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 706.
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 706 can be written as 706³, which is the exponential form. Or it can also be written in arithmetic form as 706 × 706 × 706.
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 confusion.
The multiplication method is a process in mathematics used to find the product of numbers 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. 706³ = 706 × 706 × 706
Step 2: You get 351,298,616 as the answer. Hence, the cube of 706 is 351,298,616.
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 706 into two parts. Let a = 700 and b = 6, so a + b = 706
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term
a³ = 700³
3a²b = 3 × 700² × 6
3ab² = 3 × 700 × 6²
b³ = 6³
Step 4: Add all the terms together:
(a + b)³ = a³ + 3a²b + 3ab² + b³
(700 + 6)³ = 700³ + 3 × 700² × 6 + 3 × 700 × 6² + 6³
706³ = 343,000,000 + 8,820,000 + 151,200 + 216
706³ = 351,298,616
Step 5: Hence, the cube of 706 is 351,298,616.
To find the cube of 706 using a calculator, input the number 706 and use the cube function (if available) or multiply 706 × 706 × 706. This operation calculates the value of 706³, resulting in 351,298,616. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Input 706
Step 3: If the calculator has a cube function, press it to calculate 706³.
Step 4: If there is no cube function on the calculator, simply multiply 706 three times manually.
Step 5: The calculator will display 351,298,616.
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 706?
The cube of 706 is 351,298,616 and the cube root of 706 is approximately 8.894.
First, let’s find the cube of 706.
We know that cube of a number is such that x³ = y Where x is the given number, and y is the cubed value of that number
So, we get 706³ = 351,298,616
Next, we must find the cube root of 706 We know that cube root of a number ‘x’ is such that ∛x = y Where ‘x’ is the given number, and y is the cube root value of the number
So, we get ∛706 ≈ 8.894
Hence the cube of 706 is 351,298,616 and the cube root of 706 is approximately 8.894.
If the side length of a cube is 706 cm, what is the volume?
The volume is 351,298,616 cm³.
Use the volume formula for a cube V = Side³.
Substitute 706 for the side length: V = 706³ = 351,298,616 cm³.
How much larger is 706³ than 406³?
706³ – 406³ = 312,754,216.
First, find the cube of 706³, which is 351,298,616.
Next, find the cube of 406³, which is 38,544,400.
Now, find the difference between them using the subtraction method.
351,298,616 – 38,544,400 = 312,754,216
Therefore, 706³ is 312,754,216 larger than 406³.
If a cube with a side length of 706 cm is compared to a cube with a side length of 106 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 706 cm is 351,298,616 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 706 means multiplying 706 by itself three times: 706 × 706 = 498,436, and then 498,436 × 706 = 351,298,616.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 351,298,616 cm³.
Estimate the cube of 705.9 using the cube of 706.
The cube of 705.9 is approximately 351,298,616.
First, identify the cube of 706, The cube of 706 is 706³ = 351,298,616.
Since 705.9 is only a tiny bit less than 706, the cube of 705.9 will be almost the same as the cube of 706.
The cube of 705.9 is approximately 351,298,616 because the difference between 705.9 and 706 is very small.
So, we can approximate the value as 351,298,616.
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.