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 cubes of 812.
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 812 can be written as 812³, which is the exponential form. Or it can also be written in arithmetic form as, 812 × 812 × 812.
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. 812³ = 812 × 812 × 812
Step 2: You get 535,826,048 as the answer. Hence, the cube of 812 is 535,826,048.
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 812 into two parts, as 800 and 12. Let a = 800 and b = 12, so a + b = 812
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 800³ 3a²b = 3 × 800² × 12 3ab² = 3 × 800 × 12² b³ = 12³
Step 4: Add all the terms together:
(a + b)³ = a³ + 3a²b + 3ab² + b³
(800 + 12)³ = 800³ + 3 × 800² × 12 + 3 × 800 × 12² + 12³
812³ = 512,000,000 + 230,400 + 115,200 + 1,728
812³ = 535,826,048
Step 5: Hence, the cube of 812 is 535,826,048.
To find the cube of 812 using a calculator, input the number 812 and use the cube function (if available) or multiply 812 × 812 × 812. This operation calculates the value of 812³, resulting in 535,826,048. 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 1 and 2
Step 3: If the calculator has a cube function, press it to calculate 812³.
Step 4: If there is no cube function on the calculator, simply multiply 812 three times manually.
Step 5: The calculator will display 535,826,048.
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 812?
The cube of 812 is 535,826,048 and the cube root of 812 is approximately 9.283.
First, let’s find the cube of 812.
We know that 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 812³ = 535,826,048
Next, we must find the cube root of 812 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 ∛812 ≈ 9.283
Hence the cube of 812 is 535,826,048 and the cube root of 812 is approximately 9.283.
If the side length of the cube is 812 cm, what is the volume?
The volume is 535,826,048 cm³.
Use the volume formula for a cube V = Side³.
Substitute 812 for the side length: V = 812³ = 535,826,048 cm³.
How much larger is 812³ than 712³?
812³ – 712³ = 343,000,576.
First find the cube of 812, that is 535,826,048
Next, find the cube of 712, which is 192,825,472
Now, find the difference between them using the subtraction method. 535,826,048 – 192,825,472 = 343,000,576
Therefore, the 812³ is 343,000,576 larger than 712³.
If a cube with a side length of 812 cm is compared to a cube with a side length of 212 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 812 cm is 535,826,048 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 812 means multiplying 812 by itself three times: 812 × 812 = 659,344, and then 659,344 × 812 = 535,826,048.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 535,826,048 cm³.
Estimate the cube of 811.9 using the cube of 812.
The cube of 811.9 is approximately 535,826,048.
First, identify the cube of 812, The cube of 812 is 812³ = 535,826,048.
Since 811.9 is only a tiny bit less than 812, the cube of 811.9 will be almost the same as the cube of 812.
The cube of 811.9 is approximately 535,826,048 because the difference between 811.9 and 812 is very small.
So, we can approximate the value as 535,826,048.
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.