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 while comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about the cube of 730.
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 730 can be written as 730³, which is the exponential form. Or it can also be written in arithmetic form as, 730 × 730 × 730.
In order to check whether a number is a cube number or not, we can use the following three methods, such as the 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 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. 730³ = 730 × 730 × 730
Step 2: You get 389,017,000 as the answer. Hence, the cube of 730 is 389,017,000.
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 730 into two parts, as 700 and 30. Let a = 700 and b = 30, so a + b = 730
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term
a³ = 700³
3a²b = 3 × 700² × 30
3ab² = 3 × 700 × 30²
b³ = 30³
Step 4: Add all the terms together:
(a + b)³ = a³ + 3a²b + 3ab² + b³
(700 + 30)³ = 700³ + 3 × 700² × 30 + 3 × 700 × 30² + 30³
730³ = 343,000,000 + 44,100,000 + 18,900,000 + 27,000
730³ = 389,017,000
Step 5: Hence, the cube of 730 is 389,017,000.
To find the cube of 730 using a calculator, input the number 730 and use the cube function (if available) or multiply 730 × 730 × 730.
This operation calculates the value of 730³, resulting in 389,017,000. 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 3 and 0
Step 3: If the calculator has a cube function, press it to calculate 730³.
Step 4: If there is no cube function on the calculator, simply multiply 730 three times manually.
Step 5: The calculator will display 389,017,000.
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 730?
The cube of 730 is 389,017,000 and the cube root of 730 is approximately 8.9787.
First, let’s find the cube of 730.
We know that the cube of a number is x³ = y, where x is the given number, and y is the cubed value of that number.
So, we get 730³ = 389,017,000.
Next, we must find the cube root of 730. We know that the cube root of a number ‘x’ is ∛x = y, where ‘x’ is the given number, and y is the cube root value of the number.
So, we get ∛730 ≈ 8.9787.
Hence the cube of 730 is 389,017,000, and the cube root of 730 is approximately 8.9787.
If the side length of the cube is 730 cm, what is the volume?
The volume is 389,017,000 cm³.
Use the volume formula for a cube V = Side³.
Substitute 730 for the side length: V = 730³ = 389,017,000 cm³.
How much larger is 730³ than 700³?
730³ – 700³ = 46,017,000.
First find the cube of 730, which is 389,017,000.
Next, find the cube of 700, which is 343,000,000.
Now, find the difference between them using the subtraction method.
389,017,000 – 343,000,000 = 46,017,000.
Therefore, 730³ is 46,017,000 larger than 700³.
If a cube with a side length of 730 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 730 cm is 389,017,000 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 730 means multiplying 730 by itself three times: 730 × 730 = 532,900, and then 532,900 × 730 = 389,017,000.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 389,017,000 cm³.
Estimate the cube of 729 using the cube of 730.
The cube of 729 is approximately 387,420,489.
First, identify the cube of 730, The cube of 730 is 730³ = 389,017,000.
Since 729 is very close to 730, the cube of 729 will be slightly less than the cube of 730.
The cube of 729 is approximately 387,420,489 because the difference between 729 and 730 is very small.
However, for exact calculations, compute 729³ = 387,420,489.
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.