Last updated on May 29th, 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.
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.
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. 773 = 77 × 77 × 77
Step 2: You get 456,533 as the answer. Hence, the cube of 77 is 456,533.
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.
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.
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 77?
The cube of 77 is 456,533 and the cube root of 77 is approximately 4.254.
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.
If the side length of the cube is 77 cm, what is the volume?
The volume is 456,533 cm³.
Use the volume formula for a cube V = Side3.
Substitute 77 for the side length: V = 773 = 456,533 cm3.
How much larger is \(77^3\) than \(70^3\)?
773 - 703 = 113,533.
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.
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?
The volume of the cube with a side length of 77 cm is 456,533 cm³.
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.
Estimate the cube of 76.9 using the cube of 77.
The cube of 76.9 is approximately 456,533.
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.
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.