Last updated on June 2nd, 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 cubes of 628.
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 628 can be written as 628³, which is the exponential form. Or it can also be written in arithmetic form as 628 × 628 × 628.
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 methods help to cube numbers faster and easier without confusion or mistakes 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. 628³ = 628 × 628 × 628
Step 2: You get 247,297,472 as the answer. Hence, the cube of 628 is 247,297,472.
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 628 into two parts, as a and b. Let a = 600 and b = 28, so a + b = 628
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term
a³ = 600³
3a²b = 3 × 600² × 28
3ab² = 3 × 600 × 28²
b³ = 28³
Step 4: Add all the terms together:
(a + b)³ = a³ + 3a²b + 3ab² + b³
(600 + 28)³ = 600³ + 3 × 600² × 28 + 3 × 600 × 28² + 28³
628³ = 216,000,000 + 30,240,000 + 14,112,000 + 21,952
628³ = 247,297,472
Step 5: Hence, the cube of 628 is 247,297,472.
To find the cube of 628 using a calculator, input the number 628 and use the cube function (if available) or multiply 628 × 628 × 628. This operation calculates the value of 628³, resulting in 247,297,472. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Enter 628
Step 3: If the calculator has a cube function, press it to calculate 628³.
Step 4: If there is no cube function on the calculator, simply multiply 628 three times manually.
Step 5: The calculator will display 247,297,472.
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 occur:
What is the cube and cube root of 628?
The cube of 628 is 247,297,472 and the cube root of 628 is approximately 8.55.
First, let’s find the cube of 628.
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 628³ = 247,297,472
Next, we must find the cube root of 628 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√628 ≈ 8.55
Hence, the cube of 628 is 247,297,472 and the cube root of 628 is approximately 8.55.
If the side length of the cube is 628 cm, what is the volume?
The volume is 247,297,472 cm³.
Use the volume formula for a cube V = Side³.
Substitute 628 for the side length: V = 628³ = 247,297,472 cm³.
How much larger is 628³ than 500³?
628³ – 500³ = 122,297,472.
First, find the cube of 628³, which is 247,297,472 Next, find the cube of 500³, which is 125,000,000
Now, find the difference between them using the subtraction method.
247,297,472 – 125,000,000 = 122,297,472
Therefore, 628³ is 122,297,472 larger than 500³.
If a cube with a side length of 628 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 628 cm is 247,297,472 cm³.
To find its volume, multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 628 means multiplying 628 by itself three times: 628 × 628 = 394,384, and then 394,384 × 628 = 247,297,472.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 247,297,472 cm³.
Estimate the cube of 627.9 using the cube of 628.
The cube of 627.9 is approximately 247,297,472.
First, identify the cube of 628, The cube of 628 is 628³ = 247,297,472.
Since 627.9 is only a tiny bit less than 628, the cube of 627.9 will be almost the same as the cube of 628.
The cube of 627.9 is approximately 247,297,472 because the difference between 627.9 and 628 is very small.
So, we can approximate the value as 247,297,472.
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.