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 720.
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 multiplied by itself three times results in a negative number.
The cube of 720 can be written as 720³, which is the exponential form. Or it can also be written in arithmetic form as, 720 × 720 × 720.
To determine 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 to cube the numbers faster and easier without confusion or getting stuck while evaluating the answers.
The multiplication method is a process in mathematics used to find the product of numbers 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. 720³ = 720 × 720 × 720
Step 2: You get 373,248,000 as the answer. Hence, the cube of 720 is 373,248,000.
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 720 into two parts, as and . Let a = 700 and b = 20, so a + b = 720
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term
a³ = 700³
3a²b = 3 × 700² × 20
3ab² = 3 × 700 × 20²
b³ = 20³
Step 4: Add all the terms together:
(a + b)³ = a³ + 3a²b + 3ab² + b³
(700 + 20)³ = 700³ + 3 × 700² × 20 + 3 × 700 × 20² + 20³
720³ = 343,000,000 + 29,400,000 + 8,400,000 + 8,000
720³ = 373,248,000
Step 5: Hence, the cube of 720 is 373,248,000.
To find the cube of 720 using a calculator, input the number 720 and use the cube function (if available) or multiply 720 × 720 × 720. This operation calculates the value of 720³, resulting in 373,248,000. 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 2, then 0
Step 3: If the calculator has a cube function, press it to calculate 720³.
Step 4: If there is no cube function on the calculator, simply multiply 720 three times manually.
Step 5: The calculator will display 373,248,000.
There are some typical errors that might occur during the process of cubing a number. Let us take a look at five of the major mistakes that might be made:
What is the cube and cube root of 720?
The cube of 720 is 373,248,000 and the cube root of 720 is approximately 8.894.
First, let’s find the cube of 720.
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 720³ = 373,248,000
Next, we must find the cube root of 720 We know that the cube root of a number ‘x’, such that ∛x = y Where ‘x’ is the given number, and y is the cube root value of the number
So, we get ∛720 ≈ 8.894
Hence the cube of 720 is 373,248,000 and the cube root of 720 is approximately 8.894.
If the side length of the cube is 720 cm, what is the volume?
The volume is 373,248,000 cm³.
Use the volume formula for a cube V = Side³.
Substitute 720 for the side length: V = 720³ = 373,248,000 cm³.
How much larger is 720³ than 700³?
720³ – 700³ = 30,248,000.
First, find the cube of 720³, which is 373,248,000
Next, find the cube of 700³, which is 343,000,000
Now, find the difference between them using the subtraction method.
373,248,000 – 343,000,000 = 30,248,000
Therefore, 720³ is 30,248,000 larger than 700³.
If a cube with a side length of 720 cm is compared to a cube with a side length of 200 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 720 cm is 373,248,000 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 720 means multiplying 720 by itself three times: 720 × 720 = 518,400, and then 518,400 × 720 = 373,248,000.
The unit of volume is cubic centimeters (cm³) because we are calculating the space inside the cube.
Therefore, the volume of the cube is 373,248,000 cm³.
Estimate the cube of 719 using the cube of 720.
The cube of 719 is approximately 373,248,000.
First, identify the cube of 720, The cube of 720 is 720³ = 373,248,000.
Since 719 is only a tiny bit less than 720, the cube of 719 will be almost the same as the cube of 720.
The cube of 719 is approximately 373,248,000 because the difference between 719 and 720 is very small.
So, we can approximate the value as 373,248,000.
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.