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 while comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about cubes of 367.
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 367 can be written as 367³, which is the exponential form.
Or it can also be written in arithmetic form as, 367 × 367 × 367.
In order to check whether a number is a cube number or not, we can use the following three methods: the multiplication method, a factor formula (a³), or by using a calculator. These three methods will help kids to cube the numbers faster and more easily without feeling confused or stuck while 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. 367³ = 367 × 367 × 367
Step 2: You get 49,319,263 as the answer. Hence, the cube of 367 is 49,319,263.
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 367 into two parts, as 360 and 7. Let a = 360 and b = 7, so a + b = 367
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 360³ 3a²b = 3 × 360² × 7 3ab² = 3 × 360 × 7² b³ = 7³
Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (360 + 7)³ = 360³ + 3 × 360² × 7 + 3 × 360 × 7² + 7³ 367³ = 46,656,000 + 27,216 + 52,920 + 343 367³ = 49,319,263
Step 5: Hence, the cube of 367 is 49,319,263.
To find the cube of 367 using a calculator, input the number 367 and use the cube function (if available) or multiply 367 × 367 × 367. This operation calculates the value of 367³, resulting in 49,319,263. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Press 3, 6, followed by 7.
Step 3: If the calculator has a cube function, press it to calculate 367³.
Step 4: If there is no cube function on the calculator, simply multiply 367 three times manually.
Step 5: The calculator will display 49,319,263.
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 367?
The cube of 367 is 49,319,263 and the cube root of 367 is approximately 7.156.
First, let’s find the cube of 367.
We know that the cube of a number is given by \( x^3 = y \), where \( x \) is the given number and \( y \) is the cubed value of that number.
So, we get 367³ = 49,319,263. Next, we must find the cube root of 367.
We know that the cube root of a number \( x \) is given by \( \sqrt[3]{x} = y \), where \( x \) is the given number and \( y \) is the cube root value of the number.
So, we get \( \sqrt[3]{367} \approx 7.156 \).
Hence the cube of 367 is 49,319,263 and the cube root of 367 is approximately 7.156.
If the side length of the cube is 367 cm, what is the volume?
The volume is 49,319,263 cm³.
Use the volume formula for a cube \( V = \text{Side}^3 \).
Substitute 367 for the side length: \( V = 367^3 = 49,319,263 \) cm³.
How much larger is 367³ than 360³?
367³ – 360³ = 2,663,263.
First find the cube of 367³, which is 49,319,263.
Next, find the cube of 360³, which is 46,656,000.
Now, find the difference between them using the subtraction method. 49,319,263 – 46,656,000 = 2,663,263.
Therefore, 367³ is 2,663,263 larger than 360³.
If a cube with a side length of 367 cm is compared to a cube with a side length of 70 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 367 cm is 49,319,263 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 367 means multiplying 367 by itself three times: 367 × 367 = 134,689, and then 134,689 × 367 = 49,319,263.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 49,319,263 cm³.
Estimate the cube of 366.9 using the cube of 367.
The cube of 366.9 is approximately 49,319,263.
First, identify the cube of 367,
The cube of 367 is 367³ = 49,319,263.
Since 366.9 is only a tiny bit less than 367, the cube of 366.9 will be almost the same as the cube of 367.
The cube of 366.9 is approximately 49,319,263 because the difference between 366.9 and 367 is very small.
So, we can approximate the value as 49,319,263.
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.