Cube of 490
2026-02-28 08:32 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 while comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about cubes of 490.

Cube of 490

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 490 can be written as 490³, which is the exponential form. Or it can also be written in arithmetic form as, 490 × 490 × 490.

How to Calculate the Value of Cube of 490

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.

  1. By Multiplication Method
  2. Using a Formula
  3. Using a Calculator

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. 490³ = 490 × 490 × 490

Step 2: You get 117,649,000 as the answer. Hence, the cube of 490 is 117,649,000.

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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 490 into two parts. Let a = 400 and b = 90, so a + b = 490

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

Step 3: Calculate each term a³ = 400³

3a²b = 3 × 400² × 90

3ab² = 3 × 400 × 90²

b³ = 90³

Step 4: Add all the terms together:

(a + b)³ = a³ + 3a²b + 3ab² + b³

(400 + 90)³ = 400³ + 3 × 400² × 90 + 3 × 400 × 90² + 90³

490³ = 64,000,000 + 43,200,000 + 9,720,000 + 729,000

490³ = 117,649,000

Step 5: Hence, the cube of 490 is 117,649,000.

Using a Calculator

To find the cube of 490 using a calculator, input the number 490 and use the cube function (if available) or multiply 490 × 490 × 490. This operation calculates the value of 490³, resulting in 117,649,000. It’s a quick way to determine the cube without manual computation.

Step 1: Ensure the calculator is functioning properly.

Step 2: Press 4 followed by 9 and 0

Step 3: If the calculator has a cube function, press it to calculate 490³.

Step 4: If there is no cube function on the calculator, simply multiply 490 three times manually.

Step 5: The calculator will display 117,649,000.

Tips and Tricks for the Cube of 490

  • 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 490

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 490?

Okay, lets begin

The cube of 490 is 117,649,000 and the cube root of 490 is approximately 7.876.

Explanation

First, let’s find the cube of 490.

We know that the 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 490³ = 117,649,000

Next, we must find the cube root of 490 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 ∛490 ≈ 7.876

Hence the cube of 490 is 117,649,000 and the cube root of 490 is approximately 7.876.

Well explained 👍

Problem 2

If the side length of the cube is 490 cm, what is the volume?

Okay, lets begin

The volume is 117,649,000 cm³.

Explanation

Use the volume formula for a cube V = Side³.

Substitute 490 for the side length: V = 490³ = 117,649,000 cm³.

Well explained 👍

Problem 3

How much larger is 490³ than 400³?

Okay, lets begin

490³ – 400³ = 53,649,000.

Explanation

First, find the cube of 490³, that is 117,649,000

Next, find the cube of 400³, which is 64,000,000

Now, find the difference between them using the subtraction method.

117,649,000 – 64,000,000 = 53,649,000

Therefore, 490³ is 53,649,000 larger than 400³.

Well explained 👍

Problem 4

If a cube with a side length of 490 cm is compared to a cube with a side length of 90 cm, how much larger is the volume of the larger cube?

Okay, lets begin

The volume of the cube with a side length of 490 cm is 117,649,000 cm³.

Explanation

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

Cubing 490 means multiplying 490 by itself three times: 490 × 490 = 240,100, and then 240,100 × 490 = 117,649,000.

The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.

Therefore, the volume of the cube is 117,649,000 cm³.

Well explained 👍

Problem 5

Estimate the cube of 489.9 using the cube of 490.

Okay, lets begin

The cube of 489.9 is approximately 117,649,000.

Explanation

First, identify the cube of 490, The cube of 490 is 490³ = 117,649,000.

Since 489.9 is only a tiny bit less than 490, the cube of 489.9 will be almost the same as the cube of 490.

The cube of 489.9 is approximately 117,649,000 because the difference between 489.9 and 490 is very small.

So, we can approximate the value as 117,649,000.

Well explained 👍

FAQs on Cube of 490

1.What are the perfect cubes up to 490?

The perfect cubes up to 490 are 1, 8, 27, 64, 125, 216, and 343.

2.How do you calculate 490³?

To calculate 490³, use the multiplication method, 490 × 490 × 490, which equals 117,649,000.

3.What is the meaning of 490³?

490³ means 490 multiplied by itself three times, or 490 × 490 × 490.

4.What is the cube root of 490?

5.Is 490 a perfect cube?

No, 490 is not a perfect cube because no integer multiplied by itself three times equals 490.

Important Glossaries for Cube of 490

  • 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, which equals 8.
  • Perfect Cube: A number that can be expressed as the cube of an integer.
  • Volume: The amount of space that a substance or object occupies, or that is enclosed within a container, especially when great. In the context of a cube, it is calculated as 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.