BrightChamps Logo
Login
Creative Math Ideas Image
Live Math Learners Count Icon100 Learners

Last updated on May 27th, 2025

Math Whiteboard Illustration

Cube of 795

Professor Greenline Explaining Math Concepts

When a number is multiplied by itself thrice, the resultant number is called the cube of a number. Cubing is used when comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about the cube of 795.

Cube of 795 for Singaporean Students
Professor Greenline from BrightChamps

Cube of 795

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 795 can be written as \(795^3\), which is the exponential form. Or it can also be written in arithmetic form as, 795 \(\times\) 795 \(\times\) 795.

Professor Greenline from BrightChamps

How to Calculate the Value of Cube of 795

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 (\(a^3\)), or by using a calculator. These three methods will help in cubing the numbers faster and easier without feeling confused or stuck while evaluating the answers. By Multiplication Method Using a Formula Using a Calculator

Professor Greenline from BrightChamps

By Multiplication Method

The multiplication method is a process in mathematics used to find the product of numbers by combining them through repeated multiplication. It is a fundamental operation that forms the basis for more complex mathematical concepts. Step 1: Write down the cube of the given number. \(795^3 = 795 \times 795 \times 795\) Step 2: You get 502,434,375 as the answer. Hence, the cube of 795 is 502,434,375.

Professor Greenline from BrightChamps

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 \(a^3 + 3a^2b + 3ab^2 + b^3\). Step 1: Split the number 795 into two parts. Let \(a = 790\) and \(b = 5\), so \(a + b = 795\). Step 2: Now, apply the formula \((a + b)^3 = a^3 + 3a^2b + 3ab^2 + b^3\). Step 3: Calculate each term: \(a^3 = 790^3\) \(3a^2b = 3 \times 790^2 \times 5\) \(3ab^2 = 3 \times 790 \times 5^2\) \(b^3 = 5^3\) Step 4: Add all the terms together: \((a + b)^3 = a^3 + 3a^2b + 3ab^2 + b^3\) \((790 + 5)^3 = 790^3 + 3 \times 790^2 \times 5 + 3 \times 790 \times 5^2 + 5^3\) \(795^3 = 493,039,000 + 93,525 + 59,250 + 125\) \(795^3 = 502,434,375\) Step 5: Hence, the cube of 795 is 502,434,375.

Professor Greenline from BrightChamps

Using a Calculator

To find the cube of 795 using a calculator, input the number 795 and use the cube function (if available) or multiply 795 \(\times\) 795 \(\times\) 795. This operation calculates the value of \(795^3\), resulting in 502,434,375. It’s a quick way to determine the cube without manual computation. Step 1: Ensure the calculator is functioning properly. Step 2: Enter 795. Step 3: If the calculator has a cube function, press it to calculate \(795^3\). Step 4: If there is no cube function on the calculator, simply multiply 795 three times manually. Step 5: The calculator will display 502,434,375.

Professor Greenline from BrightChamps

Tips and Tricks for the Cube of 795

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.

Max Pointing Out Common Math Mistakes

Common Mistakes to Avoid When Calculating the Cube of 795

There are some typical errors that might occur during the process of cubing a number. Let us take a look at five of the major mistakes that people might make:

Mistake 1

Red Cross Icon Indicating Mistakes to Avoid in This Math Topic

Incorrect Multiplication

Green Checkmark Icon Indicating Correct Solutions in This Math Topic

There might be a mistake in multiplying the numbers only twice. That is, 795 \(\times\) 795 and not 795 \(\times\) 795 \(\times\) 795. Always remember that \(795^3 = 795 \times 795 \times 795\).

Max from BrightChamps Saying "Hey"

Solved Examples on Cube of 795

Ray, the Character from BrightChamps Explaining Math Concepts
Max, the Girl Character from BrightChamps

Problem 1

What is the cube and cube root of 795?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

The cube of 795 is 502,434,375, and the cube root of 795 is approximately 9.283.

Explanation

First, let’s find the cube of 795. We know that the cube of a number is \(x^3 = y\), where \(x\) is the given number, and \(y\) is the cubed value of that number. So, we get \(795^3 = 502,434,375\). Next, we must find the cube root of 795. We know that the cube root of a number ‘x’ is \(\sqrt[3]{x} = y\), where ‘x’ is the given number, and ‘y’ is the cube root value of the number. So, we get \(\sqrt[3]{795} \approx 9.283\). Hence, the cube of 795 is 502,434,375, and the cube root of 795 is approximately 9.283.

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 2

If the side length of the cube is 795 cm, what is the volume?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

The volume is 502,434,375 cm\(^3\).

Explanation

Use the volume formula for a cube \(V = \text{Side}^3\). Substitute 795 for the side length: \(V = 795^3 = 502,434,375\) cm\(^3\).

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 3

How much larger is \(795^3\) than \(790^3\)?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

\(795^3 - 790^3 = 9,061,875\).

