Last updated on May 28th, 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 73.
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 73 can be written as 73³, which is the exponential form.
Or it can also be written in arithmetic form as, 73 × 73 × 73.
In order to check whether a number is a cube number or not, we can use the following three methods, such as 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. 73³ = 73 × 73 × 73
Step 2: You get 389,017 as the answer.
Hence, the cube of 73 is 389,017.
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 73 into two parts, as 70 and 3. Let a = 70 and b = 3, so a + b = 73
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 70³ 3a²b = 3 × 70² × 3 3ab² = 3 × 70 × 3² b³ = 3³
Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (70 + 3)³ = 70³ + 3 × 70² × 3 + 3 × 70 × 3² + 3³ 73³ = 343,000 + 44,100 + 1,890 + 27 73³ = 389,017
Step 5: Hence, the cube of 73 is 389,017.
To find the cube of 73 using a calculator, input the number 73 and use the cube function (if available) or multiply 73 × 73 × 73. This operation calculates the value of 73³, resulting in 389,017. 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 3
Step 3: If the calculator has a cube function, press it to calculate 73³.
Step 4: If there is no cube function on the calculator, simply multiply 73 three times manually.
Step 5: The calculator will display 389,017.
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 73?
The cube of 73 is 389,017 and the cube root of 73 is approximately 4.197.
First, let’s find the cube of 73.
We know that 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 73³ = 389,017 Next, we must find the cube root of 73.
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 ∛73 ≈ 4.197
Hence the cube of 73 is 389,017 and the cube root of 73 is approximately 4.197.
If the side length of the cube is 73 cm, what is the volume?
The volume is 389,017 cm³.
Use the volume formula for a cube V = Side³.
Substitute 73 for the side length: V = 73³ = 389,017 cm³.
How much larger is 73³ than 63³?
73³ – 63³ = 191,744.
First find the cube of 73³, that is 389,017
Next, find the cube of 63³, which is 197,273
Now, find the difference between them using the subtraction method. 389,017 – 197,273 = 191,744
Therefore, the 73³ is 191,744 larger than 63³.
If a cube with a side length of 73 cm is compared to a cube with a side length of 23 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 73 cm is 389,017 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 73 means multiplying 73 by itself three times: 73 × 73 = 5,329, and then 5,329 × 73 = 389,017.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 389,017 cm³.
Estimate the cube 72.9 using the cube 73.
The cube of 72.9 is approximately 389,017.
First, identify the cube of 73,
The cube of 73 is 73³ = 389,017.
Since 72.9 is only a tiny bit less than 73, the cube of 72.9 will be almost the same as the cube of 73.
The cube of 72.9 is approximately 389,017 because the difference between 72.9 and 73 is very small.
So, we can approximate the value as 389,017.
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.