Last updated on June 5th, 2025
When a number is multiplied by itself three times, the resultant number is called the cube of a number. Cubing is often used when comparing sizes of objects with cubic measurements. In this topic, we shall learn about the cube of 744.
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 multiplying a negative number by itself three times results in a negative number.
The cube of 744 can be written as 744³, which is the exponential form. Or it can also be written in arithmetic form as 744 × 744 × 744.
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 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 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. 744³ = 744 × 744 × 744
Step 2: Calculate the product to get the result. Hence, the cube of 744 is 411,505,344.
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 744 into two parts. Let a = 700 and b = 44, so a + b = 744
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term
a³ = 700³
3a²b = 3 × 700² × 44
3ab² = 3 × 700 × 44²
b³ = 44³
Step 4: Add all the terms together:
(a + b)³ = a³ + 3a²b + 3ab² + b³
(700 + 44)³ = 700³ + 3 × 700² × 44 + 3 × 700 × 44² + 44³
744³ = 343,000,000 + 64,680,000 + 4,083,200 + 85,184
744³ = 411,505,344
Step 5: Hence, the cube of 744 is 411,505,344.
To find the cube of 744 using a calculator, input the number 744 and use the cube function (if available) or multiply 744 × 744 × 744. This operation calculates the value of 744³, resulting in 411,505,344. 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 4
Step 3: If the calculator has a cube function, press it to calculate 744³.
Step 4: If there is no cube function on the calculator, simply multiply 744 three times manually.
Step 5: The calculator will display 411,505,344.
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 744?
The cube of 744 is 411,505,344 and the cube root of 744 is approximately 8.997.
First, let’s find the cube of 744.
We know that the 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 744³ = 411,505,344
Next, we must find the cube root of 744. We know that the 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 ∛744 ≈ 8.997
Hence, the cube of 744 is 411,505,344 and the cube root of 744 is approximately 8.997.
If the side length of the cube is 744 cm, what is the volume?
The volume is 411,505,344 cm³.
Use the volume formula for a cube V = Side³.
Substitute 744 for the side length: V = 744³ = 411,505,344 cm³.
How much larger is 744³ than 700³?
744³ – 700³ = 68,505,344.
First, find the cube of 744, which is 411,505,344.
Next, find the cube of 700, which is 343,000,000.
Now, find the difference between them using the subtraction method. 411,505,344 – 343,000,000 = 68,505,344
Therefore, 744³ is 68,505,344 larger than 700³.
If a cube with a side length of 744 cm is compared to a cube with a side length of 100 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 744 cm is 411,505,344 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 744 means multiplying 744 by itself three times: 744 × 744 = 553,536, and then 553,536 × 744 = 411,505,344.
The unit of volume is cubic centimeters (cm³) because we are calculating the space inside the cube.
Therefore, the volume of the cube is 411,505,344 cm³.
Estimate the cube of 743.9 using the cube of 744.
The cube of 743.9 is approximately 411,505,344.
First, identify the cube of 744.
The cube of 744 is 744³ = 411,505,344.
Since 743.9 is only a tiny bit less than 744, the cube of 743.9 will be almost the same as the cube of 744.
The cube of 743.9 is approximately 411,505,344 because the difference between 743.9 and 744 is very small.
So, we can approximate the value as 411,505,344.
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.