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

Last updated on May 27th, 2025

Math Whiteboard Illustration

Cube of 870

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 while comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about the cube of 870.

Cube of 870 for UK Students
Professor Greenline from BrightChamps

Cube of 870

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 870 can be written as 870³, which is the exponential form. Or it can also be written in arithmetic form as, 870 × 870 × 870.

Professor Greenline from BrightChamps

How to Calculate the Value of Cube of 870

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 Using a Calculator

Professor Greenline from BrightChamps

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. 870³ = 870 × 870 × 870 Step 2: You get 658,503,000 as the answer. Hence, the cube of 870 is 658,503,000.

Professor Greenline from BrightChamps

Using a Formula (a³)

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 870 into two parts. Let a = 800 and b = 70, so a + b = 870 Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³ Step 3: Calculate each term a³ = 800³ 3a²b = 3 × 800² × 70 3ab² = 3 × 800 × 70² b³ = 70³ Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (800 + 70)³ = 800³ + 3 × 800² × 70 + 3 × 800 × 70² + 70³ 870³ = 512,000,000 + 134,400,000 + 117,600,000 + 343,000 870³ = 658,503,000 Step 5: Hence, the cube of 870 is 658,503,000.

Professor Greenline from BrightChamps

Using a Calculator

To find the cube of 870 using a calculator, input the number 870 and use the cube function (if available) or multiply 870 × 870 × 870. This operation calculates the value of 870³, resulting in 658,503,000. It’s a quick way to determine the cube without manual computation. Step 1: Ensure the calculator is functioning properly. Step 2: Press 8 followed by 7, then 0 Step 3: If the calculator has a cube function, press it to calculate 870³. Step 4: If there is no cube function on the calculator, simply multiply 870 three times manually. Step 5: The calculator will display 658,503,000.

Professor Greenline from BrightChamps

Tips and Tricks for the Cube of 870

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 870

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:

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

Kids might multiply the numbers only twice. That is, 870 × 870 and not 870 × 870 × 870. Always remember that 870³ = 870 × 870 × 870.

Max from BrightChamps Saying "Hey"

Solved Examples on Cube of 870

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

Problem 1

What is the cube and cube root of 870?

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

The cube of 870 is 658,503,000 and the cube root of 870 is approximately 9.546.

Explanation

First, let’s find the cube of 870. We know that cube of a number, such that x³ = y Where x is the given number, and y is the cubed value of that number So, we get 870³ = 658,503,000 Next, we must find the cube root of 870 We know that cube root of a number ‘x’, such that ³√x = y Where ‘x’ is the given number, and y is the cube root value of the number So, we get ³√870 ≈ 9.546 Hence the cube of 870 is 658,503,000 and the cube root of 870 is approximately 9.546.

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

Problem 2

If the side length of the cube is 870 cm, what is the volume?

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

The volume is 658,503,000 cm³.

Explanation

Use the volume formula for a cube V = Side³. Substitute 870 for the side length: V = 870³ = 658,503,000 cm³.

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

Problem 3

How much larger is 870³ than 800³?

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

870³ – 800³ = 146,503,000.

Explanation

First find the cube of 870³, that is 658,503,000 Next, find the cube of 800³, which is 512,000,000 Now, find the difference between them using the subtraction method. 658,503,000 – 512,000,000 = 146,503,000 Therefore, the 870³ is 146,503,000 larger than 800³.

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

Problem 4

If a cube with a side length of 870 cm is compared to a cube with a side length of 70 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 870 cm is 658,503,000 cm³

Explanation

To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object). Cubing 870 means multiplying 870 by itself three times: 870 × 870 = 756,900, and then 756,900 × 870 = 658,503,000. The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube. Therefore, the volume of the cube is 658,503,000 cm³.

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

Problem 5

Estimate the cube 869.9 using the cube 870.

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

The cube of 869.9 is approximately 658,503,000.

Explanation

First, identify the cube of 870, The cube of 870 is 870³ = 658,503,000. Since 869.9 is only a tiny bit less than 870, the cube of 869.9 will be almost the same as the cube of 870. The cube of 869.9 is approximately 658,503,000 because the difference between 869.9 and 870 is very small. So, we can approximate the value as 658,503,000.

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

FAQs on Cube of 870

1.What are the perfect cubes up to 870?

Math FAQ Answers Dropdown Arrow

2.How do you calculate 870³?

Math FAQ Answers Dropdown Arrow

3.What is the meaning of 870³?

Math FAQ Answers Dropdown Arrow

4.What is the cube root of 870?

Math FAQ Answers Dropdown Arrow

5.Is 870 a perfect cube?

Math FAQ Answers Dropdown Arrow

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

Math FAQ Answers Dropdown Arrow

7.How can cultural or local activities in United Kingdom support learning Algebra topics such as Cube of 870?

Math FAQ Answers Dropdown Arrow

8.How do technology and digital tools in United Kingdom support learning Algebra and Cube of 870?

Math FAQ Answers Dropdown Arrow

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

Math FAQ Answers Dropdown Arrow
Professor Greenline from BrightChamps

Important Glossaries for Cube of 870

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. Volume of a Cube: The space inside a cube, calculated by raising the side length of the cube to the power of three. Perfect Cube: A number that can be expressed as the product of three identical integers. For example, 27 is a perfect cube because it is 3 × 3 × 3.

Professor Greenline from BrightChamps

About BrightChamps in United Kingdom

At BrightChamps, we know algebra is more than just figures—it’s a doorway to endless opportunities! Our mission is to help children across the United Kingdom grasp vital math skills, like today’s spotlight on the Cube of 870, with an exciting focus on understanding cubes—in a lively, straightforward, and enjoyable way. Whether your child is figuring out the speed of a roller coaster at Alton Towers, keeping score at a local football match, or managing pocket money for the latest gadgets, mastering algebra gives them the confidence to face everyday challenges. Our interactive sessions keep learning fun and simple. Because children in the UK have different ways of learning, we adapt our approach to fit their unique styles. From London’s busy streets to the scenic Cornwall coast, BrightChamps makes algebra relatable and thrilling throughout the UK. Let’s turn cubes into a fun part of every child’s math adventure!
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