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 in comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about the cube of 801.
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 801 can be written as 801³, which is the exponential form. Or it can also be written in arithmetic form as 801 × 801 × 801.
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 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. 801³ = 801 × 801 × 801
Step 2: You get 514,734,801 as the answer. Hence, the cube of 801 is 514,734,801.
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 801 into two parts. Let a = 800 and b = 1, so a + b = 801
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term
a³ = 800³
3a²b = 3 × 800² × 1
3ab² = 3 × 800 × 1²
b³ = 1³
Step 4: Add all the terms together:
(a + b)³ = a³ + 3a²b + 3ab² + b³
(800 + 1)³ = 800³ + 3 × 800² × 1 + 3 × 800 × 1² + 1³
801³ = 512,000,000 + 1,920,000 + 2,400 + 1
801³ = 514,734,801
Step 5: Hence, the cube of 801 is 514,734,801.
To find the cube of 801 using a calculator, input the number 801 and use the cube function (if available) or multiply 801 × 801 × 801. This operation calculates the value of 801³, resulting in 514,734,801. 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 then 1
Step 3: If the calculator has a cube function, press it to calculate 801³.
Step 4: If there is no cube function on the calculator, simply multiply 801 three times manually.
Step 5: The calculator will display 514,734,801.
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 801?
The cube of 801 is 514,734,801 and the cube root of 801 is approximately 9.283.
First, let’s find the cube of 801.
We know that the cube of a number is given by x³ = y, where x is the given number, and y is the cubed value of the number.
So, we get 801³ = 514,734,801.
Next, we must find the cube root of 801. We know that the cube root of a number ‘x’ is given by ∛x = y, where ‘x’ is the given number, and y is the cube root value of the number.
So, we get ∛801 ≈ 9.283.
Hence, the cube of 801 is 514,734,801 and the cube root of 801 is approximately 9.283.
If the side length of the cube is 801 cm, what is the volume?
The volume is 514,734,801 cm³.
Use the volume formula for a cube V = Side³.
Substitute 801 for the side length: V = 801³ = 514,734,801 cm³.
How much larger is 801³ than 701³?
801³ – 701³ = 343,000,000.
First, find the cube of 801, which is 514,734,801.
Next, find the cube of 701, which is 171,734,801.
Now, find the difference between them using the subtraction method. 514,734,801 – 171,734,801 = 343,000,000.
Therefore, 801³ is 343,000,000 larger than 701³.
If a cube with a side length of 801 cm is compared to a cube with a side length of 400 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 801 cm is 514,734,801 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 801 means multiplying 801 by itself three times: 801 × 801 = 641,601, and then 641,601 × 801 = 514,734,801.
The unit of volume is cubic centimeters (cm³) because we are calculating the space inside the cube.
Therefore, the volume of the cube is 514,734,801 cm³.
Estimate the cube of 800.9 using the cube of 801.
The cube of 800.9 is approximately 514,734,801.
First, identify the cube of 801.
The cube of 801 is 801³ = 514,734,801.
Since 800.9 is only a tiny bit less than 801, the cube of 800.9 will be almost the same as the cube of 801.
The cube of 800.9 is approximately 514,734,801 because the difference between 800.9 and 801 is very small.
So, we can approximate the value as 514,734,801.
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.