Last updated on June 3rd, 2025
When a number is multiplied by itself thrice, the resultant number is called the cube of a number. Cubing is used while comparing the sizes of objects or things with cubic measurements. In this topic, we shall learn about the cube of 722.
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 722 can be written as 722³, which is the exponential form. Or it can also be written in arithmetic form as, 722 × 722 × 722.
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. 722³ = 722 × 722 × 722
Step 2: You get 376,953,848 as the answer. Hence, the cube of 722 is 376,953,848.
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 722 into two parts, as a and b. Let a = 720 and b = 2, so a + b = 722
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term
a³ = 720³
3a²b = 3 × 720² × 2
3ab² = 3 × 720 × 2²
b³ = 2³
Step 4: Add all the terms together:
(a + b)³ = a³ + 3a²b + 3ab² + b³
(720 + 2)³ = 720³ + 3 × 720² × 2 + 3 × 720 × 4 + 8
722³ = 373,248,000 + 3,110,400 + 4,320 + 8
722³ = 376,953,848
Step 5: Hence, the cube of 722 is 376,953,848.
To find the cube of 722 using a calculator, input the number 722 and use the cube function (if available) or multiply 722 × 722 × 722. This operation calculates the value of 722³, resulting in 376,953,848. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Enter 722
Step 3: If the calculator has a cube function, press it to calculate 722³.
Step 4: If there is no cube function on the calculator, simply multiply 722 three times manually.
Step 5: The calculator will display 376,953,848.
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 722?
The cube of 722 is 376,953,848 and the cube root of 722 is approximately 8.997.
First, let’s find the cube of 722.
We know that the cube of a number is such that x³ = y, where x is the given number, and y is the cubed value of that number.
So, we get 722³ = 376,953,848
Next, we must find the cube root of 722. We know that the cube root of a number ‘x’ is such that ∛x = y, where ‘x’ is the given number, and y is the cube root value of the number.
So, we get ∛722 ≈ 8.997
Hence the cube of 722 is 376,953,848 and the cube root of 722 is approximately 8.997.
If the side length of the cube is 722 cm, what is the volume?
The volume is 376,953,848 cm³.
Use the volume formula for a cube V = Side³.
Substitute 722 for the side length: V = 722³ = 376,953,848 cm³.
How much larger is 722³ than 700³?
722³ – 700³ = 46,353,848.
First find the cube of 722, which is 376,953,848.
Next, find the cube of 700, which is 343,000,000.
Now, find the difference between them using the subtraction method.
376,953,848 – 343,000,000 = 46,353,848
Therefore, 722³ is 46,353,848 larger than 700³.
If a cube with a side length of 722 cm is compared to a cube with a side length of 20 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 722 cm is 376,953,848 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 722 means multiplying 722 by itself three times: 722 × 722 = 521,284, and then 521,284 × 722 = 376,953,848.
The unit of volume is cubic centimeters (cm³) because we are calculating the space inside the cube.
Therefore, the volume of the cube is 376,953,848 cm³.
Estimate the cube of 721.9 using the cube of 722.
The cube of 721.9 is approximately 376,953,848.
First, identify the cube of 722, The cube of 722 is 722³ = 376,953,848.
Since 721.9 is only a tiny bit less than 722, the cube of 721.9 will be almost the same as the cube of 722.
The cube of 721.9 is approximately 376,953,848 because the difference between 721.9 and 722 is very small.
So, we can approximate the value as 376,953,848.
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.