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 while comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about the cube of 694.
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 694 can be written as 694³, which is the exponential form. Or it can also be written in arithmetic form as 694 × 694 × 694.
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. 694³ = 694 × 694 × 694
Step 2: You get 334,262,664 as the answer. Hence, the cube of 694 is 334,262,664.
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 694 into two parts, as 600 and 94. Let a = 600 and b = 94, so a + b = 694
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term
a³ = 600³
3a²b = 3 × 600² × 94
3ab² = 3 × 600 × 94²
b³ = 94³
Step 4: Add all the terms together:
(a + b)³ = a³ + 3a²b + 3ab² + b³
(600 + 94)³ = 600³ + 3 × 600² × 94 + 3 × 600 × 94² + 94³
694³ = 216,000,000 + 101,088,000 + 15,904,800 + 830,664
694³ = 334,262,664
Step 5: Hence, the cube of 694 is 334,262,664.
To find the cube of 694 using a calculator, input the number 694 and use the cube function (if available) or multiply 694 × 694 × 694. This operation calculates the value of 694³, resulting in 334,262,664. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Press 6, 9, followed by 4.
Step 3: If the calculator has a cube function, press it to calculate 694³.
Step 4: If there is no cube function on the calculator, simply multiply 694 three times manually.
Step 5: The calculator will display 334,262,664.
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 694?
The cube of 694 is 334,262,664 and the cube root of 694 is approximately 8.878.
First, let’s find the cube of 694.
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 694³ = 334,262,664.
Next, we must find the cube root of 694. We know that the 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 ∛694 ≈ 8.878.
Hence, the cube of 694 is 334,262,664 and the cube root of 694 is approximately 8.878.
If the side length of the cube is 694 cm, what is the volume?
The volume is 334,262,664 cm³.
Use the volume formula for a cube V = Side³.
Substitute 694 for the side length: V = 694³ = 334,262,664 cm³.
How much larger is 694³ than 594³?
694³ – 594³ = 213,700,664.
First, find the cube of 694³, that is 334,262,664.
Next, find the cube of 594³, which is 120,562,000.
Now, find the difference between them using the subtraction method. 334,262,664 – 120,562,000 = 213,700,664.
Therefore, 694³ is 213,700,664 larger than 594³.
If a cube with a side length of 694 cm is compared to a cube with a side length of 194 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 694 cm is 334,262,664 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 694 means multiplying 694 by itself three times: 694 × 694 = 481,636, and then 481,636 × 694 = 334,262,664.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 334,262,664 cm³.
Estimate the cube of 693.9 using the cube of 694.
The cube of 693.9 is approximately 334,262,664.
First, identify the cube of 694.
The cube of 694 is 694³ = 334,262,664. Since 693.9 is only a tiny bit less than 694, the cube of 693.9 will be almost the same as the cube of 694.
The cube of 693.9 is approximately 334,262,664 because the difference between 693.9 and 694 is very small.
So, we can approximate the value as 334,262,664.
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.