Last updated on June 5th, 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 the cube of 770.
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 770 can be written as 770³, which is the exponential form. Or it can also be written in arithmetic form as 770 x 770 x 770.
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 (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. 770³ = 770 x 770 x 770
Step 2: You get 456,533,000 as the answer. Hence, the cube of 770 is 456,533,000.
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 770 into two parts. Let a = 700 and b = 70, so a + b = 770.
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³.
Step 3: Calculate each term
a³ = 700³
3a²b = 3 × 700² × 70
3ab² = 3 × 700 × 70²
b³ = 70³
Step 4: Add all the terms together:
(a + b)³ = a³ + 3a²b + 3ab² + b³
(700 + 70)³ = 700³ + 3 × 700² × 70 + 3 × 700 × 70² + 70³
770³ = 343,000,000 + 147,000,000 + 14,700,000 + 343,000
770³ = 456,533,000
Step 5: Hence, the cube of 770 is 456,533,000.
To find the cube of 770 using a calculator, input the number 770 and use the cube function (if available) or multiply 770 x 770 x 770. This operation calculates the value of 770³, resulting in 456,533,000. 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 7 and 0.
Step 3: If the calculator has a cube function, press it to calculate 770³.
Step 4: If there is no cube function on the calculator, simply multiply 770 three times manually.
Step 5: The calculator will display 456,533,000.
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 770?
The cube of 770 is 456,533,000 and the cube root of 770 is approximately 9.284.
First, let’s find the cube of 770.
We know that the cube of a number is represented as x³ = y, where x is the given number, and y is the cubed value of that number.
So, we get 770³= 456,533,000.
Next, we must find the cube root of 770. We know that the cube rot of a number ‘x’ is represented as ∛x = y, where ‘x’ is the given number, and y is the cube root value of the number.
So, we get ∛770 ≈ 9.284.
Hence the cube of 770 is 456,533,000, and the cube root of 770 is approximately 9.284.
If the side length of the cube is 770 cm, what is the volume?
The volume is 456,533,000 cm³.
Use the volume formula for a cube V = Side³.
Substitute 770 for the side length: V = 770³ = 456,533,000 cm³.
How much larger is 770³ than 700³?
770³ – 700³ = 113,533,000.
First, find the cube of 770³, which is 456,533,000.
Next, find the cube of 700³, which is 343,000,000.
Now, find the difference between them using the subtraction method. 456,533,000 – 343,000,000 = 113,533,000.
Therefore, 770³ is 113,533,000 larger than 700³.
If a cube with a side length of 770 cm is compared to a cube with a side length of 70 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 770 cm is 456,533,000 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 770 means multiplying 770 by itself three times: 770 x 770 = 592,900, and then 592,900 x 770 = 456,533,000.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 456,533,000 cm³.
Estimate the cube 770.1 using the cube of 770.
The cube of 770.1 is approximately 456,533,000.
First, identify the cube of 770: The cube of 770 is 770³ = 456,533,000.
Since 770.1 is only a tiny bit more than 770, the cube of 770.1 will be almost the same as the cube of 770.
The cube of 770.1 is approximately 456,533,000 because the difference between 770.1 and 770 is very small.
So, we can approximate the value as 456,533,000.
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.