Last updated on June 2nd, 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 445.
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 445 can be written as 445³, which is the exponential form. Or it can also be written in arithmetic form as, 445 × 445 × 445.
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.
445³ = 445 × 445 × 445.
Step 2: You get 88,209,125 as the answer.
Hence, the cube of 445 is 88,209,125.
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 445 into two parts, as 400 and 45.
Let a = 400 and b = 45, so a + b = 445
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term
a³ = 400³
3a²b = 3 × 400² × 45
3ab² = 3 × 400 × 45²
b³ = 45³
Step 4: Add all the terms together:
(a + b)³ = a³ + 3a²b + 3ab² + b³
(400 + 45)³ = 400³ + 3 × 400² × 45 + 3 × 400 × 45² + 45³
445³ = 64,000,000 + 21,600,000 + 2,430,000 + 91,125
445³ = 88,209,125
Step 5: Hence, the cube of 445 is 88,209,125.
To find the cube of 445 using a calculator, input the number 445 and use the cube function (if available) or multiply 445 × 445 × 445. This operation calculates the value of 445³, resulting in 88,209,125. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Press 4 followed by 4 and 5.
Step 3: If the calculator has a cube function, press it to calculate 445³.
Step 4: If there is no cube function on the calculator, simply multiply 445 three times manually.
Step 5: The calculator will display 88,209,125.
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 and cube root of 445?
The cube of 445 is 88,209,125 and the cube root of 445 is approximately 7.628.
First, let’s find the cube of 445.
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 445³ = 88,209,125.
Next, we must find the cube root of 445.
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 ∛445 ≈ 7.628.
Hence, the cube of 445 is 88,209,125 and the cube root of 445 is approximately 7.628.
If the side length of the cube is 445 cm, what is the volume?
The volume is 88,209,125 cm³.
Use the volume formula for a cube V = Side³.
Substitute 445 for the side length: V = 445³ = 88,209,125 cm³.
How much larger is 445³ than 400³?
445³ – 400³ = 24,209,125.
First find the cube of 445³, that is 88,209,125.
Next, find the cube of 400³, which is 64,000,000.
Now, find the difference between them using the subtraction method.
88,209,125 – 64,000,000 = 24,209,125.
Therefore, 445³ is 24,209,125 larger than 400³.
If a cube with a side length of 445 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 445 cm is 88,209,125 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 445 means multiplying 445 by itself three times: 445 × 445 = 198,025, and then 198,025 × 445 = 88,209,125.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 88,209,125 cm³.
Estimate the cube of 444.9 using the cube of 445.
The cube of 444.9 is approximately 88,209,125.
First, identify the cube of 445.
The cube of 445 is 445³ = 88,209,125.
Since 444.9 is only a tiny bit less than 445, the cube of 444.9 will be almost the same as the cube of 445.
The cube of 444.9 is approximately 88,209,125 because the difference between 444.9 and 445 is very small.
So, we can approximate the value as 88,209,125.
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.