Last updated on June 5th, 2025
When a number is multiplied by itself three times, the resultant number is called the cube of that number. Cubing is used when comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about the cube of 771.
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 771 can be written as 771³, which is the exponential form. Or it can also be written in arithmetic form as 771 × 771 × 771.
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. 771³ = 771 × 771 × 771
Step 2: You get 457,707,411 as the answer. Hence, the cube of 771 is 457,707,411.
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 771 into two parts, as 700 and 71. Let a = 700 and b = 71, so a + b = 771
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term
a³ = 700³
3a²b = 3 × 700² × 71
3ab² = 3 × 700 × 71²
b³ = 71³
Step 4: Add all the terms together:
(a + b)³ = a³ + 3a²b + 3ab² + b³
(700 + 71)³ = 700³ + 3 × 700² × 71 + 3 × 700 × 71² + 71³
771³ = 343,000,000 + 104,790,000 + 10,609,300 + 357,111
771³ = 457,707,411
Step 5: Hence, the cube of 771 is 457,707,411.
To find the cube of 771 using a calculator, input the number 771 and use the cube function (if available) or multiply 771 × 771 × 771. This operation calculates the value of 771³, resulting in 457,707,411. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Enter 771
Step 3: If the calculator has a cube function, press it to calculate 771³.
Step 4: If there is no cube function on the calculator, simply multiply 771 three times manually.
Step 5: The calculator will display 457,707,411.
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 771?
The cube of 771 is 457,707,411 and the cube root of 771 is approximately 9.245.
First, let’s find the cube of 771.
We know that the 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 771³ = 457,707,411
Next, we must find the cube root of 771. We know that the cube root of a number ‘x’ satisfies the relation: ∛x = y, where ‘x’ is the given number, and y is the cube root value of the number.
So, we get ∛771 ≈ 9.245
Hence the cube of 771 is 457,707,411 and the cube root of 771 is approximately 9.245.
If the side length of the cube is 771 cm, what is the volume?
The volume is 457,707,411 cm³.
Use the volume formula for a cube V = Side³.
Substitute 771 for the side length: V = 771³ = 457,707,411 cm³.
How much larger is 771³ than 700³?
771³ – 700³ = 114,707,411.
First find the cube of 771, which is 457,707,411.
Next, find the cube of 700, which is 343,000,000.
Now, find the difference between them using the subtraction method. 457,707,411 – 343,000,000 = 114,707,411
Therefore, 771³ is 114,707,411 larger than 700³.
If a cube with a side length of 771 cm is compared to a cube with a side length of 71 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 771 cm is 457,707,411 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 771 means multiplying 771 by itself three times: 771 × 771 = 594,441, and then 594,441 × 771 = 457,707,411.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 457,707,411 cm³.
Estimate the cube of 770 using the cube of 771.
The cube of 770 is approximately 457,707,411.
First, identify the cube of 771, The cube of 771 is 771³ = 457,707,411.
Since 770 is only a tiny bit less than 771, the cube of 770 will be almost the same as the cube of 771.
The cube of 770 is approximately 457,707,411 because the difference between 770 and 771 is very small.
So, we can approximate the value as 457,707,411.
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.