Cube of 374
2026-02-28 23:29 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 sizes of objects or things with cubic measurements. In this topic, we shall learn about the cube of 374.

Cube of 374

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 374 can be written as 374³, which is the exponential form.

Or it can also be written in arithmetic form as, 374 × 374 × 374.

How to Calculate the Value of Cube of 374

To check whether a number is a cube number or not, we can use the following three methods: the multiplication method, a factor formula (a³), or by using a calculator. These three methods will help students to cube 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. 374³ = 374 × 374 × 374

Step 2: You get 52,282,024 as the answer. Hence, the cube of 374 is 52,282,024.

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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 374 into two parts. Let a = 370 and b = 4, so a + b = 374

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

Step 3: Calculate each term a³ = 370³ 3a²b = 3 × 370² × 4 3ab² = 3 × 370 × 4² b³ = 4³

Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (370 + 4)³ = 370³ + 3 × 370² × 4 + 3 × 370 × 4² + 4³ 374³ = 50,653,000 + 164,560 + 17,760 + 64 374³ = 52,282,024

Step 5: Hence, the cube of 374 is 52,282,024.

Using a Calculator

To find the cube of 374 using a calculator, input the number 374 and use the cube function (if available) or multiply 374 × 374 × 374. This operation calculates the value of 374³, resulting in 52,282,024. It’s a quick way to determine the cube without manual computation.

Step 1: Ensure the calculator is functioning properly.

Step 2: Press 3 followed by 7 and 4

Step 3: If the calculator has a cube function, press it to calculate 374³.

Step 4: If there is no cube function on the calculator, simply multiply 374 three times manually.

Step 5: The calculator will display 52,282,024.

Tips and Tricks for the Cube of 374

  • The cube of any even number is always even, while the cube of any odd number is always odd.
     
  • 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 374

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

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Problem 1

What is the cube and cube root of 374?

Okay, lets begin

The cube of 374 is 52,282,024, and the cube root of 374 is approximately 7.22.

Explanation

First, let’s find the cube of 374.

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 374³ = 52,282,024 Next, we must find the cube root of 374.

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 ∛374 ≈ 7.22

Hence the cube of 374 is 52,282,024, and the cube root of 374 is approximately 7.22.

Well explained 👍

Problem 2

If the side length of the cube is 374 cm, what is the volume?

Okay, lets begin

The volume is 52,282,024 cm³.

Explanation

Use the volume formula for a cube V = Side³.

Substitute 374 for the side length: V = 374³ = 52,282,024 cm³.

Well explained 👍

Problem 3

How much larger is 374³ than 300³?

Okay, lets begin

374³ – 300³ = 29,082,024.

Explanation

First, find the cube of 374³, which is 52,282,024.

Next, find the cube of 300³, which is 27,000,000.

Now, find the difference between them using the subtraction method. 52,282,024 – 27,000,000 = 25,282,024

Therefore, 374³ is 25,282,024 larger than 300³.

Well explained 👍

Problem 4

If a cube with a side length of 374 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 374 cm is 52,282,024 cm³.

Explanation

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

Cubing 374 means multiplying 374 by itself three times: 374 × 374 = 139,876, and 139,876 × 374 = 52,282,024.

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

Therefore, the volume of the cube is 52,282,024 cm³.

Well explained 👍

Problem 5

Estimate the cube of 373.9 using the cube of 374.

Okay, lets begin

The cube of 373.9 is approximately 52,282,024.

Explanation

First, identify the cube of 374.

The cube of 374 is 374³ = 52,282,024.

Since 373.9 is only a tiny bit less than 374, the cube of 373.9 will be almost the same as the cube of 374.

The cube of 373.9 is approximately 52,282,024 because the difference between 373.9 and 374 is very small.

So, we can approximate the value as 52,282,024.

Well explained 👍

FAQs on Cube of 374

1.What are the perfect cubes up to 374?

The perfect cubes up to 374 are 1, 8, 27, 64, 125, 216, and 343.

2.How do you calculate 374³?

To calculate 374³, use the multiplication method: 374 × 374 × 374, which equals 52,282,024.

3.What is the meaning of 374³?

374³ means 374 multiplied by itself three times, or 374 × 374 × 374.

4.What is the cube root of 374?

5.Is 374 a perfect cube?

No, 374 is not a perfect cube because no integer multiplied by itself three times equals 374.

Important Glossaries for Cube of 374

  • 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, which equals 8.
     
  • Perfect Cube: A number that can be expressed as the cube of an integer, such as 1, 8, 27, etc.
     
  • Cube Root: The value that, when cubed, gives the original number. For example, the cube root of 8 is 2, because 2³ = 8.

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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.