Cube of -14
2026-02-21 20:55 Diff
https://brightchamps.com/en-us/math/algebra/cube-of-minus-14

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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 -14.

Cube of -14

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 -14 can be written as (-14)^3, which is the exponential form. Or it can also be written in arithmetic form as, -14 × -14 × -14.

How to Calculate the Value of Cube of -14

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 (a^3), 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 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. (-14)^3 = -14 × -14 × -14 Step 2: You get -2,744 as the answer. Hence, the cube of -14 is -2,744.

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Using a Formula (a^3)

The formula (a + b)^3 is a binomial formula for finding the cube of a number. The formula is expanded as a^3 + 3a^2b + 3ab^2 + b^3. Step 1: Split the number -14 into two parts, such as: Let a = -10 and b = -4, so a + b = -14 Step 2: Now, apply the formula (a + b)^3 = a^3 + 3a^2b + 3ab^2 + b^3 Step 3: Calculate each term a^3 = (-10)^3 3a^2b = 3 × (-10)^2 × (-4) 3ab^2 = 3 × (-10) × (-4)^2 b^3 = (-4)^3 Step 4: Add all the terms together: (a + b)^3 = a^3 + 3a^2b + 3ab^2 + b^3 (-10 + -4)^3 = (-10)^3 + 3 × (-10)^2 × (-4) + 3 × (-10) × (-4)^2 + (-4)^3 (-14)^3 = -1,000 - 1,200 - 480 - 64 (-14)^3 = -2,744 Step 5: Hence, the cube of -14 is -2,744.

Using a Calculator

To find the cube of -14 using a calculator, input the number -14 and use the cube function (if available) or multiply -14 × -14 × -14. This operation calculates the value of (-14)^3, resulting in -2,744. 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, then press the negative sign. Step 3: If the calculator has a cube function, press it to calculate (-14)^3. Step 4: If there is no cube function on the calculator, simply multiply -14 three times manually. Step 5: The calculator will display -2,744.

Tips and Tricks for the Cube of -14

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 -14

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:

Problem 1

What is the cube and cube root of -14?

Okay, lets begin

The cube of -14 is -2,744 and the cube root of -14 is approximately -2.41.

Explanation

First, let’s find the cube of -14. We know that the cube of a number is such that x^3 = y, Where x is the given number, and y is the cubed value of that number. So, we get (-14)^3 = -2,744. Next, we must find the cube root of -14. We know that the cube root of a number ‘x’ is such that ∛x = y, Where ‘x’ is the given number, and y is the cube root value of the number. So, we get ∛-14 ≈ -2.41. Hence, the cube of -14 is -2,744, and the cube root of -14 is approximately -2.41.

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Problem 2

If the side length of a cube is -14 cm, what is the volume?

Okay, lets begin

The volume is -2,744 cm³.

Explanation

Use the volume formula for a cube V = Side^3. Substitute -14 for the side length: V = (-14)^3 = -2,744 cm³.

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Problem 3

How much larger is (-14)^3 than (-10)^3?

Okay, lets begin

(-14)^3 - (-10)^3 = -1,744.

Explanation

First, find the cube of (-14)^3, which is -2,744. Next, find the cube of (-10)^3, which is -1,000. Now, find the difference between them using the subtraction method. -2,744 - (-1,000) = -1,744. Therefore, (-14)^3 is -1,744 larger (or more negative) than (-10)^3.

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Problem 4

If a cube with a side length of -14 cm is compared to a cube with a side length of -5 cm, how much larger is the volume of the larger cube?

Okay, lets begin

The volume of the cube with a side length of -14 cm is -2,744 cm³.

Explanation

To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object). Cubing -14 means multiplying -14 by itself three times: -14 × -14 = 196, and then 196 × -14 = -2,744. The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube. Therefore, the volume of the cube is -2,744 cm³.

Well explained 👍

Problem 5

Estimate the cube -13.9 using the cube -14.

Okay, lets begin

The cube of -13.9 is approximately -2,744.

Explanation

First, identify the cube of -14, The cube of -14 is (-14)^3 = -2,744. Since -13.9 is only a tiny bit more positive than -14, the cube of -13.9 will be almost the same as the cube of -14. The cube of -13.9 is approximately -2,744 because the difference between -13.9 and -14 is very small. So, we can approximate the value as -2,744.

Well explained 👍

FAQs on Cube of -14

1.What are the perfect cubes up to -14?

The perfect cubes up to -14 include -1, -8, and -27.

2.How do you calculate (-14)^3?

To calculate (-14)^3, use the multiplication method: -14 × -14 × -14, which equals -2,744.

3.What is the meaning of (-14)^3?

(-14)^3 means -14 multiplied by itself three times, or -14 × -14 × -14.

4.What is the cube root of -14?

5.Is -14 a perfect cube?

No, -14 is not a perfect cube because no integer multiplied by itself three times equals -14.

Important Glossaries for Cube of -14

Binomial Formula: It is an algebraic expression used to expand the powers of a sum, written as (a + b)^n, where ‘n’ is a positive integer raised to the base. The formula is used to find higher powers of numbers, like squares and cubes. 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, 2^3 represents 2 × 2 × 2 equals 8. Negative Cube: The result of cubing a negative number, which is always negative, as a negative number multiplied by itself three times remains negative. Volume of a Cube: The measure of space inside a cube, calculated by cubing the side length (Side^3), often expressed in cubic units.

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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.