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 the sizes of objects or things with cubic measurements. In this topic, we shall learn about cubes of 10.
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 10 can be written as 10³, which is the exponential form. Or it can also be written in arithmetic form as, 10 × 10 × 10.
In order to check whether a number is a cube number or not, we can use the following three methods, such as the 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. 10³ = 10 × 10 × 10
Step 2: You get 1,000 as the answer. Hence, the cube of 10 is 1,000.
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 10 into two parts, such as a and b. Let a = 6 and b = 4, so a + b = 10
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term
a³ = 6³
3a²b = 3 × 6² × 4
3ab² = 3 × 6 × 4²
b³ = 4³
Step 4: Add all the terms together:
(a + b)³ = a³ + 3a²b + 3ab² + b³
(6 + 4)³ = 6³ + 3 × 6² × 4 + 3 × 6 × 4² + 4³
10³ = 216 + 432 + 288 + 64
10³ = 1,000
Step 5: Hence, the cube of 10 is 1,000.
To find the cube of 10 using a calculator, input the number 10 and use the cube function (if available) or multiply 10 × 10 × 10. This operation calculates the value of 10³, resulting in 1,000. 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 0
Step 3: If the calculator has a cube function, press it to calculate 10³.
Step 4: If there is no cube function on the calculator, simply multiply 10 three times manually.
Step 5: The calculator will display 1,000.
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 10?
The cube of 10 is 1,000 and the cube root of 10 is approximately 2.154.
First, let’s find the cube of 10. 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 10³ = 1,000
Next, we must find the cube root of 10 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 ∛10 ≈ 2.154
Hence, the cube of 10 is 1,000 and the cube root of 10 is approximately 2.154.
If the side length of the cube is 10 cm, what is the volume?
The volume is 1,000 cm³.
Use the volume formula for a cube V = Side³.
Substitute 10 for the side length: V = 10³ = 1,000 cm³.
How much larger is 10³ than 5³?
10³ – 5³ = 875.
First, find the cube of 10³, that is 1,000
Next, find the cube of 5³, which is 125
Now, find the difference between them using the subtraction method.
1,000 – 125 = 875
Therefore, 10³ is 875 larger than 5³.
If a cube with a side length of 10 cm is compared to a cube with a side length of 2 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 10 cm is 1,000 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object). Cubing 10 means multiplying 10 by itself three times: 10 × 10 = 100, and then 100 × 10 = 1,000. The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube. Therefore, the volume of the cube is 1,000 cm³.
Estimate the cube of 9.9 using the cube of 10.
The cube of 9.9 is approximately 1,000.
First, identify the cube of 10, The cube of 10 is 10³ = 1,000.
Since 9.9 is only a tiny bit less than 10, the cube of 9.9 will be almost the same as the cube of 10.
The cube of 9.9 is approximately 1,000 because the difference between 9.9 and 10 is very small.
So, we can approximate the value as 1,000.
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.