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

Last updated on May 26th, 2025

Math Whiteboard Illustration

Cube of -110

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 useful in comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about the cube of -110.

Cube of -110 for Singaporean Students
Professor Greenline from BrightChamps

Cube of -110

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 -110 can be written as (-110)^3, which is the exponential form. Or it can also be written in arithmetic form as, -110 × -110 × -110.

Professor Greenline from BrightChamps

How to Calculate the Value of the Cube of -110

To check whether a number is a cube number or not, we can use the following three methods: the multiplication method, a factor formula (a^3), or by using a calculator. These three methods will help people cube 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 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. (-110)^3 = -110 × -110 × -110 Step 2: You get -1,331,000 as the answer. Hence, the cube of -110 is -1,331,000.

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 -110 into two parts, as a and b. Let a = -100 and b = -10, so a + b = -110 Step 2: Now, apply the formula (a + b)^3 = a^3 + 3a^2b + 3ab^2 + b^3 Step 3: Calculate each term a^3 = (-100)^3 3a^2b = 3 × (-100)^2 × -10 3ab^2 = 3 × -100 × (-10)^2 b^3 = (-10)^3 Step 4: Add all the terms together: (a + b)^3 = a^3 + 3a^2b + 3ab^2 + b^3 (-100 - 10)^3 = (-100)^3 + 3 × (-100)^2 × -10 + 3 × -100 × (-10)^2 + (-10)^3 (-110)^3 = -1,000,000 - 300,000 - 30,000 - 1,000 (-110)^3 = -1,331,000 Step 5: Hence, the cube of -110 is -1,331,000.

Professor Greenline from BrightChamps

Using a Calculator

To find the cube of -110 using a calculator, input the number -110 and use the cube function (if available) or multiply -110 × -110 × -110. This operation calculates the value of (-110)^3, resulting in -1,331,000. It’s a quick way to determine the cube without manual computation. Step 1: Ensure the calculator is functioning properly. Step 2: Input -110. Step 3: If the calculator has a cube function, press it to calculate (-110)^3. Step 4: If there is no cube function on the calculator, simply multiply -110 three times manually. Step 5: The calculator will display -1,331,000.

Professor Greenline from BrightChamps

Tips and Tricks for the Cube of -110

The cube of any negative number is always negative, while the cube of any positive number is always positive. 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 -110

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:

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

One might multiply the numbers only twice. That is, -110 × -110 and not -110 × -110 × -110. Always remember that (-110)^3 = -110 × -110 × -110.

Max from BrightChamps Saying "Hey"

Solved Examples on Cube of -110

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

Problem 1

What is the cube and cube root of -110?

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

The cube of -110 is -1,331,000 and the cube root of -110 is approximately -4.791.

Explanation

First, let’s find the cube of -110. We know that cube of a number, such that x^3 = y Where x is the given number, and y is the cubed value of that number So, we get (-110)^3= -1,331,000 Next, we must find the cube root of -110 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 ∛(-110) ≈ -4.791 Hence the cube of -110 is -1,331,000 and the cube root of -110 is approximately -4.791.

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

Problem 2

If the side length of a cube is -110 cm, what is the volume?

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

The volume is -1,331,000 cubic cm.

Explanation

Use the volume formula for a cube V = Side^3. Substitute -110 for the side length: V = (-110)^3 = -1,331,000 cubic cm.

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

Problem 3

How much larger is (-110)^3 than (-100)^3?

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

(-110)^3 - (-100)^3 = -331,000.

Explanation

First, find the cube of (-110), which is -1,331,000. Next, find the cube of (-100), which is -1,000,000. Now, find the difference between them using the subtraction method. -1,331,000 - (-1,000,000) = -331,000 Therefore, (-110)^3 is -331,000 smaller than (-100)^3.

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

Problem 4

If a cube with a side length of -110 cm is compared to a cube with a side length of -10 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 -110 cm is -1,331,000 cubic cm.

Explanation

To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object). Cubing -110 means multiplying -110 by itself three times: -110 × -110 = 12,100, and then 12,100 × -110 = -1,331,000. The unit of volume is cubic centimeters (cubic cm), because we are calculating the space inside the cube. Therefore, the volume of the cube is -1,331,000 cubic cm.

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

Problem 5

Estimate the cube of -109.9 using the cube of -110.

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

The cube of -109.9 is approximately -1,331,000.

Explanation

First, identify the cube of -110, The cube of -110 is (-110)^3 = -1,331,000. Since -109.9 is only a tiny bit more than -110, the cube of -109.9 will be almost the same as the cube of -110. The cube of -109.9 is approximately -1,331,000 because the difference between -109.9 and -110 is very small. So, we can approximate the value as -1,331,000.

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

FAQs on Cube of -110

1.What are the perfect cubes up to -110?

Math FAQ Answers Dropdown Arrow

2.How do you calculate (-110)^3?

Math FAQ Answers Dropdown Arrow

3.What is the meaning of (-110)^3?

Math FAQ Answers Dropdown Arrow

4.What is the cube root of -110?

Math FAQ Answers Dropdown Arrow

5.Is -110 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 -110?

Math FAQ Answers Dropdown Arrow

8.How do technology and digital tools in Singapore support learning Algebra and Cube of -110?

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 -110

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. Perfect Cube: A number that is the cube of an integer. Cube Root: A value that, when multiplied by itself three times, gives the original number.

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 -110, 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