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 693.
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 693 can be written as 693³, which is the exponential form. Or it can also be written in arithmetic form as, 693 × 693 × 693.
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. 693³ = 693 × 693 × 693
Step 2: You get 332,667,837 as the answer. Hence, the cube of 693 is 332,667,837.
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 693 into two parts, as 600 and 93. Let a = 600 and b = 93, so a + b = 693
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 600³ 3a²b = 3 × 600² × 93 3ab² = 3 × 600 × 93² b³ = 93³
Step 4: Add all the terms together:
(a + b)³ = a³ + 3a²b + 3ab² + b³
(600 + 93)³ = 600³ + 3 × 600² × 93 + 3 × 600 × 93² + 93³
693³ = 216,000,000 + 100,440,000 + 15,508,200 + 804,837
693³ = 332,667,837
Step 5: Hence, the cube of 693 is 332,667,837.
To find the cube of 693 using a calculator, input the number 693 and use the cube function (if available) or multiply 693 × 693 × 693. This operation calculates the value of 693³, resulting in 332,667,837. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Press 6 followed by 9 and then 3
Step 3: If the calculator has a cube function, press it to calculate 693³.
Step 4: If there is no cube function on the calculator, simply multiply 693 three times manually.
Step 5: The calculator will display 332,667,837.
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 693?
The cube of 693 is 332,667,837 and the cube root of 693 is approximately 8.874.
First, let’s find the cube of 693.
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 693³ = 332,667,837
Next, we must find the cube root of 693 We know that the cube root of a number ‘x’, such that ³√x = y Where ‘x’ is the given number, and y is the cube root value of the number
So, we get ³√693 ≈ 8.874
Hence the cube of 693 is 332,667,837 and the cube root of 693 is approximately 8.874.
If the side length of the cube is 693 cm, what is the volume?
The volume is 332,667,837 cm³.
Use the volume formula for a cube V = Side³.
Substitute 693 for the side length: V = 693³ = 332,667,837 cm³.
How much larger is 693³ than 603³?
693³ – 603³ = 146,317,837.
First find the cube of 693, that is 332,667,837
Next, find the cube of 603, which is 186,350,000
Now, find the difference between them using the subtraction method. 332,667,837 – 186,350,000 = 146,317,837
Therefore, 693³ is 146,317,837 larger than 603³.
If a cube with a side length of 693 cm is compared to a cube with a side length of 193 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 693 cm is 332,667,837 cm³ and it is significantly larger.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 693 means multiplying 693 by itself three times: 693 × 693 = 480,249, and then 480,249 × 693 = 332,667,837.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 332,667,837 cm³.
Estimate the cube 692.5 using the cube of 693.
The cube of 692.5 is approximately 332,667,837.
First, identify the cube of 693, The cube of 693 is 693³ = 332,667,837.
Since 692.5 is only a tiny bit less than 693, the cube of 692.5 will be almost the same as the cube of 693.
The cube of 692.5 is approximately 332,667,837 because the difference between 692.5 and 693 is very small.
So, we can approximate the value as 332,667,837.
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.