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 while comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about cubes of 474.
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 474 can be written as 474³, which is the exponential form. Or it can also be written in arithmetic form as, 474 × 474 × 474.
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. 474³ = 474 × 474 × 474
Step 2: You get 106,662,024 as the answer. Hence, the cube of 474 is 106,662,024.
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 474 into two parts, as 470 and 4. Let a = 470 and b = 4, so a + b = 474
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 470³ 3a²b = 3 × 470² × 4 3ab² = 3 × 470 × 4² b³ = 4³
Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (470 + 4)³ = 470³ + 3 × 470² × 4 + 3 × 470 × 4² + 4³ 474³ = 103,823,000 + 26,568 + 22,560 + 64 474³ = 106,662,024
Step 5: Hence, the cube of 474 is 106,662,024.
To find the cube of 474 using a calculator, input the number 474 and use the cube function (if available) or multiply 474 × 474 × 474. This operation calculates the value of 474³, resulting in 106,662,024. 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 7 and then 4
Step 3: If the calculator has a cube function, press it to calculate 474³.
Step 4: If there is no cube function on the calculator, simply multiply 474 three times manually.
Step 5: The calculator will display 106,662,024.
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 474?
The cube of 474 is 106,662,024 and the cube root of 474 is approximately 7.779.
First, let’s find the cube of 474.
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 474³ = 106,662,024
Next, we must find the cube root of 474 We know that 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 ∛474 ≈ 7.779
Hence the cube of 474 is 106,662,024 and the cube root of 474 is approximately 7.779.
If the side length of the cube is 474 cm, what is the volume?
The volume is 106,662,024 cm³.
Use the volume formula for a cube V = Side³.
Substitute 474 for the side length: V = 474³ = 106,662,024 cm³.
How much larger is 474³ than 473³?
474³ – 473³ = 1,066,323.
First find the cube of 474³, that is 106,662,024
Next, find the cube of 473³, which is 105,595,701
Now, find the difference between them using the subtraction method.
106,662,024 – 105,595,701 = 1,066,323
Therefore, the 474³ is 1,066,323 larger than 473³.
If a cube with a side length of 474 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 474 cm is 106,662,024 cm³
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 474 means multiplying 474 by itself three times: 474 × 474 = 224,676, and then 224,676 × 474 = 106,662,024.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 106,662,024 cm³.
Estimate the cube of 473.9 using the cube of 474.
The cube of 473.9 is approximately 106,662,024.
First, identify the cube of 474, The cube of 474 is 474³ = 106,662,024.
Since 473.9 is only a tiny bit less than 474, the cube of 473.9 will be almost the same as the cube of 474.
The cube of 473.9 is approximately 106,662,024 because the difference between 473.9 and 474 is very small.
So, we can approximate the value as 106,662,024.
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.