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 the cube of 703.
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 703 can be written as 703³, which is the exponential form. Or it can also be written in arithmetic form as, 703 × 703 × 703.
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. 703³ = 703 × 703 × 703
Step 2: You get 347,287,627 as the answer. Hence, the cube of 703 is 347,287,627.
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 703 into two parts. Let a = 700 and b = 3, so a + b = 703
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term
a³ = 700³
3a²b = 3 × 700² × 3
3ab² = 3 × 700 × 3²
b³ = 3³
Step 4: Add all the terms together:
(a + b)³ = a³ + 3a²b + 3ab² + b³
(700 + 3)³ = 700³ + 3 × 700² × 3 + 3 × 700 × 3² + 3³
703³ = 343,000,000 + 4,410,000 + 18,900 + 27
703³ = 347,287,627
Step 5: Hence, the cube of 703 is 347,287,627.
To find the cube of 703 using a calculator, input the number 703 and use the cube function (if available) or multiply 703 × 703 × 703. This operation calculates the value of 703³, resulting in 347,287,627. 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 and 3
Step 3: If the calculator has a cube function, press it to calculate 703³.
Step 4: If there is no cube function on the calculator, simply multiply 703 three times manually.
Step 5: The calculator will display 347,287,627.
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 703?
The cube of 703 is 347,287,627 and the cube root of 703 is approximately 8.903.
First, let’s find the cube of 703.
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 703³ = 347,287,627
Next, we must find the cube root of 703 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 ∛703 ≈ 8.903
Hence, the cube of 703 is 347,287,627 and the cube root of 703 is approximately 8.903.
If the side length of the cube is 703 cm, what is the volume?
The volume is 347,287,627 cm³.
Use the volume formula for a cube V = Side³.
Substitute 703 for the side length: V = 703³ = 347,287,627 cm³.
How much larger is 703³ than 403³?
703³ – 403³ = 347,287,627 - 64,000 = 347,223,627.
First, find the cube of 703, that is 347,287,627
Next, find the cube of 403, which is 64,000
Now, find the difference between them using the subtraction method. 347,287,627 - 64,000 = 347,223,627
Therefore, 703³ is 347,223,627 larger than 403³.
If a cube with a side length of 703 cm is compared to a cube with a side length of 10 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 703 cm is 347,287,627 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 703 means multiplying 703 by itself three times: 703 × 703 = 494,209, and then 494,209 × 703 = 347,287,627.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 347,287,627 cm³.
Estimate the cube of 702.9 using the cube of 703.
The cube of 702.9 is approximately 347,287,627.
First, identify the cube of 703, The cube of 703 is 703³ = 347,287,627.
Since 702.9 is only a tiny bit less than 703, the cube of 702.9 will be almost the same as the cube of 703.
The cube of 702.9 is approximately 347,287,627 because the difference between 702.9 and 703 is very small.
So, we can approximate the value as 347,287,627.
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.