Cube of 70
2026-02-28 08:52 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 when comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about cubes of 70.

Cube of 70

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 70 can be written as 703, which is the exponential form.

Or it can also be written in arithmetic form as, 70 × 70 × 70.

How to Calculate the Value of Cube of 70

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 (a3)
     
  • Using a Calculator

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. 703 = 70 × 70 × 70

Step 2: You get 343,000 as the answer.

Hence, the cube of 70 is 343,000.

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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 70 into two parts, as and . Let a = 60 and b = 10, so a + b = 70

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

Step 3: Calculate each term a3 = 603 3a2b = 3 × 602 × 10 3ab2 = 3 × 60 × 102 b3 = 103

Step 4: Add all the terms together: (a + b)3 = a3 + 3a2b + 3ab2 + b3 (60 + 10)3 = 603 + 3 × 602 × 10 + 3 × 60 × 102 + 103 703 = 216,000 + 108,000 + 18,000 + 1,000 703 = 343,000

Step 5: Hence, the cube of 70 is 343,000.

Using a Calculator

To find the cube of 70 using a calculator, input the number 70 and use the cube function (if available) or multiply 70 × 70 × 70. This operation calculates the value of 703, resulting in 343,000. 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 0

Step 3: If the calculator has a cube function, press it to calculate 703.

Step 4: If there is no cube function on the calculator, simply multiply 70 three times manually.

Step 5: The calculator will display 343,000.

Tips and Tricks for the Cube of 70

  • 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.

Common Mistakes to Avoid When Calculating the Cube of 70

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 70?

Okay, lets begin

The cube of 70 is 343,000 and the cube root of 70 is approximately 4.121.

Explanation

First, let’s find the cube of 70.

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 703 = 343,000

Next, we must find the cube root of 70 We know that 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 ∛70 ≈ 4.121

Hence the cube of 70 is 343,000 and the cube root of 70 is approximately 4.121.

Well explained 👍

Problem 2

If the side length of the cube is 70 cm, what is the volume?

Okay, lets begin

The volume is 343,000 cm^3.

Explanation

Use the volume formula for a cube V = Side3.

Substitute 70 for the side length: V = 703 = 343,000 cm3.

Well explained 👍

Problem 3

How much larger is 70^3 than 60^3?

Okay, lets begin

70^3 – 60^3 = 127,000.

Explanation

First find the cube of 703, that is 343,000

Next, find the cube of 603, which is 216,000

Now, find the difference between them using the subtraction method. 343,000 – 216,000 = 127,000

Therefore, the 703 is 127,000 larger than 603.

Well explained 👍

Problem 4

If a cube with a side length of 70 cm is compared to a cube with a side length of 20 cm, how much larger is the volume of the larger cube?

Okay, lets begin

The volume of the cube with a side length of 70 cm is 343,000 cm^3

Explanation

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

Cubing 70 means multiplying 70 by itself three times: 70 × 70 = 4,900, and then 4,900 × 70 = 343,000.

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

Therefore, the volume of the cube is 343,000 cm3.

Well explained 👍

Problem 5

Estimate the cube 69.9 using the cube 70.

Okay, lets begin

The cube of 69.9 is approximately 343,000.

Explanation

First, identify the cube of 70,

The cube of 70 is 703 = 343,000.

Since 69.9 is only a tiny bit less than 70, the cube of 69.9 will be almost the same as the cube of 70.

The cube of 69.9 is approximately 343,000 because the difference between 69.9 and 70 is very small.

So, we can approximate the value as 343,000.

Well explained 👍

FAQs on Cube of 70

1.What are the perfect cubes up to 70?

The perfect cubes up to 70 are 1, 8, 27, and 64.

2.How do you calculate 70^3?

To calculate 703, use the multiplication method, 70 × 70 × 70, which equals 343,000.

3.What is the meaning of 70^3?

703 means 70 multiplied by itself three times, or 70 × 70 × 70.

4.What is the cube root of 70?

5.Is 70 a perfect cube?

No, 70 is not a perfect cube because no integer multiplied by itself three times equals 70.

Important Glossaries for Cube of 70

  • 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, 23 represents 2 × 2 × 2, which equals 8.
  • Perfect Cube: A number that is the cube of an integer, such as 1, 8, 27, 64, 125, etc.
  • Volume of a Cube: The measure of the space occupied by the cube, calculated as the side length cubed (side^3).

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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.