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 sizes of objects or things with cubic measurements. In this topic, we shall learn about cubes of 715.
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 715 can be written as 715³, which is the exponential form. Or it can also be written in arithmetic form as, 715 × 715 × 715.
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 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. 715³ = 715 × 715 × 715
Step 2: You get 365,768,375 as the answer. Hence, the cube of 715 is 365,768,375.
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 715 into two parts, as 700 and 15. Let a = 700 and b = 15, so a + b = 715
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term
a³ = 700³
3a²b = 3 × 700² × 15
3ab² = 3 × 700 × 15²
b³ = 15³
Step 4: Add all the terms together:
(a + b)³ = a³ + 3a²b + 3ab² + b³
(700 + 15)³ = 700³ + 3 × 700² × 15 + 3 × 700 × 15² + 15³
715³ = 343,000,000 + 22,050,000 + 157,500 + 3,375
715³ = 365,768,375
Step 5: Hence, the cube of 715 is 365,768,375.
To find the cube of 715 using a calculator, input the number 715 and use the cube function (if available) or multiply 715 × 715 × 715. This operation calculates the value of 715³, resulting in 365,768,375. 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 1 and 5
Step 3: If the calculator has a cube function, press it to calculate 715³.
Step 4: If there is no cube function on the calculator, simply multiply 715 three times manually.
Step 5: The calculator will display 365,768,375.
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 715?
The cube of 715 is 365,768,375 and the cube root of 715 is approximately 8.930.
First, let’s find the cube of 715.
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 715³ = 365,768,375
Next, we must find the cube root of 715 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√715 ≈ 8.930
Hence, the cube of 715 is 365,768,375 and the cube root of 715 is approximately 8.930.
If the side length of the cube is 715 cm, what is the volume?
The volume is 365,768,375 cm³.
Use the volume formula for a cube V = Side³.
Substitute 715 for the side length: V = 715³ = 365,768,375 cm³.
How much larger is 715³ than 600³?
715³ – 600³ = 213,768,375.
First, find the cube of 715, which is 365,768,375.
Next, find the cube of 600, which is 216,000,000.
Now, find the difference between them using the subtraction method. 365,768,375 – 216,000,000 = 149,768,375
Therefore, 715³ is 149,768,375 larger than 600³.
If a cube with a side length of 715 cm is compared to a cube with a side length of 150 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 715 cm is 365,768,375 cm³
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 715 means multiplying 715 by itself three times: 715 × 715 = 511,225, and then 511,225 × 715 = 365,768,375.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 365,768,375 cm³.
Estimate the cube of 714.9 using the cube of 715.
The cube of 714.9 is approximately 365,768,375.
First, identify the cube of 715.
The cube of 715 is 715³ = 365,768,375.
Since 714.9 is only a tiny bit less than 715, the cube of 714.9 will be almost the same as the cube of 715.
The cube of 714.9 is approximately 365,768,375 because the difference between 714.9 and 715 is very small.
So, we can approximate the value as 365,768,375.
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.