Last updated on June 3rd, 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 264.
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 264 can be written as 264³, which is the exponential form.
Or it can also be written in arithmetic form as, 264 × 264 × 264.
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 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. 264³ = 264 × 264 × 264
Step 2: You get 18,394,944 as the answer. Hence, the cube of 264 is 18,394,944.
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 264 into two parts. Let a = 260 and b = 4, so a + b = 264
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 260³ 3a²b = 3 × 260² × 4 3ab² = 3 × 260 × 4² b³ = 4³
Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (260 + 4)³ = 260³ + 3 × 260² × 4 + 3 × 260 × 4² + 4³ 264³ = 17,576,000 + 811,200 + 12,480 + 64 264³ = 18,394,944
Step 5: Hence, the cube of 264 is 18,394,944.
To find the cube of 264 using a calculator, input the number 264 and use the cube function (if available) or multiply 264 × 264 × 264. This operation calculates the value of 264³, resulting in 18,394,944. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Press 2 followed by 6 and then 4
Step 3: If the calculator has a cube function, press it to calculate 264³.
Step 4: If there is no cube function on the calculator, simply multiply 264 three times manually.
Step 5: The calculator will display 18,394,944.
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 264?
The cube of 264 is 18,394,944 and the cube root of 264 is approximately 6.349.
First, let’s find the cube of 264.
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 264³ = 18,394,944
Next, we must find the cube root of 264
We know that 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 ∛264 = 6.349
Hence the cube of 264 is 18,394,944 and the cube root of 264 is approximately 6.349.
If the side length of the cube is 264 cm, what is the volume?
The volume is 18,394,944 cm³.
Use the volume formula for a cube V = Side³.
Substitute 264 for the side length: V = 264³ = 18,394,944 cm³.
How much larger is 264³ than 100³?
264³ – 100³ = 18,384,944.
First find the cube of 264³, that is 18,394,944
Next, find the cube of 100³, which is 1,000,000
Now, find the difference between them using the subtraction method. 18,394,944 – 1,000,000 = 17,394,944
Therefore, 264³ is 17,394,944 larger than 100³.
If a cube with a side length of 264 cm is compared to a cube with a side length of 10 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 264 cm is 18,394,944 cm³
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 264 means multiplying 264 by itself three times: 264 × 264 = 69,696, and then 69,696 × 264 = 18,394,944.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 18,394,944 cm³.
Estimate the cube of 263.5 using the cube of 264.
The cube of 263.5 is approximately 18,394,944.
First, identify the cube of 264,
The cube of 264 is 264³ = 18,394,944.
Since 263.5 is only a tiny bit less than 264, the cube of 263.5 will be almost the same as the cube of 264.
The cube of 263.5 is approximately 18,394,944 because the difference between 263.5 and 264 is very small.
So, we can approximate the value as 18,394,944.
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.