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 the sizes of objects or things with cubic measurements. In this topic, we shall learn about the cube of 671.
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 671 can be written as 671³, which is the exponential form. Or it can also be written in arithmetic form as 671 × 671 × 671.
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. 671³ = 671 × 671 × 671
Step 2: You get 302,763,311 as the answer. Hence, the cube of 671 is 302,763,311.
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 671 into two parts, as 600 and 71. Let a = 600 and b = 71, so a + b = 671
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term
a³ = 600³
3a²b = 3 × 600² × 71
3ab² = 3 × 600 × 71²
b³ = 71³
Step 4: Add all the terms together:
(a + b)³ = a³ + 3a²b + 3ab² + b³
(600 + 71)³ = 600³ + 3 × 600² × 71 + 3 × 600 × 71² + 71³
671³ = 216,000,000 + 76,680,000 + 9,072,600 + 357,911
671³ = 302,763,311
Step 5: Hence, the cube of 671 is 302,763,311.
To find the cube of 671 using a calculator, input the number 671 and use the cube function (if available) or multiply 671 × 671 × 671. This operation calculates the value of 671³, resulting in 302,763,311. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Press 6 followed by 7 and then 1
Step 3: If the calculator has a cube function, press it to calculate 671³.
Step 4: If there is no cube function on the calculator, simply multiply 671 three times manually.
Step 5: The calculator will display 302,763,311.
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 671?
The cube of 671 is 302,763,311 and the cube root of 671 is approximately 8.737.
First, let’s find the cube of 671.
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 671³ = 302,763,311
Next, we must find the cube root of 671 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√671 ≈ 8.737
Hence the cube of 671 is 302,763,311 and the cube root of 671 is approximately 8.737.
If the side length of the cube is 671 cm, what is the volume?
The volume is 302,763,311 cm³.
Use the volume formula for a cube V = Side³.
Substitute 671 for the side length: V = 671³ = 302,763,311 cm³.
How much larger is 671³ than 600³?
671³ – 600³ = 86,763,311.
First find the cube of 671, which is 302,763,311
Next, find the cube of 600, which is 216,000,000
Now, find the difference between them using the subtraction method.
302,763,311 – 216,000,000 = 86,763,311
Therefore, 671³ is 86,763,311 larger than 600³.
If a cube with a side length of 671 cm is compared to a cube with a side length of 71 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 671 cm is 302,763,311 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 671 means multiplying 671 by itself three times: 671 × 671 = 450,241, and then 450,241 × 671 = 302,763,311.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 302,763,311 cm³.
Estimate the cube of 670 using the cube of 671.
The cube of 670 is approximately 302,763,311.
First, identify the cube of 671, The cube of 671 is 671³ = 302,763,311.
Since 670 is only a tiny bit less than 671, the cube of 670 will be almost the same as the cube of 671.
The cube of 670 is approximately 302,763,311 because the difference between 670 and 671 is very small.
So, we can approximate the value as 302,763,311.
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.