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 while comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about the cube of 746.
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 746 can be written as 746³, which is the exponential form. Or it can also be written in arithmetic form as 746 × 746 × 746.
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 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. 746³ = 746 × 746 × 746
Step 2: You get 415,915,736 as the answer. Hence, the cube of 746 is 415,915,736.
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 746 into two parts, as 700 and 46. Let a = 700 and b = 46, so a + b = 746
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term
a³ = 700³
3a²b = 3 × 700² × 46
3ab² = 3 × 700 × 46²
b³ = 46³
Step 4: Add all the terms together:
(a + b)³ = a³ + 3a²b + 3ab² + b³
(700 + 46)³ = 700³ + 3 × 700² × 46 + 3 × 700 × 46² + 46³
746³ = 343,000,000 + 67,620,000 + 44,268,000 + 97,736
746³ = 415,915,736
Step 5: Hence, the cube of 746 is 415,915,736.
To find the cube of 746 using a calculator, input the number 746 and use the cube function (if available) or multiply 746 × 746 × 746. This operation calculates the value of 746³, resulting in 415,915,736. 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 6
Step 3: If the calculator has a cube function, press it to calculate 746³.
Step 4: If there is no cube function on the calculator, simply multiply 746 three times manually.
Step 5: The calculator will display 415,915,736.
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 746?
The cube of 746 is 415,915,736 and the cube root of 746 is approximately 8.987.
First, let’s find the cube of 746.
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 746³ = 415,915,736
Next, we must find the cube root of 746 We know that the cube root of a number ‘x’, 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√746 = 8.987
Hence the cube of 746 is 415,915,736 and the cube root of 746 is approximately 8.987.
If the side length of the cube is 746 cm, what is the volume?
The volume is 415,915,736 cm³.
Use the volume formula for a cube V = Side³.
Substitute 746 for the side length: V = 746³ = 415,915,736 cm³.
How much larger is 746³ than 700³?
746³ – 700³ = 72,915,736.
First find the cube of 746, that is 415,915,736
Next, find the cube of 700, which is 343,000,000
Now, find the difference between them using the subtraction method. 415,915,736 – 343,000,000 = 72,915,736
Therefore, 746³ is 72,915,736 larger than 700³.
If a cube with a side length of 746 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 746 cm is 415,915,736 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 746 means multiplying 746 by itself three times: 746 × 746 = 556,516, and then 556,516 × 746 = 415,915,736.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 415,915,736 cm³.
Estimate the cube 745.9 using the cube 746.
The cube of 745.9 is approximately 415,915,736.
First, identify the cube of 746, The cube of 746 is 746³ = 415,915,736.
Since 745.9 is only a tiny bit less than 746, the cube of 745.9 will be almost the same as the cube of 746.
The cube of 745.9 is approximately 415,915,736 because the difference between 745.9 and 746 is very small.
So, we can approximate the value as 415,915,736.
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.