Last updated on June 1st, 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 the cube of 372.
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 372 can be written as 372³, which is the exponential form.
Or it can also be written in arithmetic form as 372 × 372 × 372.
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 cube 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. 372³ = 372 × 372 × 372
Step 2: You get 51,502,848 as the answer. Hence, the cube of 372 is 51,502,848.
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 372 into two parts. Let a = 370 and b = 2, so a + b = 372
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³= 370³ 3a²b = 3 × 370² × 2 3ab² = 3 × 370 × 2² b³ = 2³
Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (370 + 2)³ = 370³ + 3 × 370² × 2 + 3 × 370 × 2² + 2³ 372³ = 50,653,000 + 821,400 + 4,440 + 8 372³ = 51,502,848
Step 5: Hence, the cube of 372 is 51,502,848.
To find the cube of 372 using a calculator, input the number 372 and use the cube function (if available) or multiply 372 × 372 × 372. This operation calculates the value of 372³, resulting in 51,502,848. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Press 3 followed by 7 and 2
Step 3: If the calculator has a cube function, press it to calculate 372³.
Step 4: If there is no cube function on the calculator, simply multiply 372 three times manually.
Step 5: The calculator will display 51,502,848.
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 372?
The cube of 372 is 51,502,848, and the cube root of 372 is approximately 7.215.
First, let’s find the cube of 372.
We know that the cube of a number is such that x³ = y, where x is the given number, and y is the cubed value of that number.
So, we get 372³ = 51,502,848.
Next, we must find the cube root of 372.
We know that the cube root of a number ‘x’ is such that ∛x = y, where ‘x’ is the given number, and y is the cube root value of the number.
So, we get ∛372 ≈ 7.215.
Hence, the cube of 372 is 51,502,848, and the cube root of 372 is approximately 7.215.
If the side length of the cube is 372 cm, what is the volume?
The volume is 51,502,848 cm³.
Use the volume formula for a cube V = Side³.
Substitute 372 for the side length: V = 372³ = 51,502,848 cm³.
How much larger is 372³ than 370³?
372³ – 370³ = 1,641,448.
First, find the cube of 372³, which is 51,502,848.
Next, find the cube of 370³, which is 50,653,000.
Now, find the difference between them using the subtraction method. 51,502,848 – 50,653,000 = 1,641,448.
Therefore, 372³ is 1,641,448 larger than 370³.
If a cube with a side length of 372 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 372 cm is 51,502,848 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 372 means multiplying 372 by itself three times: 372 × 372 = 138,384, and then 138,384 × 372 = 51,502,848.
The unit of volume is cubic centimeters (cm³) because we are calculating the space inside the cube.
Therefore, the volume of the cube is 51,502,848 cm³.
Estimate the cube of 371.9 using the cube of 372.
The cube of 371.9 is approximately 51,502,848.
First, identify the cube of 372,
The cube of 372 is 372³ = 51,502,848.
Since 371.9 is only a tiny bit less than 372, the cube of 371.9 will be almost the same as the cube of 372.
The cube of 371.9 is approximately 51,502,848 because the difference between 371.9 and 372 is very small.
So, we can approximate the value as 51,502,848.
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.