Cube of 748
2026-02-28 13:09 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 748.

Cube of 748

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 748 can be written as 748³, which is the exponential form. Or it can also be written in arithmetic form as 748 × 748 × 748.

How to Calculate the Value of Cube of 748

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 you to cube 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. 748³ = 748 × 748 × 748

Step 2: You get 418,637,952 as the answer. Hence, the cube of 748 is 418,637,952.

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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 748 into two parts. Let a = 700 and b = 48, so a + b = 748

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

Step 3: Calculate each term

a³ = 700³

3a²b = 3 × 700² × 48

3ab² = 3 × 700 × 48²

b³ = 48³

Step 4: Add all the terms together:

(a + b)³ = a³ + 3a²b + 3ab² + b³

(700 + 48)³ = 700³ + 3 × 700² × 48 + 3 × 700 × 48² + 48³

748³ = 343,000,000 + 70,560,000 + 48,384,000 + 110,592

748³ = 418,637,952

Step 5: Hence, the cube of 748 is 418,637,952.

Using a Calculator

To find the cube of 748 using a calculator, input the number 748 and use the cube function (if available) or multiply 748 × 748 × 748. This operation calculates the value of 748³, resulting in 418,637,952. 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 4 and 8

Step 3: If the calculator has a cube function, press it to calculate 748³.

Step 4: If there is no cube function on the calculator, simply multiply 748 three times manually.

Step 5: The calculator will display 418,637,952.

Tips and Tricks for the Cube of 748

  • 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 748

There are some typical errors that might be made during the process of cubing a number. Let us take a look at five of the major mistakes that might be made:

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Problem 1

What is the cube and cube root of 748?

Okay, lets begin

The cube of 748 is 418,637,952 and the cube root of 748 is approximately 9.063.

Explanation

First, let’s find the cube of 748.

We know that the cube of a number is such that x³ = y, where x is the given number, and y is the cubed value of that number.

So, we get 748³ = 418,637,952.

Next, we must find the cube root of 748. We know that the cube root of a number is 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√748 ≈ 9.063.

Hence, the cube of 748 is 418,637,952 and the cube root of 748 is approximately 9.063.

Well explained 👍

Problem 2

If the side length of the cube is 748 cm, what is the volume?

Okay, lets begin

The volume is 418,637,952 cm³.

Explanation

Use the volume formula for a cube V = Side³.

Substitute 748 for the side length: V = 748³ = 418,637,952 cm³.

Well explained 👍

Problem 3

How much larger is 748³ than 700³?

Okay, lets begin

748³ – 700³ = 75,637,952.

Explanation

First, find the cube of 748³, which is 418,637,952.

Next, find the cube of 700³, which is 343,000,000.

Now, find the difference between them using the subtraction method. 418,637,952 – 343,000,000 = 75,637,952.

Therefore, 748³ is 75,637,952 larger than 700³.

Well explained 👍

Problem 4

If a cube with a side length of 748 cm is compared to a cube with a side length of 48 cm, how much larger is the volume of the larger cube?

Okay, lets begin

The volume of the cube with a side length of 748 cm is 418,637,952 cm³.

Explanation

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

Cubing 748 means multiplying 748 by itself three times: 748 × 748 = 559,504, and then 559,504 × 748 = 418,637,952.

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

Therefore, the volume of the cube is 418,637,952 cm³.

Well explained 👍

Problem 5

Estimate the cube of 747.9 using the cube of 748.

Okay, lets begin

The cube of 747.9 is approximately 418,637,952.

Explanation

First, identify the cube of 748, The cube of 748 is 748³ = 418,637,952.

Since 747.9 is only a tiny bit less than 748, the cube of 747.9 will be almost the same as the cube of 748.

The cube of 747.9 is approximately 418,637,952 because the difference between 747.9 and 748 is very small.

So, we can approximate the value as 418,637,952.

Well explained 👍

FAQs on Cube of 748

1.What are the perfect cubes up to 748?

Some perfect cubes up to 748 are 1, 8, 27, 64, 125, 216, 343, and 512.

2.How do you calculate 748³?

To calculate 748³, use the multiplication method: 748 × 748 × 748, which equals 418,637,952.

3.What is the meaning of 748³?

748³ means 748 multiplied by itself three times, or 748 × 748 × 748.

4.What is the cube root of 748?

5.Is 748 a perfect cube?

No, 748 is not a perfect cube because no integer multiplied by itself three times equals 748.

Important Glossaries for Cube of 748

  • 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.
  • Cube Root: The cube root of a number is a value that, when multiplied by itself three times, gives the original number.
  • Perfect Cube: A perfect cube is a number that can be expressed as the cube of an integer. For example, 8 is a perfect cube because it is equal to 2³.

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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.