Last updated on May 28th, 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 473.
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 473 can be written as 473³, which is the exponential form. Or it can also be written in arithmetic form as 473 × 473 × 473.
In order 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 you cube 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. 473³ = 473 × 473 × 473
Step 2: You get 105,188,617 as the answer. Hence, the cube of 473 is 105,188,617.
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 473 into two parts. Let a = 470 and b = 3, so a + b = 473
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 470³ 3a²b = 3 × 470² × 3 3ab² = 3 × 470 × 3² b³ = 3³
Step 4: Add all the terms together:
(a + b)³ = a³ + 3a²b + 3ab² + b³
(470 + 3)³ = 470³ + 3 × 470² × 3 + 3 × 470 × 3² + 3³
473³ = 103,823,000 + 1,989,000 + 12,690 + 27
473³ = 105,188,617
Step 5: Hence, the cube of 473 is 105,188,617.
To find the cube of 473 using a calculator, input the number 473 and use the cube function (if available) or multiply 473 × 473 × 473. This operation calculates the value of 473³, resulting in 105,188,617. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Press 4, 7, and 3
Step 3: If the calculator has a cube function, press it to calculate 473³.
Step 4: If there is no cube function on the calculator, simply multiply 473 three times manually.
Step 5: The calculator will display 105,188,617.
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 473?
The cube of 473 is 105,188,617 and the cube root of 473 is approximately 7.775.
First, let’s find the cube of 473.
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 473³ = 105,188,617
Next, we must find the cube root of 473. We know that the 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√473 ≈ 7.775
Hence the cube of 473 is 105,188,617 and the cube root of 473 is approximately 7.775.
If the side length of a cube is 473 cm, what is the volume?
The volume is 105,188,617 cm³.
Use the volume formula for a cube V = Side³.
Substitute 473 for the side length: V = 473³ = 105,188,617 cm³.
How much larger is 473³ than 370³?
473³ - 370³ = 84,243,617.
First, find the cube of 473, which is 105,188,617.
Next, find the cube of 370, which is 20,945,000.
Now, find the difference between them using the subtraction method.
105,188,617 - 20,945,000 = 84,243,617
Therefore, 473³ is 84,243,617 larger than 370³.
If a cube with a side length of 473 cm is compared to a cube with a side length of 10 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 473 cm is 105,188,617 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 473 means multiplying 473 by itself three times.
Therefore, the volume of the cube is 105,188,617 cm³.
Estimate the cube of 472 using the cube of 473.
The cube of 472 is approximately 105,188,617.
First, identify the cube of 473,
The cube of 473 is 473³ = 105,188,617.
Since 472 is only slightly less than 473, the cube of 472 will be almost the same as the cube of 473.
The cube of 472 is approximately 105,188,617 because the difference between 472 and 473 is very small.
So, we can approximate the value as 105,188,617.
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.