Cube of 701
2026-02-28 00:44 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 while comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about cubes of 701.

Cube of 701

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 701 can be written as 701³, which is the exponential form. Or it can also be written in arithmetic form as, 701 × 701 × 701.

How to Calculate the Value of Cube of 701

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 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. 701³ = 701 × 701 × 701

Step 2: You get 344,295,901 as the answer. Hence, the cube of 701 is 344,295,901.

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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 701 into two parts, as 700 and 1. Let a = 700 and b = 1, so a + b = 701

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

Step 3: Calculate each term

a³ = 700³

3a²b = 3 × 700² × 1

3ab² = 3 × 700 × 1²

b³ = 1³

Step 4: Add all the terms together:

(a + b)³ = a³ + 3a²b + 3ab² + b³

(700 + 1)³ = 700³ + 3 × 700² × 1 + 3 × 700 × 1² + 1³

701³ = 343,000,000 + 1,470,000 + 2,100 + 1

701³ = 344,295,901

Step 5: Hence, the cube of 701 is 344,295,901.

Using a Calculator

To find the cube of 701 using a calculator, input the number 701 and use the cube function (if available) or multiply 701 × 701 × 701. This operation calculates the value of 701³, resulting in 344,295,901. 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 and 1

Step 3: If the calculator has a cube function, press it to calculate 701³.

Step 4: If there is no cube function on the calculator, simply multiply 701 three times manually.

Step 5: The calculator will display 344,295,901.

Tips and Tricks for the Cube of 701

  • 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 701

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 701?

Okay, lets begin

The cube of 701 is 344,295,901 and the cube root of 701 is approximately 8.879.

Explanation

First, let’s find the cube of 701.

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 701³ = 344,295,901.

Next, we must find the cube root of 701.

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 ³√701 ≈ 8.879.

Hence, the cube of 701 is 344,295,901 and the cube root of 701 is approximately 8.879.

Well explained 👍

Problem 2

If the side length of the cube is 701 cm, what is the volume?

Okay, lets begin

The volume is 344,295,901 cm³.

Explanation

Use the volume formula for a cube V = Side³.

Substitute 701 for the side length: V = 701³ = 344,295,901 cm³.

Well explained 👍

Problem 3

How much larger is 701³ than 700³?

Okay, lets begin

701³ – 700³ = 2,101.

Explanation

First, find the cube of 701, which is 344,295,901.

Next, find the cube of 700, which is 343,000,000.

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

344,295,901 – 343,000,000 = 1,295,901.

Therefore, 701³ is 1,295,901 larger than 700³.

Well explained 👍

Problem 4

If a cube with a side length of 701 cm is compared to a cube with a side length of 700 cm, how much larger is the volume of the larger cube?

Okay, lets begin

The volume of the cube with a side length of 701 cm is 1,295,901 cm³ larger than the cube with a side of 700 cm.

Explanation

To find the volume of the larger cube, multiply the side length by itself three times.

The volume of the cube with side length 701 cm is 344,295,901 cm³.

The volume of the cube with side length 700 cm is 343,000,000 cm³.

The difference in volume is 344,295,901 – 343,000,000 = 1,295,901 cm³.

Well explained 👍

Problem 5

Estimate the cube of 700.1 using the cube of 701.

Okay, lets begin

The cube of 700.1 is approximately 344,295,901.

Explanation

First, identify the cube of 701, The cube of 701 is 701³ = 344,295,901.

Since 700.1 is only a tiny bit less than 701, the cube of 700.1 will be almost the same as the cube of 701.

The cube of 700.1 is approximately 344,295,901 because the difference between 700.1 and 701 is very small.

So, we can approximate the value as 344,295,901.

Well explained 👍

FAQs on Cube of 701

1.What are the perfect cubes near 701?

The perfect cubes near 701 are 343,000,000 (700³) and 351,180,000 (702³).

2.How do you calculate 701³?

To calculate 701³, use the multiplication method, 701 × 701 × 701, which equals 344,295,901.

3.What is the meaning of 701³?

701³ means 701 multiplied by itself three times, or 701 × 701 × 701.

4.What is the cube root of 701?

5.Is 701 a perfect cube?

No, 701 is not a perfect cube because no integer multiplied by itself three times equals 701.

Important Glossaries for Cube of 701

  • Binomial Formula: An algebraic expression used to expand the powers of a number, written as (a + b)ⁿ, where ‘n’ is a positive integer. 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 can be expressed as the product of an integer multiplied by itself twice more.
  • Cube Root: The number that produces a given number when cubed. The cube root of x is written as ³√x.

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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.