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 the cube of 721.
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 721 can be written as 721³, which is the exponential form. Or it can also be written in arithmetic form as 721 × 721 × 721.
In order 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 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. 721³ = 721 × 721 × 721
Step 2: You get 374,890,961 as the answer. Hence, the cube of 721 is 374,890,961.
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 721 into two parts. Let a = 700 and b = 21, so a + b = 721
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 700³ 3a²b = 3 × 700² × 21 3ab² = 3 × 700 × 21² b³ = 21³
Step 4: Add all the terms together
(a + b)³ = a³ + 3a²b + 3ab² + b³
(700 + 21)³ = 700³ + 3 × 700² × 21 + 3 × 700 × 21² + 21³
721³ = 343,000,000 + 30,870,000 + 9,261,000 + 9,261
721³ = 374,890,961
Step 5: Hence, the cube of 721 is 374,890,961.
To find the cube of 721 using a calculator, input the number 721 and use the cube function (if available) or multiply 721 × 721 × 721. This operation calculates the value of 721³, resulting in 374,890,961. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Enter 7 followed by 2 and 1.
Step 3: If the calculator has a cube function, press it to calculate 721³.
Step 4: If there is no cube function on the calculator, simply multiply 721 three times manually.
Step 5: The calculator will display 374,890,961.
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 721?
The cube of 721 is 374,890,961 and the cube root of 721 is approximately 8.944.
First, let’s find the cube of 721.
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 721³ = 374,890,961.
Next, we must find the cube root of 721. We know that the cube root of a number ‘x’ is 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√721 ≈ 8.944.
Hence, the cube of 721 is 374,890,961 and the cube root of 721 is approximately 8.944.
If the side length of a cube is 721 cm, what is the volume?
The volume is 374,890,961 cm³.
Use the volume formula for a cube V = Side³.
Substitute 721 for the side length: V = 721³ = 374,890,961 cm³.
How much larger is 721³ than 500³?
721³ – 500³ = 344,890,961.
First, find the cube of 721, which is 374,890,961.
Next, find the cube of 500, which is 125,000,000.
Now, find the difference between them using the subtraction method. 374,890,961 – 125,000,000 = 249,890,961.
Therefore, 721³ is 249,890,961 larger than 500³.
If a cube with a side length of 721 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 721 cm is 374,890,961 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 721 means multiplying 721 by itself three times: 721 × 721 = 519,841, and then 519,841 × 721 = 374,890,961.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 374,890,961 cm³.
Estimate the cube of 720 using the cube of 721.
The cube of 720 is approximately 373,248,000.
First, identify the cube of 721, The cube of 721 is 721³ = 374,890,961.
Since 720 is only a tiny bit less than 721, the cube of 720 will be slightly less than the cube of 721.
The cube of 720 is approximately 373,248,000 because the difference between 720 and 721 is small, but noticeable when cubed.
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.