Last updated on May 30th, 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 247.
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 247 can be written as 247³, which is the exponential form, or it can also be written in arithmetic form as 247 × 247 × 247.
To determine whether a number is a cube number, 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 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. 247³ = 247 × 247 × 247
Step 2: You get 15,036,823 as the answer.
Hence, the cube of 247 is 15,036,823.
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 247 into two parts. Let a = 240 and b = 7, so a + b = 247
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 240³ 3a²b = 3 × 240² × 7 3ab² = 3 × 240 × 7² b³ = 7³
Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (240 + 7)³ = 240³ + 3 × 240² × 7 + 3 × 240 × 7² + 7³ 247³ = 13,824,000 + 352,800 + 35,280 + 343 247³ = 15,036,823
Step 5: Hence, the cube of 247 is 15,036,823.
To find the cube of 247 using a calculator, input the number 247 and use the cube function (if available) or multiply 247 × 247 × 247. This operation calculates the value of 247³, resulting in 15,036,823. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Press 2 followed by 4 and 7
Step 3: If the calculator has a cube function, press it to calculate 247³.
Step 4: If there is no cube function on the calculator, simply multiply 247 three times manually.
Step 5: The calculator will display 15,036,823.
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 247?
The cube of 247 is 15,036,823 and the cube root of 247 is approximately 6.288.
First, let’s find the cube of 247.
We know that the cube of a number is x³ = y
Where x is the given number, and y is the cubed value of that number So, we get 247³ = 15,036,823
Next, we must find the cube root of 247
We know that the cube root of a number ‘x’ is such that ∛x = y
Where ‘x’ is the given number, and y is the cube root value of the number
So, we get ∛247 ≈ 6.288
Hence the cube of 247 is 15,036,823 and the cube root of 247 is approximately 6.288.
If the side length of the cube is 247 cm, what is the volume?
The volume is 15,036,823 cm³.
Use the volume formula for a cube V = Side³.
Substitute 247 for the side length: V = 247³ = 15,036,823 cm³.
How much larger is 247³ than 150³?
247³ – 150³ = 11,361,573.
First find the cube of 247³, which is 15,036,823
Next, find the cube of 150³, which is 3,375,250
Now, find the difference between them using the subtraction method. 15,036,823 – 3,675,250 = 11,361,573
Therefore, 247³ is 11,361,573 larger than 150³.
If a cube with a side length of 247 cm is compared to a cube with a side length of 50 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 247 cm is 15,036,823 cm³, which is significantly larger than the volume of the cube with a side length of 50 cm.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 247 means multiplying 247 by itself three times: 247 × 247 = 61,009, and then 61,009 × 247 = 15,036,823.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 15,036,823 cm³.
Estimate the cube of 246.9 using the cube of 247.
The cube of 246.9 is approximately 15,036,823.
First, identify the cube of 247.
The cube of 247 is 247³ = 15,036,823.
Since 246.9 is only a tiny bit less than 247, the cube of 246.9 will be almost the same as the cube of 247.
The cube of 246.9 is approximately 15,036,823 because the difference between 246.9 and 247 is very small.
So, we can approximate the value as 15,036,823.
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.