Last updated on May 28th, 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 cubes of 438.
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 438 can be written as 4383, which is the exponential form. Or it can also be written in arithmetic form as, 438 × 438 × 438.
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 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.
4383 = 438 × 438 × 438
Step 2: You get 83,980,872 as the answer.
Hence, the cube of 438 is 83,980,872.
The formula (a + b)^3 is a binomial formula for finding the cube of a number. The formula is expanded as a3 + 3a2
b + 3ab2 + b3.
Step 1: Split the number 438 into two parts.
Let a = 400 and b = 38, so a + b = 438
Step 2: Now, apply the formula
(a + b)3 = a3 + 3a2
b + 3ab2 + b3
Step 3: Calculate each term:
a3 = 4003 3a2
b = 3 × 4002 × 38
3ab2 = 3 × 400 × 382
b3 = 383
Step 4: Add all the terms together:
(a + b)3 = a3 + 3a2
b + 3ab2 + b3
(400 + 38)3 = 4003 + 3 × 4002 × 38 + 3 × 400 × 382 + 383
4383 = 64,000,000 + 18,240,000 + 2,167,200 + 54,872
4383 = 83,980,872
Step 5: Hence, the cube of 438 is 83,980,872.
To find the cube of 438 using a calculator, input the number 438 and use the cube function (if available) or multiply 438 × 438 × 438. This operation calculates the value of 4383, resulting in 83,980,872. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Enter 438
Step 3: If the calculator has a cube function, press it to calculate 4383.
Step 4: If there is no cube function on the calculator, simply multiply 438 three times manually.
Step 5: The calculator will display 83,980,872.
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 438?
The cube of 438 is 83,980,872 and the cube root of 438 is approximately 7.57.
First, let’s find the cube of 438.
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 4383 = 83,980,872
Next, we must find the cube root of 438
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√438 ≈ 7.57
Hence, the cube of 438 is 83,980,872 and the cube root of 438 is approximately 7.57.
If the side length of the cube is 438 cm, what is the volume?
The volume is 83,980,872 cm3.
Use the volume formula for a cube V = Side3.
Substitute 438 for the side length: V = 4383 = 83,980,872 cm3.
How much larger is 438^3 than 400^3?
4383 – 4003 = 19,980,872.
First, find the cube of 438, which is 83,980,872
Next, find the cube of 400, which is 64,000,000
Now, find the difference between them using the subtraction method.
83,980,872 – 64,000,000 = 19,980,872
Therefore, 4383 is 19,980,872 larger than 4003.
If a cube with a side length of 438 cm is compared to a cube with a side length of 38 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 438 cm is 83,980,872 cm3.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 438 means multiplying 438 by itself three times: 438 × 438 = 191,844, and then 191,844 × 438 = 83,980,872.
The unit of volume is cubic centimeters (cm3), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 83,980,872 cm3.
Estimate the cube of 437.9 using the cube of 438.
The cube of 437.9 is approximately 83,980,872.
First, identify the cube of 438,
The cube of 438 is 4383 = 83,980,872.
Since 437.9 is only a tiny bit less than 438, the cube of 437.9 will be almost the same as the cube of 438.
The cube of 437.9 is approximately 83,980,872 because the difference between 437.9 and 438 is very small.
So, we can approximate the value as 83,980,872.
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.