# what is the cube root of 216

Here are the following steps for the same. The cube root of 216 is a value which after getting multiplied by itself, thrice, gives the original value. The cube root of 216 is a value which is obtained by multiplying that number three times It is expressed in the form of ∛216 . Here, 110 is not a perfect cube. Use this calculator to find the cube root of positive or negative numbers. How to find cube root using Division Method? For example, 6 is the cube root of 216 because 63 = 6•6•6 = 216, -6 is cube root of -216 because (-6)3 = (-6)•(-6)•(-6) = -216. Examples are 4³ = 4*4*4 = 64 or 8³ = 8*8*8 = 512 etc. 216 is said to be a perfect cube because 6 x 6 x 6 is equal to 216. The nearest previous perfect cube is 125 and the nearest next perfect cube is 343 . Answer: For finding the cube root using the division method follow the following steps. The cube root of 216 is a value which is obtained by multiplying that number three times It is expressed in the form of ∛216. Volume to (Weight) Mass Converter for Recipes, Weight (Mass) to Volume to Converter for Recipes. 110/16 = 6.875. As you can see the radicals are not in their simplest form. Now subtract 4 from 6.875 (whichever is greater) and divide it by 3. If 216 m3 volume then each length would be 6m etc. For example, 6 is the cube root of 216 because 6 3 = 6•6•6 = 216, -6 is cube root of -216 because (-6) 3 = (-6)• (-6)• (-6) = -216. Since 216 is a whole number, it is a perfect cube. Here are the following steps for the same. and 216 is equivalent to 6 x 6 x 6 or 6^3 Using (A^z) x (B^z), the result that we will get is (A x B)^z So the result of 729×216 = (9x7)^3 The cube root of any number or function also is the power of (1/3). What is Cube Root of 216 ? Similarly repeat the process, to find the cube root of a number. Sorry!, This page is not available for now to bookmark. Hence, if the value of ∛216 = x, then x3 = 216 and we need to find here the value of x. The process of cubing is similar to squaring, only that the number is multiplied three times instead of two times as in squaring. And the cube root of a number is the inverse operation of cubing a number. The length of each side of a cube such as this would be 6 units. All information in this site is provided “as is”, with no guarantee of completeness, accuracy, timeliness or of the results obtained from the use of this information. Now, we will apply cube root on both the sides, First we take the prime factors of a given number. Vedantu academic counsellor will be calling you shortly for your Online Counselling session. This is not an accurate value but closer to it. Now we would see 110 lies between 64 (cube of 4) and 125 (cube of 5). This means that each side of your box is 6 inches long. While every effort is made to ensure the accuracy of the information provided on this website, neither this website nor its authors are responsible for any errors or omissions, or for the results obtained from the use of this information. The radicand no longer has any cube factors. Let, ‘n’ be the value obtained from ∛216, then as per the definition of cubes, n × n × n = n. = 216. Let us find the cube root of 110 here. Pro Lite, Vedantu So, we will consider the lower number here, i.e. Therefore, the cube root of 110 is ∛110 = 4.9. Next find the number whose cube root is less than or equal to the given number. A cube root of a number a is a number x such that x3 = a, in other words, a number x whose cube is a. Divide 110 by square of 4, i.e. Pro Lite, Vedantu We know that the cube of any number is found by multiplying that number three times. Thus, we can say that the cube root is the inverse operation of cubing a number. Let, ‘n’ be the value obtained from ∛216, then as per the definition of cubes, n × n × n = n3 = 216. First we take the prime factors of a given number 1728, NCERT Solutions for Class 8 Maths Chapter 7 Cubes and Cube Roots, NCERT Solutions for Class 8 Maths Chapter 7 Cubes and Cube Roots in Hindi, NCERT Solutions for Class 8 Maths Chapter 7 Cubes and Cube Roots (EX 7.2) Exercise 7.2, NCERT Solutions for Class 8 Maths Chapter 7 Cubes and Cube Roots (EX 7.1) Exercise 7.1, NCERT Solutions for Class 7 Science Chapter 7 Weather, Climate and Adaptations of Animals to Climate, NCERT Solutions for Class 12 Chemistry Chapter 6 General Principles and Processes of Isolation of Elements in Hindi, NCERT Solutions for Class 9 Maths Chapter 9 Areas of Parallelograms and Triangles, NCERT Solutions for Class 7 Science Chapter 7 Weather, Climate and Adaptations of Animals to Climate In Hindi, Pollution of Air and Water NCERT Solutions - Class 8 Science, NCERT Solutions of Class 6 English Chapter 1 - A Tale of Two Birds, CBSE Class 8 Maths Chapter 7 - Cubes and Cube Roots Formulas, CBSE Class 8 Maths Revision Notes Chapter 7 - Cubes and Cube Roots, CBSE Class 7 Science Revision Notes Chapter 7 - Weather, Climate and Adaptations of Animals to Climate, Class 9 Maths Revision Notes for Areas of Parallelograms and Triangles of Chapter 9, Class 10 Maths Revision Notes for Introduction to Trigonometry of Chapter 8, Class 10 Maths Areas Related to Circles Notes for Circles of Chapter 12, CBSE Class 12 Maths Chapter-8 Application of Integrals Formula, CBSE Class 7 Maths Chapter 7 - Congruence of Triangles Formulas, Vedantu Therefore, group the factors of 216 in a pair of three and write in the form of cubes. Here is the answer to questions like: Cube root of 216 or what is the cube root of 216? Given a number x, the cube root of x is a number a such that a 3 = x.If x positive a will be positive, if x is negative a will be negative. How to find cube root of Non-perfect Cubes? Step 2: 216 is a perfect cube. Example: If the cube of a number 53 = 125, As 216 is a perfect cube, cube root of ∛216 can be found in two ways. The cube root of a number gives the value of the side of the geometrical shape, i.e. Now you can measure your closet to see if it will fit. Make a pair of 3 digit numbers from the back to front. 4. Please link to this page! The cube root of 216 is a value which is obtained by multiplying that number three times It is expressed in the form of ∛216 . We know that to find the volume of the cube, we have volume = side. Pro Lite, CBSE Previous Year Question Paper for Class 10, CBSE Previous Year Question Paper for Class 12. Hence, we will use here some other method. To unlock this lesson you must be a Study.com Member. Now, subtract the result from the given number and write down in the second number. At the final step, we have to add the lower number which we got at the first step and the decimal number obtained. 2. The cube root of a number a is that number which when multiplied by itself three times gives the number ‘a’ itself.

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