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 cubes of 745.
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 745 can be written as 745³, which is the exponential form. Or it can also be written in arithmetic form as, 745 × 745 × 745.
In order to check whether a number is a cube number or not, we can use the following three methods, such as 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. 745³ = 745 × 745 × 745
Step 2: You get 413,837,125 as the answer. Hence, the cube of 745 is 413,837,125.
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 745 into two parts, as 700 and 45. Let a = 700 and b = 45, so a + b = 745
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term
a³ = 700³
3a²b = 3 × 700² × 45
3ab² = 3 × 700 × 45²
b³ = 45³
Step 4: Add all the terms together:
(a + b)³ = a³ + 3a²b + 3ab² + b³
(700 + 45)³ = 700³ + 3 × 700² × 45 + 3 × 700 × 45² + 45³
745³ = 343,000,000 + 66,150,000 + 42,525,000 + 91,125
745³ = 413,837,125
Step 5: Hence, the cube of 745 is 413,837,125.
To find the cube of 745 using a calculator, input the number 745 and use the cube function (if available) or multiply 745 × 745 × 745. This operation calculates the value of 745³, resulting in 413,837,125. 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 5
Step 3: If the calculator has a cube function, press it to calculate 745³.
Step 4: If there is no cube function on the calculator, simply multiply 745 three times manually.
Step 5: The calculator will display 413,837,125.
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 of 745?
The cube of 745 is 413,837,125.
To find the cube of 745, multiply the number by itself three times: 745 × 745 = 555,025, then 555,025 × 745 = 413,837,125. Therefore, the cube of 745 is 413,837,125.
If the side length of the cube is 745 cm, what is the volume?
The volume is 413,837,125 cm³.
Use the volume formula for a cube V = Side³. Substitute 745 for the side length: V = 745³ = 413,837,125 cm³.
How much larger is 745³ than 700³?
745³ – 700³ = 70,837,125.
First find the cube of 745, that is 413,837,125.
Next, find the cube of 700, which is 343,000,000.
Now, find the difference between them using the subtraction method.
413,837,125 – 343,000,000 = 70,837,125.
Therefore, the 745³ is 70,837,125 larger than 700³.
If a cube with a side length of 745 cm is compared to a cube with a side length of 45 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 745 cm is 413,837,125 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 745 means multiplying 745 by itself three times: 745 × 745 = 555,025, and then 555,025 × 745 = 413,837,125.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 413,837,125 cm³.
Estimate the cube of 744.9 using the cube of 745.
The cube of 744.9 is approximately 413,837,125.
First, identify the cube of 745, The cube of 745 is 745³ = 413,837,125.
Since 744.9 is only a tiny bit less than 745, the cube of 744.9 will be almost the same as the cube of 745.
The cube of 744.9 is approximately 413,837,125 because the difference between 744.9 and 745 is very small.
So, we can approximate the value as 413,837,125.
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.