Last updated on June 6th, 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 804.
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 804 can be written as 804³, which is the exponential form. Or it can also be written in arithmetic form as 804 × 804 × 804.
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 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. 804³ = 804 × 804 × 804
Step 2: You get 520,627,264 as the answer. Hence, the cube of 804 is 520,627,264.
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 804 into two parts, as 800 and 4. Let a = 800 and b = 4, so a + b = 804
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term
a³ = 800³
3a²b = 3 × 800² × 4
3ab² = 3 × 800 × 4²
b³ = 4³
Step 4: Add all the terms together:
(a + b)³ = a³ + 3a²b + 3ab² + b³
(800 + 4)³ = 800³ + 3 × 800² × 4 + 3 × 800 × 4² + 4³
804³ = 512,000,000 + 7,680,000 + 38,400 + 64
804³ = 520,627,264
Step 5: Hence, the cube of 804 is 520,627,264.
To find the cube of 804 using a calculator, input the number 804 and use the cube function (if available) or multiply 804 × 804 × 804. This operation calculates the value of 804³, resulting in 520,627,264. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Press 8 followed by 0 and 4.
Step 3: If the calculator has a cube function, press it to calculate 804³.
Step 4: If there is no cube function on the calculator, simply multiply 804 three times manually.
Step 5: The calculator will display 520,627,264.
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 804?
The cube of 804 is 520,627,264 and the cube root of 804 is approximately 9.283.
First, let’s find the cube of 804.
We know that the cube of a number is where x³ = y, where x is the given number, and y is the cubed value of that number.
So, we get 804³ = 520,627,264.
Next, we must find the cube root of 804. 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 ∛804 ≈ 9.283.
Hence, the cube of 804 is 520,627,264 and the cube root of 804 is approximately 9.283.
If the side length of the cube is 804 cm, what is the volume?
The volume is 520,627,264 cm³.
Use the volume formula for a cube V = Side³.
Substitute 804 for the side length: V = 804³ = 520,627,264 cm³.
How much larger is 804³ than 800³?
804³ – 800³ = 8,627,264.
First, find the cube of 804, which is 520,627,264.
Next, find the cube of 800, which is 512,000,000.
Now, find the difference between them using the subtraction method. 520,627,264 – 512,000,000 = 8,627,264.
Therefore, 804³ is 8,627,264 larger than 800³.
If a cube with a side length of 804 cm is compared to a cube with a side length of 200 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 804 cm is 520,627,264 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 804 means multiplying 804 by itself three times: 804 × 804 = 646,416, and then 646,416 × 804 = 520,627,264.
The unit of volume is cubic centimeters (cm³) because we are calculating the space inside the cube.
Therefore, the volume of the cube is 520,627,264 cm³.
Estimate the cube 803.9 using the cube 804.
The cube of 803.9 is approximately 520,627,264.
First, identify the cube of 804.
The cube of 804 is 804³ = 520,627,264.
Since 803.9 is only a tiny bit less than 804, the cube of 803.9 will be almost the same as the cube of 804.
The cube of 803.9 is approximately 520,627,264 because the difference between 803.9 and 804 is very small.
So, we can approximate the value as 520,627,264.
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.