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 when comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about cubes of 624.
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 624 can be written as 624³, which is the exponential form. Or it can also be written in arithmetic form as, 624 × 624 × 624.
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. 624³ = 624 × 624 × 624
Step 2: You get 242,161,664 as the answer. Hence, the cube of 624 is 242,161,664.
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 624 into two parts, as 600 and 24. Let a = 600 and b = 24, so a + b = 624
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term
a³ = 600³
3a²b = 3 × 600² × 24
3ab² = 3 × 600 × 24²
b³ = 24³
Step 4: Add all the terms together:
(a + b)³ = a³ + 3a²b + 3ab² + b³
(600 + 24)³ = 600³ + 3 × 600² × 24 + 3 × 600 × 24² + 24³
624³ = 216,000,000 + 25,920,000 + 10,368,000 + 13,824
624³ = 242,161,664
Step 5: Hence, the cube of 624 is 242,161,664.
To find the cube of 624 using a calculator, input the number 624 and use the cube function (if available) or multiply 624 × 624 × 624. This operation calculates the value of 624³, resulting in 242,161,664. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Press 6 followed by 2 and 4
Step 3: If the calculator has a cube function, press it to calculate 624³.
Step 4: If there is no cube function on the calculator, simply multiply 624 three times manually.
Step 5: The calculator will display 242,161,664.
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 624?
The cube of 624 is 242,161,664 and the cube root of 624 is approximately 8.545.
First, let’s find the cube of 624.
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 624³ = 242,161,664
Next, we must find the cube root of 624 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√624 ≈ 8.545
Hence the cube of 624 is 242,161,664 and the cube root of 624 is approximately 8.545.
If the side length of the cube is 624 cm, what is the volume?
The volume is 242,161,664 cm³.
Use the volume formula for a cube V = Side³.
Substitute 624 for the side length: V = 624³ = 242,161,664 cm³.
How much larger is 624³ than 600³?
624³ – 600³ = 26,161,664.
First, find the cube of 624, that is 242,161,664
Next, find the cube of 600, which is 216,000,000
Now, find the difference between them using the subtraction method.
242,161,664 – 216,000,000 = 26,161,664
Therefore, the 624³ is 26,161,664 larger than 600³.
If a cube with a side length of 624 cm is compared to a cube with a side length of 12 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 624 cm is 242,161,664 cm³
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 624 means multiplying 624 by itself three times: 624 × 624 = 389,376, and then 389,376 × 624 = 242,161,664.
The unit of volume is cubic centimeters (cm³) because we are calculating the space inside the cube.
Therefore, the volume of the cube is 242,161,664 cm³.
Estimate the cube 623.9 using the cube 624.
The cube of 623.9 is approximately 242,161,664.
First, identify the cube of 624, The cube of 624 is 624³ = 242,161,664.
Since 623.9 is only a tiny bit less than 624, the cube of 623.9 will be almost the same as the cube of 624.
The cube of 623.9 is approximately 242,161,664 because the difference between 623.9 and 624 is very small.
So, we can approximate the value as 242,161,664.
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.