Last updated on May 26th, 2025
When a number is multiplied by itself thrice, the resultant number is called the cube of a number. Cubing is useful in comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about the cube of -110.
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 -110 can be written as (-110)^3, which is the exponential form. Or it can also be written in arithmetic form as, -110 × -110 × -110.
To check whether a number is a cube number or not, we can use the following three methods: the multiplication method, a factor formula (a^3), or by using a calculator. These three methods will help people cube numbers faster and easier without feeling confused or stuck while evaluating the answers. By Multiplication Method Using a Formula Using a Calculator
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. (-110)^3 = -110 × -110 × -110 Step 2: You get -1,331,000 as the answer. Hence, the cube of -110 is -1,331,000.
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 -110 into two parts, as a and b. Let a = -100 and b = -10, so a + b = -110 Step 2: Now, apply the formula (a + b)^3 = a^3 + 3a^2b + 3ab^2 + b^3 Step 3: Calculate each term a^3 = (-100)^3 3a^2b = 3 × (-100)^2 × -10 3ab^2 = 3 × -100 × (-10)^2 b^3 = (-10)^3 Step 4: Add all the terms together: (a + b)^3 = a^3 + 3a^2b + 3ab^2 + b^3 (-100 - 10)^3 = (-100)^3 + 3 × (-100)^2 × -10 + 3 × -100 × (-10)^2 + (-10)^3 (-110)^3 = -1,000,000 - 300,000 - 30,000 - 1,000 (-110)^3 = -1,331,000 Step 5: Hence, the cube of -110 is -1,331,000.
To find the cube of -110 using a calculator, input the number -110 and use the cube function (if available) or multiply -110 × -110 × -110. This operation calculates the value of (-110)^3, resulting in -1,331,000. It’s a quick way to determine the cube without manual computation. Step 1: Ensure the calculator is functioning properly. Step 2: Input -110. Step 3: If the calculator has a cube function, press it to calculate (-110)^3. Step 4: If there is no cube function on the calculator, simply multiply -110 three times manually. Step 5: The calculator will display -1,331,000.
The cube of any negative number is always negative, while the cube of any positive number is always positive. 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.
There are some typical errors that might occur during the process of cubing a number. Let us take a look at five of the major mistakes:
What is the cube and cube root of -110?
The cube of -110 is -1,331,000 and the cube root of -110 is approximately -4.791.
First, let’s find the cube of -110. We know that cube of a number, such that x^3 = y Where x is the given number, and y is the cubed value of that number So, we get (-110)^3= -1,331,000 Next, we must find the cube root of -110 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 ∛(-110) ≈ -4.791 Hence the cube of -110 is -1,331,000 and the cube root of -110 is approximately -4.791.
If the side length of a cube is -110 cm, what is the volume?
The volume is -1,331,000 cubic cm.
Use the volume formula for a cube V = Side^3. Substitute -110 for the side length: V = (-110)^3 = -1,331,000 cubic cm.
How much larger is (-110)^3 than (-100)^3?
(-110)^3 - (-100)^3 = -331,000.
First, find the cube of (-110), which is -1,331,000. Next, find the cube of (-100), which is -1,000,000. Now, find the difference between them using the subtraction method. -1,331,000 - (-1,000,000) = -331,000 Therefore, (-110)^3 is -331,000 smaller than (-100)^3.
If a cube with a side length of -110 cm is compared to a cube with a side length of -10 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of -110 cm is -1,331,000 cubic cm.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object). Cubing -110 means multiplying -110 by itself three times: -110 × -110 = 12,100, and then 12,100 × -110 = -1,331,000. The unit of volume is cubic centimeters (cubic cm), because we are calculating the space inside the cube. Therefore, the volume of the cube is -1,331,000 cubic cm.
Estimate the cube of -109.9 using the cube of -110.
The cube of -109.9 is approximately -1,331,000.
First, identify the cube of -110, The cube of -110 is (-110)^3 = -1,331,000. Since -109.9 is only a tiny bit more than -110, the cube of -109.9 will be almost the same as the cube of -110. The cube of -109.9 is approximately -1,331,000 because the difference between -109.9 and -110 is very small. So, we can approximate the value as -1,331,000.
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. Perfect Cube: A number that is the cube of an integer. Cube Root: A value that, when multiplied by itself three times, gives the original number.
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.
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