Cube of 974
2026-02-28 13:11 Diff
https://brightchamps.com/en-us/math/algebra/cube-of-974

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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 the cube of 974.

Cube of 974

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 974 can be written as 974³, which is the exponential form. Or it can also be written in arithmetic form as 974 × 974 × 974.

How to Calculate the Value of Cube of 974

In order 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. 974³ = 974 × 974 × 974

Step 2: You get 923,521,624 as the answer. Hence, the cube of 974 is 923,521,624.

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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 974 into two parts. Let a = 900 and b = 74, so a + b = 974

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

Step 3: Calculate each term

a³ = 900³

3a²b = 3 × 900² × 74

3ab² = 3 × 900 × 74²

b³ = 74³

Step 4: Add all the terms together:

(a + b)³ = a³ + 3a²b + 3ab² + b³

(900 + 74)³ = 900³ + 3 × 900² × 74 + 3 × 900 × 74² + 74³

974³ = 729,000,000 + 178,200,000 + 14,688,000 + 405,224

974³ = 923,521,624

Step 5: Hence, the cube of 974 is 923,521,624.

Using a Calculator

To find the cube of 974 using a calculator, input the number 974 and use the cube function (if available) or multiply 974 × 974 × 974. This operation calculates the value of 974³, resulting in 923,521,624. It’s a quick way to determine the cube without manual computation.

Step 1: Ensure the calculator is functioning properly.

Step 2: Press 9 followed by 7 and 4

Step 3: If the calculator has a cube function, press it to calculate 974³.

Step 4: If there is no cube function on the calculator, simply multiply 974 three times manually.

Step 5: The calculator will display 923,521,624.

Tips and Tricks for the Cube of 974

  • 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 974

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 974?

Okay, lets begin

The cube of 974 is 923,521,624 and the cube root of 974 is approximately 9.863.

Explanation

First, let’s find the cube of 974.

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 974³ = 923,521,624.

Next, we must find the cube root of 974.

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 ∛974 ≈ 9.863.

Hence the cube of 974 is 923,521,624 and the cube root of 974 is approximately 9.863.

Well explained 👍

Problem 2

If the side length of a cube is 974 cm, what is the volume?

Okay, lets begin

The volume is 923,521,624 cm³.

Explanation

Use the volume formula for a cube V = Side³.

Substitute 974 for the side length: V = 974³ = 923,521,624 cm³.

Well explained 👍

Problem 3

How much larger is 974³ than 874³?

Okay, lets begin

974³ – 874³ = 265,741,624.

Explanation

First, find the cube of 974³, which is 923,521,624.

Next, find the cube of 874³, which is 657,780,000.

Now, find the difference between them using the subtraction method. 923,521,624 – 657,780,000 = 265,741,624.

Therefore, 974³ is 265,741,624 larger than 874³.

Well explained 👍

Problem 4

If a cube with a side length of 974 cm is compared to a cube with a side length of 74 cm, how much larger is the volume of the larger cube?

Okay, lets begin

The volume of the cube with a side length of 974 cm is 923,521,624 cm³.

Explanation

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

Cubing 974 means multiplying 974 by itself three times: 974 × 974 = 948,676, and then 948,676 × 974 = 923,521,624.

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

Therefore, the volume of the cube is 923,521,624 cm³.

Well explained 👍

Problem 5

Estimate the cube of 973.9 using the cube of 974.

Okay, lets begin

The cube of 973.9 is approximately 923,521,624.

Explanation

First, identify the cube of 974, The cube of 974 is 974³ = 923,521,624.

Since 973.9 is only a tiny bit less than 974, the cube of 973.9 will be almost the same as the cube of 974.

The cube of 973.9 is approximately 923,521,624 because the difference between 973.9 and 974 is very small.

So, we can approximate the value as 923,521,624.

Well explained 👍

FAQs on Cube of 974

1.What are the perfect cubes up to 974?

The perfect cubes up to 974 are 1, 8, 27, 64, 125, 216, 343, 512, and 729.

2.How do you calculate 974³?

To calculate 974³, use the multiplication method, 974 × 974 × 974, which equals 923,521,624.

3.What is the meaning of 974³?

974³ means 974 multiplied by itself three times, or 974 × 974 × 974.

4.What is the cube root of 974?

5.Is 974 a perfect cube?

No, 974 is not a perfect cube because no integer multiplied by itself three times equals 974.

Important Glossaries for Cube of 974

  • 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 equals 8.
  • Perfect Cube: A number that can be expressed as the cube of an integer.
  • Cube Root: A number that, when multiplied by itself three times, gives the original number.

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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.