Explanation

First, find the cube of 795, which is 502,434,375. Next, find the cube of 790, which is 493,372,500. Now, find the difference between them using the subtraction method: 502,434,375 - 493,372,500 = 9,061,875. Therefore, \(795^3\) is 9,061,875 larger than \(790^3\).

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 4

If a cube with a side length of 795 cm is compared to a cube with a side length of 5 cm, how much larger is the volume of the larger cube?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

The volume of the cube with a side length of 795 cm is 502,434,375 cm\(^3\).

Explanation

To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object). Cubing 795 means multiplying 795 by itself three times: 795 \(\times\) 795 = 632,025, and 632,025 \(\times\) 795 = 502,434,375. The unit of volume is cubic centimeters (cm\(^3\)) because we are calculating the space inside the cube. Therefore, the volume of the cube is 502,434,375 cm\(^3\).

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 5

Estimate the cube of 794.9 using the cube of 795.

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

The cube of 794.9 is approximately 502,434,375.

Explanation

First, identify the cube of 795. The cube of 795 is \(795^3 = 502,434,375\). Since 794.9 is only a tiny bit less than 795, the cube of 794.9 will be almost the same as the cube of 795. The cube of 794.9 is approximately 502,434,375 because the difference between 794.9 and 795 is very small. So, we can approximate the value as 502,434,375.

Max from BrightChamps Praising Clear Math Explanations
Ray Thinking Deeply About Math Problems

FAQs on Cube of 795

1.What are the perfect cubes up to 795?

Math FAQ Answers Dropdown Arrow

2.How do you calculate \(795^3\)?

Math FAQ Answers Dropdown Arrow

3.What is the meaning of \(795^3\)?

Math FAQ Answers Dropdown Arrow

4.What is the cube root of 795?

Math FAQ Answers Dropdown Arrow

5.Is 795 a perfect cube?

Math FAQ Answers Dropdown Arrow

6.How does learning Algebra help students in Singapore make better decisions in daily life?

Math FAQ Answers Dropdown Arrow

7.How can cultural or local activities in Singapore support learning Algebra topics such as Cube of 795?

Math FAQ Answers Dropdown Arrow

8.How do technology and digital tools in Singapore support learning Algebra and Cube of 795?

Math FAQ Answers Dropdown Arrow

9.Does learning Algebra support future career opportunities for students in Singapore?

Math FAQ Answers Dropdown Arrow
Professor Greenline from BrightChamps

Important Glossaries for Cube of 795

Binomial Formula: 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: 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, \(2^3\) represents 2 \(\times\) 2 \(\times\) 2 equals 8. Cube Root: The number that, when multiplied by itself three times, gives the original number. For example, the cube root of 27 is 3. Perfect Cube: A number that can be expressed as the cube of an integer. For example, 27 is a perfect cube because it can be written as \(3^3\).

Professor Greenline from BrightChamps

About BrightChamps in Singapore

At BrightChamps, algebra is more than just digits—it opens doors to countless possibilities! We are passionate about supporting kids all across Singapore in mastering vital math skills, like today’s focus on the Cube of 795, with a special focus on cubes—in a lively, easy-to-understand, and enjoyable way. Whether your child is figuring out how fast a roller coaster moves at Universal Studios Singapore, tracking scores at local football matches, or managing their allowance for the newest gadgets, mastering algebra builds their confidence in everyday life. Our interactive lessons make math fun and approachable. Since kids in Singapore learn differently, we customize our teaching to suit each learner’s style. From the city’s bustling streets to its beautiful gardens, BrightChamps brings algebra to life, making it exciting and meaningful across Singapore. Let’s make cubes a fun part of every child’s math journey!
Math Teacher Background Image
Math Teacher Image

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.

Math Teacher Fun Facts Image
Max, the Girl Character from BrightChamps

Fun Fact

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

INDONESIA - Axa Tower 45th floor, JL prof. Dr Satrio Kav. 18, Kel. Karet Kuningan, Kec. Setiabudi, Kota Adm. Jakarta Selatan, Prov. DKI Jakarta
INDIA - H.No. 8-2-699/1, SyNo. 346, Rd No. 12, Banjara Hills, Hyderabad, Telangana - 500034
SINGAPORE - 60 Paya Lebar Road #05-16, Paya Lebar Square, Singapore (409051)
USA - 251, Little Falls Drive, Wilmington, Delaware 19808
VIETNAM (Office 1) - Hung Vuong Building, 670 Ba Thang Hai, ward 14, district 10, Ho Chi Minh City
VIETNAM (Office 2) - 143 Nguyễn Thị Thập, Khu đô thị Him Lam, Quận 7, Thành phố Hồ Chí Minh 700000, Vietnam
Dubai - BrightChamps, 8W building 5th Floor, DAFZ, Dubai, United Arab Emirates
UK - Ground floor, Redwood House, Brotherswood Court, Almondsbury Business Park, Bristol, BS32 4QW, United Kingdom