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 711.
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 711 can be written as 711³, which is the exponential form. Or it can also be written in arithmetic form as, 711 × 711 × 711.
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. 711³ = 711 × 711 × 711
Step 2: You get 359,251,671 as the answer. Hence, the cube of 711 is 359,251,671.
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 711 into two parts, as 700 and 11. Let a = 700 and b = 11, so a + b = 711
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term
a³ = 700³
3a²b = 3 × 700² × 11
3ab² = 3 × 700 × 11²
b³ = 11³
Step 4: Add all the terms together:
(a + b)³ = a³ + 3a²b + 3ab² + b³
(700 + 11)³ = 700³ + 3 × 700² × 11 + 3 × 700 × 11² + 11³
711³ = 343,000,000 + 161,700 + 25,410 + 1,331
711³ = 359,251,671
Step 5: Hence, the cube of 711 is 359,251,671.
To find the cube of 711 using a calculator, input the number 711 and use the cube function (if available) or multiply 711 × 711 × 711. This operation calculates the value of 711³, resulting in 359,251,671. 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 then 1
Step 3: If the calculator has a cube function, press it to calculate 711³.
Step 4: If there is no cube function on the calculator, simply multiply 711 three times manually.
Step 5: The calculator will display 359,251,671.
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 711?
The cube of 711 is 359,251,671 and the cube root of 711 is approximately 8.94.
First, let’s find the cube of 711.
We know that the cube of a number is x³ = y Where x is the given number, and y is the cubed value of that number.
So, we get 711³ = 359,251,671.
Next, we must find the cube root of 711.
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√711 ≈ 8.94.
Hence the cube of 711 is 359,251,671 and the cube root of 711 is approximately 8.94.
If the side length of a cube is 711 cm, what is the volume?
The volume is 359,251,671 cm³.
Use the volume formula for a cube V = Side³.
Substitute 711 for the side length: V = 711³ = 359,251,671 cm³.
How much larger is 711³ than 700³?
711³ – 700³ = 16,251,671.
First, find the cube of 711³, that is 359,251,671.
Next, find the cube of 700³, which is 343,000,000.
Now, find the difference between them using the subtraction method.
359,251,671 – 343,000,000 = 16,251,671.
Therefore, 711³ is 16,251,671 larger than 700³.
If a cube with a side length of 711 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 711 cm is 359,251,671 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 711 means multiplying 711 by itself three times: 711 × 711 = 505,521, and then 505,521 × 711 = 359,251,671.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 359,251,671 cm³.
Estimate the cube of 710 using the cube of 711.
The cube of 710 is approximately 357,911,000.
First, identify the cube of 711, The cube of 711 is 711³ = 359,251,671.
Since 710 is only a tiny bit less than 711, the cube of 710 will be almost the same as the cube of 711.
The cube of 710 is approximately 357,911,000 because the difference between 710 and 711 is very small.
So, we can approximate the value as 357,911,000.
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.