Last updated on June 1st, 2025
When a number is multiplied by itself thrice, the resultant number is called the cube of a number. Cubing is used while comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about the cube of 385.
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 385 can be written as 385³, which is the exponential form.
Or it can also be written in arithmetic form as, 385 × 385 × 385.
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. 385³ = 385 × 385 × 385
Step 2: You get 57,004,625 as the answer. Hence, the cube of 385 is 57,004,625.
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 385 into two parts. Let a = 300 and b = 85, so a + b = 385
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 300³ 3a²b = 3 × 300² × 85 3ab² = 3 × 300 × 85² b³ = 85³
Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (300 + 85)³ = 300³ + 3 × 300² × 85 + 3 × 300 × 85² + 85³ 385³ = 27,000,000 + 22,950,000 + 6,502,500 + 614,125 385³ = 57,004,625
Step 5: Hence, the cube of 385 is 57,004,625.
To find the cube of 385 using a calculator, input the number 385 and use the cube function (if available) or multiply 385 × 385 × 385. This operation calculates the value of 385³, resulting in 57,004,625. 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 8 and then 5
Step 3: If the calculator has a cube function, press it to calculate 385³.
Step 4: If there is no cube function on the calculator, simply multiply 385 three times manually.
Step 5: The calculator will display 57,004,625.
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 385?
The cube of 385 is 57,004,625 and the cube root of 385 is approximately 7.253.
First, let’s find the cube of 385.
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 385³ = 57,004,625
Next, we must find the cube root of 385
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 ∛385 ≈ 7.253
Hence, the cube of 385 is 57,004,625 and the cube root of 385 is approximately 7.253.
If the side length of the cube is 385 cm, what is the volume?
The volume is 57,004,625 cm³.
Use the volume formula for a cube V = Side³.
Substitute 385 for the side length: V = 385³ = 57,004,625 cm³.
How much larger is 385³ than 300³?
385³ – 300³ = 30,004,625.
First find the cube of 385, that is 57,004,625
Next, find the cube of 300, which is 27,000,000
Now, find the difference between them using the subtraction method. 57,004,625 – 27,000,000 = 30,004,625
Therefore, 385³ is 30,004,625 larger than 300³.
If a cube with a side length of 385 cm is compared to a cube with a side length of 85 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 385 cm is 57,004,625 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 385 means multiplying 385 by itself three times: 385 × 385 = 148,225, and then 148,225 × 385 = 57,004,625.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 57,004,625 cm³.
Estimate the cube of 384.9 using the cube of 385.
The cube of 384.9 is approximately 57,004,625.
First, identify the cube of 385,
The cube of 385 is 385³ = 57,004,625.
Since 384.9 is only a tiny bit less than 385, the cube of 384.9 will be almost the same as the cube of 385.
The cube of 384.9 is approximately 57,004,625 because the difference between 384.9 and 385 is very small.
So, we can approximate the value as 57,004,625.
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.