Last updated on June 5th, 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 747.
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 747 can be written as 747³, which is the exponential form. Or it can also be written in arithmetic form as, 747 × 747 × 747.
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 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 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. 747³ = 747 × 747 × 747
Step 2: You get 416,224,523 as the answer. Hence, the cube of 747 is 416,224,523.
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 747 into two parts, as 700 and 47. Let a = 700 and b = 47, so a + b = 747
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 700³ 3a²b = 3 × 700² × 47 3ab² = 3 × 700 × 47² b³ = 47³
Step 4: Add all the terms together:
(a + b)³ = a³ + 3a²b + 3ab² + b³
(700 + 47)³ = 700³ + 3 × 700² × 47 + 3 × 700 × 47² + 47³
747³ = 343,000,000 + 69,300,000 + 46,197 + 103,823
747³ = 416,224,523
Step 5: Hence, the cube of 747 is 416,224,523.
To find the cube of 747 using a calculator, input the number 747 and use the cube function (if available) or multiply 747 × 747 × 747. This operation calculates the value of 747³, resulting in 416,224,523. 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 4 and then 7
Step 3: If the calculator has a cube function, press it to calculate 747³.
Step 4: If there is no cube function on the calculator, simply multiply 747 three times manually.
Step 5: The calculator will display 416,224,523.
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 747?
The cube of 747 is 416,224,523 and the cube root of 747 is approximately 8.994.
First, let’s find the cube of 747.
We know that the cube of a number is such that x³ = y Where x is the given number, and y is the cubed value of that number
So, we get 747³ = 416,224,523
Next, we must find the cube root of 747 We know that the cube root of a number ‘x’ is such that ³√x = y Where ‘x’ is the given number, and y is the cube root value of the number
So, we get ³√747 ≈ 8.994
Hence, the cube of 747 is 416,224,523 and the cube root of 747 is approximately 8.994.
If the side length of a cube is 747 cm, what is the volume?
The volume is 416,224,523 cm³.
Use the volume formula for a cube V = Side³.
Substitute 747 for the side length: V = 747³ = 416,224,523 cm³.
How much larger is 747³ than 700³?
747³ – 700³ = 73,224,523.
First, find the cube of 747³, which is 416,224,523
Next, find the cube of 700³, which is 343,000,000
Now, find the difference between them using the subtraction method. 416,224,523 – 343,000,000 = 73,224,523
Therefore, 747³ is 73,224,523 larger than 700³.
If a cube with a side length of 747 cm is compared to a cube with a side length of 47 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 747 cm is 416,224,523 cm³
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 747 means multiplying 747 by itself three times: 747 × 747 = 558,009, and then 558,009 × 747 = 416,224,523.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 416,224,523 cm³.
Estimate the cube of 746.9 using the cube of 747.
The cube of 746.9 is approximately 416,224,523.
First, identify the cube of 747, The cube of 747 is 747³ = 416,224,523.
Since 746.9 is only a tiny bit less than 747, the cube of 746.9 will be almost the same as the cube of 747.
The cube of 746.9 is approximately 416,224,523 because the difference between 746.9 and 747 is very small.
So, we can approximate the value as 416,224,523.
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.