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 when comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about cubes of 716.
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 716 can be written as 716³, which is the exponential form. Or it can also be written in arithmetic form as, 716 × 716 × 716.
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 methods help in cubing numbers faster and easier without confusion or difficulty in evaluating the answers.
The multiplication method in mathematics is 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. 716³ = 716 × 716 × 716
Step 2: You get 367,034,656 as the answer. Hence, the cube of 716 is 367,034,656.
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 716 into two parts, as needed. Let a = 700 and b = 16, so a + b = 716
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term
a³ = 700³
3a²b = 3 × 700² × 16
3ab² = 3 × 700 × 16²
b³ = 16³
Step 4: Add all the terms together:
(a + b)³ = a³ + 3a²b + 3ab² + b³
(700 + 16)³ = 700³ + 3 × 700² × 16 + 3 × 700 × 16² + 16³
716³ = 343,000,000 + 235,200 + 537,600 + 4,096
716³ = 367,034,656
Step 5: Hence, the cube of 716 is 367,034,656.
To find the cube of 716 using a calculator, input the number 716 and use the cube function (if available) or multiply 716 × 716 × 716. This operation calculates the value of 716³, resulting in 367,034,656. 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 6.
Step 3: If the calculator has a cube function, press it to calculate 716³.
Step 4: If there is no cube function on the calculator, simply multiply 716 three times manually.
Step 5: The calculator will display 367,034,656.
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 occur:
What is the cube and cube root of 716?
The cube of 716 is 367,034,656 and the cube root of 716 is approximately 8.944.
First, let’s find the cube of 716.
We know that the cube of a number is obtained as x³ = y Where x is the given number, and y is the cubed value of that number
So, we get 716³ = 367,034,656
Next, we must find the cube root of 716. 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 ∛716 ≈ 8.944
Hence, the cube of 716 is 367,034,656 and the cube root of 716 is approximately 8.944.
If the side length of the cube is 716 cm, what is the volume?
The volume is 367,034,656 cm³.
Use the volume formula for a cube V = Side³.
Substitute 716 for the side length: V = 716³ = 367,034,656 cm³.
How much larger is 716³ than 700³?
716³ – 700³ = 24,034,656.
First find the cube of 716³, which is 367,034,656.
Next, find the cube of 700³, which is 343,000,000.
Now, find the difference between them using the subtraction method. 367,034,656 – 343,000,000 = 24,034,656
Therefore, 716³ is 24,034,656 larger than 700³.
If a cube with a side length of 716 cm is compared to a cube with a side length of 16 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 716 cm is 367,034,656 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 716 means multiplying 716 by itself three times: 716 × 716 = 512,656, and then 512,656 × 716 = 367,034,656.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 367,034,656 cm³.
Estimate the cube of 715.5 using the cube of 716.
The cube of 715.5 is approximately 367,034,656.
First, identify the cube of 716.
The cube of 716 is 716³ = 367,034,656.
Since 715.5 is very close to 716, the cube of 715.5 will be almost the same as the cube of 716.
The cube of 715.5 is approximately 367,034,656 because the difference between 715.5 and 716 is very small.
So, we can approximate the value as 367,034,656.
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.