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 673.
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 673 can be written as 673³, which is the exponential form. Or it can also be written in arithmetic form as, 673 × 673 × 673.
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 will help calculate the cube of numbers faster and easier without confusion or errors in evaluating the answers.
The multiplication method is a process in mathematics used to find the product of 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. 673³ = 673 × 673 × 673
Step 2: You get 305,454,017 as the answer. Hence, the cube of 673 is 305,454,017.
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 673 into two parts. Let a = 670 and b = 3, so a + b = 673
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term
a³ = 670³
3a²b = 3 × 670² × 3
3ab² = 3 × 670 × 3²
b³ = 3³
Step 4: Add all the terms together:
(a + b)³ = a³ + 3a²b + 3ab² + b³
(670 + 3)³ = 670³ + 3 × 670² × 3 + 3 × 670 × 3² + 3³
673³ = 301,430,000 + 4,330,200 + 18,090 + 27
673³ = 305,454,317
Step 5: Hence, the cube of 673 is 305,454,317.
To find the cube of 673 using a calculator, input the number 673 and use the cube function (if available) or multiply 673 × 673 × 673. This operation calculates the value of 673³, resulting in 305,454,017. 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 3
Step 3: If the calculator has a cube function, press it to calculate 673³.
Step 4: If there is no cube function on the calculator, simply multiply 673 three times manually.
Step 5: The calculator will display 305,454,017.
There are some typical errors that might occur during the process of cubing a number. Let us take a look at five major mistakes that might happen:
What is the cube and cube root of 673?
The cube of 673 is 305,454,017 and the cube root of 673 is approximately 8.781.
First, let’s find the cube of 673.
We know that the cube of a number x, such that x³ = y Where x is the given number, and y is the cubed value of that number
So, we get 673³ = 305,454,017
Next, we must find the cube root of 673 We know that 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 ∛673 ≈ 8.781
Hence the cube of 673 is 305,454,017 and the cube root of 673 is approximately 8.781.
If the side length of the cube is 673 cm, what is the volume?
The volume is 305,454,017 cm³.
Use the volume formula for a cube V = Side³.
Substitute 673 for the side length: V = 673³ = 305,454,017 cm³.
How much larger is 673³ than 670³?
673³ – 670³ = 4,024,017.
First, find the cube of 673³, which is 305,454,017
Next, find the cube of 670³, which is 301,430,000
Now, find the difference between them using the subtraction method.
305,454,017 – 301,430,000 = 4,024,017
Therefore, the 673³ is 4,024,017 larger than 670³.
If a cube with a side length of 673 cm is compared to a cube with a side length of 3 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 673 cm is 305,454,017 cm³
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 673 means multiplying 673 by itself three times: 673 × 673 × 673 = 305,454,017
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 305,454,017 cm³.
Estimate the cube of 672.9 using the cube of 673.
The cube of 672.9 is approximately 305,454,017.
First, identify the cube of 673, The cube of 673 is 673³ = 305,454,017.
Since 672.9 is only a tiny bit less than 673, the cube of 672.9 will be almost the same as the cube of 673.
The cube of 672.9 is approximately 305,454,017 because the difference between 672.9 and 673 is very small.
So, we can approximate the value as 305,454,017.
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.