Last updated on June 5th, 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 724.
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 724 can be written as 724³, which is the exponential form. Or it can also be written in arithmetic form as, 724 × 724 × 724.
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. 724³ = 724 × 724 × 724
Step 2: You get 379,641,344 as the answer. Hence, the cube of 724 is 379,641,344.
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 724 into two parts, such as a and b. Let a = 700 and b = 24, so a + b = 724
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 700³ 3a²b = 3 × 700² × 24 3ab² = 3 × 700 × 24² b³ = 24³
Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (700 + 24)³ = 700³ + 3 × 700² × 24 + 3 × 700 × 24² + 24³ 724³ = 343,000,000 + 35,280,000 + 12,096,000 + 13,824 724³ = 379,641,344
Step 5: Hence, the cube of 724 is 379,641,344.
To find the cube of 724 using a calculator, input the number 724 and use the cube function (if available) or multiply 724 × 724 × 724. This operation calculates the value of 724³, resulting in 379,641,344. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Press 7 followed by 2 and then 4
Step 3: If the calculator has a cube function, press it to calculate 724³.
Step 4: If there is no cube function on the calculator, simply multiply 724 three times manually.
Step 5: The calculator will display 379,641,344.
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 724?
The cube of 724 is 379,641,344 and the cube root of 724 is approximately 8.998.
First, let’s find the cube of 724.
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 724³ = 379,641,344
Next, we must find the cube root of 724 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√724 ≈ 8.998
Hence the cube of 724 is 379,641,344 and the cube root of 724 is approximately 8.998.
If the side length of the cube is 724 cm, what is the volume?
The volume is 379,641,344 cm³.
Use the volume formula for a cube V = Side³.
Substitute 724 for the side length: V = 724³ = 379,641,344 cm³.
How much larger is 724³ than 624³?
724³ – 624³ = 158,368,000.
First, find the cube of 724³, that is 379,641,344
Next, find the cube of 624³, which is 221,273,344
Now, find the difference between them using the subtraction method. 379,641,344 – 221,273,344 = 158,368,000
Therefore, the 724³ is 158,368,000 larger than 624³.
If a cube with a side length of 724 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 724 cm is 379,641,344 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 724 means multiplying 724 by itself three times: 724 × 724 = 524,176, and then 524,176 × 724 = 379,641,344.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 379,641,344 cm³.
Estimate the cube 723.5 using the cube 724.
The cube of 723.5 is approximately 379,641,344.
First, identify the cube of 724, The cube of 724 is 724³ = 379,641,344.
Since 723.5 is only a tiny bit less than 724, the cube of 723.5 will be almost the same as the cube of 724.
The cube of 723.5 is approximately 379,641,344 because the difference between 723.5 and 724 is very small.
So, we can approximate the value as 379,641,344.
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.