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 cubes of 708.
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 708 can be written as 708³, which is the exponential form. Or it can also be written in arithmetic form as, 708 × 708 × 708.
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. 708³ = 708 × 708 × 708
Step 2: Calculate the result. Hence, the cube of 708 is 354,779,352.
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 708 into two parts, as 700 and 8. Let a = 700 and b = 8, so a + b = 708
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term
a³ = 700³
3a²b = 3 × 700² × 8
3ab² = 3 × 700 × 8²
b³ = 8³
Step 4: Add all the terms together:
(a + b)³ = a³ + 3a²b + 3ab² + b³
(700 + 8)³ = 700³ + 3 × 700² × 8 + 3 × 700 × 8² + 8³
708³ = 343,000,000 + 11,760,000 + 134,400 + 512
708³ = 354,779,352
Step 5: Hence, the cube of 708 is 354,779,352.
To find the cube of 708 using a calculator, input the number 708 and use the cube function (if available) or multiply 708 × 708 × 708. This operation calculates the value of 708³, resulting in 354,779,352. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Input 708
Step 3: If the calculator has a cube function, press it to calculate 708³.
Step 4: If there is no cube function on the calculator, simply multiply 708 three times manually.
Step 5: The calculator will display 354,779,352.
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 708?
The cube of 708 is 354,779,352 and the cube root of 708 is approximately 8.889.
First, let’s find the cube of 708.
We know that the cube of a number is obtained by multiplying it by itself three times.
So, we get 708³ = 354,779,352.
Next, we must find the cube root of 708. The cube root of a number ‘x’ is such that ³√x = y.
So, we get ³√708 ≈ 8.889.
Hence, the cube of 708 is 354,779,352 and the cube root of 708 is approximately 8.889.
If the side length of the cube is 708 cm, what is the volume?
The volume is 354,779,352 cm³.
Use the volume formula for a cube V = Side³.
Substitute 708 for the side length: V = 708³ = 354,779,352 cm³.
How much larger is 708³ than 700³?
708³ – 700³ = 11,779,352.
First find the cube of 708, which is 354,779,352.
Next, find the cube of 700, which is 343,000,000.
Now, find the difference between them using the subtraction method.
354,779,352 – 343,000,000 = 11,779,352.
Therefore, the 708³ is 11,779,352 larger than 700³.
If a cube with a side length of 708 cm is compared to a cube with a side length of 8 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 708 cm is 354,779,352 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 708 means multiplying 708 by itself three times: 708 × 708 = 501,264, and then 501,264 × 708 = 354,779,352.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 354,779,352 cm³.
Estimate the cube of 707.5 using the cube of 708.
The cube of 707.5 is approximately 354,779,352.
First, identify the cube of 708,
The cube of 708 is 708³ = 354,779,352.
Since 707.5 is only a tiny bit less than 708, the cube of 707.5 will be almost the same as the cube of 708.
The cube of 707.5 is approximately 354,779,352 because the difference between 707.5 and 708 is very small.
So, we can approximate the value as 354,779,352.
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.