Cube of 148
2026-02-28 01:02 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 the sizes of objects or things with cubic measurements. In this topic, we shall learn about the cube of 148.

Cube of 148

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 148 can be written as 148³, which is the exponential form. Or it can also be written in arithmetic form as 148 × 148 × 148.

How to Calculate the Value of the Cube of 148

To check whether a number is a cube number or not, we can use the following three methods: 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. 148³ = 148 × 148 × 148

Step 2: Calculate the answer. You get 3,238,192 as the answer. Hence, the cube of 148 is 3,238,192.

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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 148 into two parts, as desired. Let a = 140 and b = 8, so a + b = 148

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

Step 3: Calculate each term a³ = 140³ 3a²b = 3 × 140² × 8 3ab² = 3 × 140 × 8² b³ = 8³

Step 4: Add all the terms together:

(a + b)³ = a³ + 3a²b + 3ab² + b³

(140 + 8)³ = 140³ + 3 × 140² × 8 + 3 × 140 × 8² + 8³

148³ = 2,744,000 + 470,400 + 26,880 + 512

148³ = 3,238,192

Step 5: Hence, the cube of 148 is 3,238,192.

Using a Calculator

To find the cube of 148 using a calculator, input the number 148 and use the cube function (if available) or multiply 148 × 148 × 148. This operation calculates the value of 148³, resulting in 3,238,192. It’s a quick way to determine the cube without manual computation.

Step 1: Ensure the calculator is functioning properly.

Step 2: Press 1 followed by 4 and 8

Step 3: If the calculator has a cube function, press it to calculate 148³.

Step 4: If there is no cube function on the calculator, simply multiply 148 three times manually.

Step 5: The calculator will display 3,238,192.

Tips and Tricks for the Cube of 148

  • 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 148

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 148?

Okay, lets begin

The cube of 148 is 3,238,192 and the cube root of 148 is approximately 5.313.

Explanation

First, let’s find the cube of 148.

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 148³= 3,238,192.

Next, we must find the cube root of 148. We know that the cube root of a number x 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√148 ≈ 5.313.

Hence, the cube of 148 is 3,238,192 and the cube root of 148 is approximately 5.313.

Well explained 👍

Problem 2

If the side length of a cube is 148 cm, what is the volume?

Okay, lets begin

The volume is 3,238,192 cm³.

Explanation

Use the volume formula for a cube V = Side³.

Substitute 148 for the side length: V = 148³ = 3,238,192 cm³.

Well explained 👍

Problem 3

How much larger is 148³ than 140³?

Okay, lets begin

148³ – 140³ = 494,192.

Explanation

First find the cube of 148³, which is 3,238,192.

Next, find the cube of 140³, which is 2,744,000.

Now, find the difference between them using the subtraction method: 3,238,192 – 2,744,000 = 494,192.

Therefore, 148³ is 494,192 larger than 140³.

Well explained 👍

Problem 4

If a cube with a side length of 148 cm is compared to a cube with a side length of 10 cm, how much larger is the volume of the larger cube?

Okay, lets begin

The volume of the cube with a side length of 148 cm is 3,238,192 cm³.

Explanation

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

Cubing 148 means multiplying 148 by itself three times: 148 × 148 = 21,904, and then 21,904 × 148 = 3,238,192.

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

Therefore, the volume of the cube is 3,238,192 cm³.

Well explained 👍

Problem 5

Estimate the cube of 147.9 using the cube of 148.

Okay, lets begin

The cube of 147.9 is approximately 3,238,192.

Explanation

First, identify the cube of 148, The cube of 148 is 148³ = 3,238,192.

Since 147.9 is only a tiny bit less than 148, the cube of 147.9 will be almost the same as the cube of 148.

The cube of 147.9 is approximately 3,238,192 because the difference between 147.9 and 148 is very small.

So, we can approximate the value as 3,238,192.

Well explained 👍

FAQs on Cube of 148

1.What are the perfect cubes up to 148?

The perfect cubes up to 148 are 1, 8, 27, 64, and 125.

2.How do you calculate 148³?

To calculate 148³, use the multiplication method, 148 × 148 × 148, which equals 3,238,192.

3.What is the meaning of 148³?

148³ means 148 multiplied by itself three times, or 148 × 148 × 148.

4.What is the cube root of 148?

5.Is 148 a perfect cube?

No, 148 is not a perfect cube because no integer multiplied by itself three times equals 148.

Important Glossaries for Cube of 148

  • 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 amount of space enclosed within a cube, calculated by raising the side length to the power of three (Side³).
  • Perfect Cube: A number that can be expressed as the cube of an integer.

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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.