Last updated on May 30th, 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 12.
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 12 can be written as 12³, which is the exponential form. Or it can also be written in arithmetic form as, 12 × 12 × 12.
In order to check whether a number is a cube number or not, we can use the following three methods: 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. 12³ = 12 × 12 × 12
Step 2: You get 1,728 as the answer. Hence, the cube of 12 is 1,728.
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 12 into two parts. Let a = 10 and b = 2, so a + b = 12
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term
a³ = 10³
3a²b = 3 × 10² × 2
3ab² = 3 × 10 × 2²
b³ = 2³
Step 4: Add all the terms together:
(a + b)³ = a³ + 3a²b + 3ab² + b³
(10 + 2)³ = 10³ + 3 × 10² × 2 + 3 × 10 × 2² + 2³
12³ = 1,000 + 600 + 120 + 8
12³ = 1,728
Step 5: Hence, the cube of 12 is 1,728.
To find the cube of 12 using a calculator, input the number 12 and use the cube function (if available) or multiply 12 × 12 × 12. This operation calculates the value of 12³, resulting in 1,728. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Press 1 followed by 2
Step 3: If the calculator has a cube function, press it to calculate 12³.
Step 4: If there is no cube function on the calculator, simply multiply 12 three times manually.
Step 5: The calculator will display 1,728.
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 12?
The cube of 12 is 1,728 and the cube root of 12 is approximately 2.289.
First, let’s find the cube of 12.
We know that 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 12³ = 1,728
Next, we must find the cube root of 12 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 ∛12 ≈ 2.289
Hence the cube of 12 is 1,728 and the cube root of 12 is approximately 2.289.
If the side length of a cube is 12 cm, what is the volume?
The volume is 1,728 cm³.
Use the volume formula for a cube V = Side³.
Substitute 12 for the side length: V = 12³ = 1,728 cm³.
How much larger is 12³ than 10³?
12³ – 10³ = 728.
First, find the cube of 12, which is 1,728. Next, find the cube of 10, which is 1,000.
Now, find the difference between them using the subtraction method.
1,728 – 1,000 = 728
Therefore, 12³ is 728 larger than 10³.
If a cube with a side length of 12 cm is compared to a cube with a side length of 6 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 12 cm is 1,728 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 12 means multiplying 12 by itself three times: 12 × 12 = 144, and then 144 × 12 = 1,728.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 1,728 cm³.
Estimate the cube of 11.8 using the cube of 12.
The cube of 11.8 is approximately 1,728.
First, identify the cube of 12, The cube of 12 is 12³ = 1,728.
Since 11.8 is only a tiny bit less than 12, the cube of 11.8 will be almost the same as the cube of 12.
The cube of 11.8 is approximately 1,728 because the difference between 11.8 and 12 is very small.
So, we can approximate the value as 1,728.
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.