Cube of 77
2026-02-28 23:37 Diff
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Last updated on August 5, 2025

When a number is multiplied by itself thrice, the resultant number is called the cube of a number. Cubing is used in comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about cubes of 77.

Cube of 77

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 77 can be written as (773), which is the exponential form.

Or it can also be written in arithmetic form as, 77 × 77 × 77.

How to Calculate the Value of Cube of 77

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.

  • By Multiplication Method
     
  • Using a Formula (a3)
     
  • Using a Calculator

By Multiplication Method

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. 773 = 77 × 77 × 77

Step 2: You get 456,533 as the answer. Hence, the cube of 77 is 456,533.

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Using a Formula (\(a^3\))

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 77 into two parts. Let (a = 70) and (b = 7), so (a + b = 77).

Step 2: Now, apply the formula (a + b)3 = a3 + 3a2b + 3ab2 + b3

Step 3: Calculate each term a3 = 703 3a2b = 3 × 702× 7, 3ab2 = 3× 70× 72 b3 = 73

Step 4: Add all the terms together: (a + b)3 = a3 + 3a2b + 3ab2 + b3 

(70 + 7)3 = 703 + 3 × 702 × 7 + 3 × 70 × 72 + 73 (773 = 343000 + 102900 + 10290 + 343) (773 = 456,533)

Step 5: Hence, the cube of 77 is 456,533.

Using a Calculator

To find the cube of 77 using a calculator, input the number 77 and use the cube function (if available) or multiply 77 × 77 × 77. This operation calculates the value of 773, resulting in 456,533. 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

Step 3: If the calculator has a cube function, press it to calculate 773.

Step 4: If there is no cube function on the calculator, simply multiply 77 three times manually.

Step 5: The calculator will display 456,533.

Tips and Tricks for the Cube of 77

  • The cube of any even number is always even, while the cube of any odd number is always odd.
     
  • The product of two or more perfect cube numbers is always a perfect cube.
     
  • A perfect cube can always be expressed as the product of three identical groups of equal prime factors.

Common Mistakes to Avoid When Calculating the Cube of 77

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:

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Problem 1

What is the cube and cube root of 77?

Okay, lets begin

The cube of 77 is 456,533 and the cube root of 77 is approximately 4.254.

Explanation

First, let’s find the cube of 77.

We know that the cube of a number is x3 = y

Where x is the given number, and y is the cubed value of that number.

So, we get 773 = 456,533.

Next, we must find the cube root of 77.

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  ∛77 ≈ 4.254.

Hence, the cube of 77 is 456,533 and the cube root of 77 is approximately 4.254.

Well explained 👍

Problem 2

If the side length of the cube is 77 cm, what is the volume?

Okay, lets begin

The volume is 456,533 cm³.

Explanation

Use the volume formula for a cube V = Side3.

Substitute 77 for the side length: V = 773 = 456,533 cm3.

Well explained 👍

Problem 3

How much larger is \(77^3\) than \(70^3\)?

Okay, lets begin

773 - 703 = 113,533.

Explanation

First find the cube of 773, that is 456,533.

Next, find the cube of 703, which is 343,000.

Now, find the difference between them using the subtraction method. 456,533 – 343,000 = 113,533

Therefore, the 773 is 113,533 larger than 703.

Well explained 👍

Problem 4

If a cube with a side length of 77 cm is compared to a cube with a side length of 7 cm, how much larger is the volume of the larger cube?

Okay, lets begin

The volume of the cube with a side length of 77 cm is 456,533 cm³.

Explanation

To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).

Cubing 77 means multiplying 77 by itself three times: 77 × 77 = 5,929, and then 5,929 × 77 = 456,533.

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 cm³.

Well explained 👍

Problem 5

Estimate the cube of 76.9 using the cube of 77.

Okay, lets begin

The cube of 76.9 is approximately 456,533.

Explanation

First, identify the cube of 77,

The cube of 77 is 773 = 456,533.

Since 76.9 is only a tiny bit less than 77, the cube of 76.9 will be almost the same as the cube of 77.

The cube of 76.9 is approximately 456,533 because the difference between 76.9 and 77 is very small.

So, we can approximate the value as 456,533.

Well explained 👍

FAQs on Cube of 77

1.What are the perfect cubes up to 77?

The perfect cubes up to 77 are 1, 8, 27, and 64.

2.How do you calculate \(77^3\)?

To calculate 773, use the multiplication method, 77 × 77 × 77, which equals 456,533.

3.What is the meaning of \(77^3\)?

773 means 77 multiplied by itself three times, or 77 × 77 × 77.

4.What is the cube root of 77?

5.Is 77 a perfect cube?

No, 77 is not a perfect cube because no integer multiplied by itself three times equals 77.

Important Glossaries for Cube of 77

  • Binomial Formula: It is an algebraic expression used to expand the powers of a number, written as ( a + b)n, where ‘n’ is a positive integer raised to the base. The formula is used to find the square and cube of a number.
  • Cube of a Number: Multiplying a number by itself three times is called the cube of a number.
  • Exponential Form: It is a way of expressing numbers using a base and an exponent (or power), where the exponent value indicates how many times the base is multiplied by itself. For example, 23 represents 2 × 2 × 2 equals 8
  • Cube Root: The cube root of a number is a value that, when multiplied by itself three times, gives the original number. It is denoted as  ∛x.
  • Volume of a Cube: It refers to the amount of space occupied by a cube and is calculated by raising the side length to the power of three V = Side3.

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Jaskaran Singh Saluja

About the Author

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.

Fun Fact

: He loves to play the quiz with kids through algebra to make kids love it.