 459.9 using the cube of 460.
The cube of 459.9 is approximately 97,336,000.
First, identify the cube of 460, The cube of 460 is 460³ = 97,336,000.
Since 459.9 is only a tiny bit less than 460, the cube of 459.9 will be almost the same as the cube of 460.
The cube of 459.9 is approximately 97,336,000 because the difference between 459.9 and 460 is very small.
So, we can approximate the value as 97,336,000.
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.