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 in comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about the cube of 700.
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 700 can be written as 700³, which is the exponential form. Or it can also be written in arithmetic form as 700 × 700 × 700.
To determine whether a number is a cube number, we can use the following three methods: multiplication method, a factor formula (a³), or by using a calculator. These methods help in cubing numbers faster and more easily without causing confusion or errors while evaluating the answers.
The multiplication method is a mathematical process 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. 700³ = 700 × 700 × 700
Step 2: You get 343,000,000 as the answer. Hence, the cube of 700 is 343,000,000.
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 700 into two parts. Let a = 600 and b = 100, so a + b = 700
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term
a³ = 600³
3a²b = 3 × 600² × 100
3ab² = 3 × 600 × 100²
b³ = 100³
Step 4: Add all the terms together:
(a + b)³ = a³ + 3a²b + 3ab² + b³
(600 + 100)³ = 600³ + 3 × 600² × 100 + 3 × 600 × 100² + 100³
700³ = 216,000,000 + 108,000,000 + 18,000,000 + 1,000,000
700³ = 343,000,000
Step 5: Hence, the cube of 700 is 343,000,000.
To find the cube of 700 using a calculator, input the number 700 and use the cube function (if available) or multiply 700 × 700 × 700. This operation calculates the value of 700³, resulting in 343,000,000. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Press 7 followed by 0 twice
Step 3: If the calculator has a cube function, press it to calculate 700³.
Step 4: If there is no cube function on the calculator, simply multiply 700 three times manually.
Step 5: The calculator will display 343,000,000.
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 700?
The cube of 700 is 343,000,000 and the cube root of 700 is approximately 8.845.
First, let’s find the cube of 700.
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 700³ = 343,000,000
Next, we must find the cube root of 700 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 ∛700 ≈ 8.845
Hence the cube of 700 is 343,000,000 and the cube root of 700 is approximately 8.845.
If the side length of the cube is 700 cm, what is the volume?
The volume is 343,000,000 cm³.
Use the volume formula for a cube V = Side³.
Substitute 700 for the side length: V = 700³ = 343,000,000 cm³.
How much larger is 700³ than 600³?
700³ – 600³ = 127,000,000.
First find the cube of 700³, that is 343,000,000
Next, find the cube of 600³, which is 216,000,000
Now, find the difference between them using the subtraction method.
343,000,000 – 216,000,000 = 127,000,000
Therefore, 700³ is 127,000,000 larger than 600³.
If a cube with a side length of 700 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 700 cm is 343,000,000 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 700 means multiplying 700 by itself three times: 700 × 700 = 490,000, and then 490,000 × 700 = 343,000,000.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 343,000,000 cm³.
Estimate the cube 698 using the cube 700.
The cube of 698 is approximately 343,000,000.
First, identify the cube of 700, The cube of 700 is 700³ = 343,000,000.
Since 698 is only a little less than 700, the cube of 698 will be nearly the same as the cube of 700.
The cube of 698 is approximately 343,000,000 because the difference between 698 and 700 is small.
So, we can approximate the value as 343,000,000.
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.