Cube of 948
2026-02-28 17:33 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 the cube of 948.

Cube of 948

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 948 can be written as 948³, which is the exponential form. Or it can also be written in arithmetic form as, 948 × 948 × 948.

How to Calculate the Value of Cube of 948

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
  • Using a Calculator

By Multiplication Method

The multiplication method is a process in mathematics used to find the product of 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. 948³ = 948 × 948 × 948

Step 2: You get 851,841,792 as the answer. Hence, the cube of 948 is 851,841,792.

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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 948 into two parts. Let a = 900 and b = 48, so a + b = 948

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

Step 3: Calculate each term

a³ = 900³

3a²b = 3 × 900² × 48

3ab² = 3 × 900 × 48²

b³ = 48³

Step 4: Add all the terms together:

(a + b)³ = a³ + 3a²b + 3ab² + b³

(900 + 48)³ = 900³ + 3 × 900² × 48 + 3 × 900 × 48² + 48³

948³ = 729,000,000 + 116,640,000 + 62,208,000 + 110,592

948³ = 851,841,792

Step 5: Hence, the cube of 948 is 851,841,792.

Using a Calculator

To find the cube of 948 using a calculator, input the number 948 and use the cube function (if available) or multiply 948 × 948 × 948. This operation calculates the value of 948³, resulting in 851,841,792. It’s a quick way to determine the cube without manual computation.

Step 1: Ensure the calculator is functioning properly.

Step 2: Press 9, 4, and 8

Step 3: If the calculator has a cube function, press it to calculate 948³.

Step 4: If there is no cube function on the calculator, simply multiply 948 three times manually.

Step 5: The calculator will display 851,841,792.

Tips and Tricks for the Cube of 948

  • 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 948

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 948?

Okay, lets begin

The cube of 948 is 851,841,792 and the cube root of 948 is approximately 9.821.

Explanation

First, let’s find the cube of 948.

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 948³ = 851,841,792

Next, we must find the cube root of 948

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 ∛948 ≈ 9.821

Hence the cube of 948 is 851,841,792 and the cube root of 948 is approximately 9.821.

Well explained 👍

Problem 2

If the side length of the cube is 948 cm, what is the volume?

Okay, lets begin

The volume is 851,841,792 cm³.

Explanation

Use the volume formula for a cube V = Side³.

Substitute 948 for the side length: V = 948³ = 851,841,792 cm³.

Well explained 👍

Problem 3

How much larger is 948³ than 900³?

Okay, lets begin

948³ – 900³ = 122,841,792.

Explanation

First find the cube of 948³, that is 851,841,792

Next, find the cube of 900³, which is 729,000,000

Now, find the difference between them using the subtraction method. 851,841,792 – 729,000,000 = 122,841,792

Therefore, the 948³ is 122,841,792 larger than 900³.

Well explained 👍

Problem 4

If a cube with a side length of 948 cm is compared to a cube with a side length of 50 cm, how much larger is the volume of the larger cube?

Okay, lets begin

The volume of the cube with a side length of 948 cm is 851,841,792 cm³.

Explanation

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

Cubing 948 means multiplying 948 by itself three times: 948 × 948 = 898,704, and then 898,704 × 948 = 851,841,792.

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

Therefore, the volume of the cube is 851,841,792 cm³.

Well explained 👍

Problem 5

Estimate the cube 947.9 using the cube 948.

Okay, lets begin

The cube of 947.9 is approximately 851,841,792.

Explanation

First, identify the cube of 948, The cube of 948 is 948³ = 851,841,792.

Since 947.9 is only a tiny bit less than 948, the cube of 947.9 will be almost the same as the cube of 948.

The cube of 947.9 is approximately 851,841,792 because the difference between 947.9 and 948 is very small.

So, we can approximate the value as 851,841,792.

Well explained 👍

FAQs on Cube of 948

1.What are the perfect cubes up to 948?

The perfect cubes up to 948 include numbers like 1, 8, 27, 64, 125, 216, 343, 512, 729.

2.How do you calculate 948³?

To calculate 948³, use the multiplication method, 948 × 948 × 948, which equals 851,841,792.

3.What is the meaning of 948³?

948³ means 948 multiplied by itself three times, or 948 × 948 × 948.

4.What is the cube root of 948?

5.Is 948 a perfect cube?

No, 948 is not a perfect cube because no integer multiplied by itself three times equals 948.

Important Glossaries for the Cube of 948

  • 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, 3³ represents 3 × 3 × 3 equals 27.
  • Volume of a Cube: The space inside a cube, calculated using the formula V = side length³.
  • Cube Root: The number that, when multiplied by itself three times, gives the original number. For example, the cube root of 27 is 3, as 3 × 3 × 3 = 27.

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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.