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 698.
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 698 can be written as 6983, which is the exponential form. Or it can also be written in arithmetic form as, 698 × 698 × 698.
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 (a^3), 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. 698^3 = 698 × 698 × 698
Step 2: You get 340,482,152 as the answer. Hence, the cube of 698 is 340,482,152.
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 698 into two parts, as 600 and 98. Let a = 600 and b = 98, so a + b = 698
Step 2: Now, apply the formula (a + b)3 = a3 + 3a2b + 3ab2 + b3
Step 3: Calculate each term a3 = 6003
3a2b = 3 × 6002 × 98
3ab2 = 3 × 600 × 982
b3 = 983
Step 4: Add all the terms together:
(a + b)3 = a3 + 3a2b + 3ab2 + b3
(600 + 98)3 = 6003 + 3 × 6002 × 98 + 3 × 600 × 982 + 983
6983 = 216,000,000 + 105,840,000 + 17,304,000 + 941,192
6983 = 340,482,152
Step 5: Hence, the cube of 698 is 340,482,152.
To find the cube of 698 using a calculator, input the number 698 and use the cube function (if available) or multiply 698 × 698 × 698. This operation calculates the value of 6983, resulting in 340,482,152. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Input 698
Step 3: If the calculator has a cube function, press it to calculate 6983.
Step 4: If there is no cube function on the calculator, simply multiply 698 three times manually.
Step 5: The calculator will display 340,482,152.
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 698?
The cube of 698 is 340,482,152 and the cube root of 698 is approximately 8.845.
First, let’s find the cube of 698.
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 6983 = 340,482,152
Next, we must find the cube root of 698 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 ∛698 ≈ 8.845
Hence, the cube of 698 is 340,482,152 and the cube root of 698 is approximately 8.845.
If the side length of the cube is 698 cm, what is the volume?
The volume is 340,482,152 cm3.
Use the volume formula for a cube V = Side3. Substitute 698 for the side length: V = 6983 = 340,482,152 cm3
How much larger is 698^3 than 598³?
6983 – 5983 = 182,944,152.
First find the cube of 698, that is 340,482,152
Next, find the cube of 598, which is 157,538,000
Now, find the difference between them using the subtraction method. 340,482,152 – 157,538,000 = 182,944,152
Therefore, 6983 is 182,944,152 larger than 5983.
If a cube with a side length of 698 cm is compared to a cube with a side length of 100 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 698 cm is 340,482,152 cm3.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 698 means multiplying 698 by itself three times: 698 × 698 = 487,204, and then 487,204 × 698 = 340,482,152.
The unit of volume is cubic centimeters (cm3), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 340,482,152 cm3.
Estimate the cube 697.5 using the cube 698.
The cube of 697.5 is approximately 340,482,152.
First, identify the cube of 698, The cube of 698 is 6983 = 340,482,152.
Since 697.5 is only a tiny bit less than 698, the cube of 697.5 will be almost the same as the cube of 698.
The cube of 697.5 is approximately 340,482,152 because the difference between 697.5 and 698 is very small.
So, we can approximate the value as 340,482,152.
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.