Last updated on May 29th, 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 364.
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 364 can be written as 364³, which is the exponential form.
Or it can also be written in arithmetic form as, 364 × 364 × 364.
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 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. 364³ = 364 × 364 × 364
Step 2: You get 48,194,944 as the answer. Hence, the cube of 364 is 48,194,944.
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 364 into two parts. Let a = 360 and b = 4, so a + b = 364
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 360³ 3a²b = 3 × 360² × 4 3ab² = 3 × 360 × 4² b³ = 4³
Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (360 + 4)³ = 360³ + 3 × 360² × 4 + 3 × 360 × 4² + 4³ 364³ = 46,656,000 + 1,555,200 + 17,280 + 64 364³ = 48,194,944
Step 5: Hence, the cube of 364 is 48,194,944.
To find the cube of 364 using a calculator, input the number 364 and use the cube function (if available) or multiply 364 × 364 × 364. This operation calculates the value of 364³, resulting in 48,194,944. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Press 3 followed by 6 and 4
Step 3: If the calculator has a cube function, press it to calculate 364³.
Step 4: If there is no cube function on the calculator, simply multiply 364 three times manually.
Step 5: The calculator will display 48,194,944.
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 364?
The cube of 364 is 48,194,944 and the cube root of 364 is approximately 7.152.
First, let’s find the cube of 364.
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 364³ = 48,194,944
Next, we must find the cube root of 364
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 ∛364 ≈ 7.152
Hence, the cube of 364 is 48,194,944 and the cube root of 364 is approximately 7.152.
If the side length of a cube is 364 cm, what is the volume?
The volume is 48,194,944 cm³.
Use the volume formula for a cube V = side³.
Substitute 364 for the side length: V = 364³ = 48,194,944 cm³.
How much larger is 364³ than 354³?
364³ – 354³ = 3,856,064.
First, find the cube of 364³, that is 48,194,944
Next, find the cube of 354³, which is 44,338,880
Now, find the difference between them using the subtraction method. 48,194,944 – 44,338,880 = 3,856,064
Therefore, 364³ is 3,856,064 larger than 354³.
If a cube with a side length of 364 cm is compared to a cube with a side length of 36 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 364 cm is 48,194,944 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 364 means multiplying 364 by itself three times: 364 × 364 = 132,496, and then 132,496 × 364 = 48,194,944.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 48,194,944 cm³.
Estimate the cube of 363.9 using the cube of 364.
The cube of 363.9 is approximately 48,194,944.
First, identify the cube of 364,
The cube of 364 is 364³ = 48,194,944.
Since 363.9 is only a tiny bit less than 364, the cube of 363.9 will be almost the same as the cube of 364.
The cube of 363.9 is approximately 48,194,944 because the difference between 363.9 and 364 is very small.
So, we can approximate the value as 48,194,944.
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.