Class 6 Exam > Class 6 Notes > Improve Your Calculations: Vedic Maths (English) > Worksheet: Cubes and Cube Roots
Worksheet: Cubes and Cube Roots | Improve Your Calculations: Vedic Maths (English) - Class 6 PDF Download
Q1: 113.
Q2: 133.
Q3: 523.
Q4: 553.
Q5: 323.
Q6: Find Cube Root of 13824.
Q7: Find Cube Root of 185193.
Q8: Find the Cube Root of 32768 using Vedic Maths Method.
Q9: Find the cube root of 287496.
Q10: Find the cube root of 681472.
The solutions of the worksheet "Cubes and Cube Roots"
The document Worksheet: Cubes and Cube Roots | Improve Your Calculations: Vedic Maths (English) - Class 6 is a part of the Class 6 Course Improve Your Calculations: Vedic Maths (English).
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FAQs on Worksheet: Cubes and Cube Roots - Improve Your Calculations: Vedic Maths (English) - Class 6
| 1. What is a cube in mathematics? |  |
Ans. A cube in mathematics refers to a three-dimensional geometric shape with six equal square faces. It can also refer to the result of raising a number to the third power, which means multiplying that number by itself twice. For example, \(3^3 = 3 \times 3 \times 3 = 27\).
| 2. How do you find the cube of a number? | |
Ans. To find the cube of a number, you multiply the number by itself twice. For instance, to find the cube of 4, you calculate \(4^3 = 4 \times 4 \times 4 = 64\).
| 3. What is a cube root, and how is it calculated? | |
Ans. A cube root is a value that, when multiplied by itself three times, gives the original number. It is denoted by the radical symbol \( \sqrt[3]{x} \). For example, the cube root of 27 is 3 because \(3^3 = 27\).
| 4. Can all numbers have cube roots, and are they always rational? | |
Ans. Yes, all real numbers have cube roots. However, while perfect cubes (like 8 or 27) have rational cube roots (2 and 3, respectively), non-perfect cubes (like 2 or 10) will have irrational cube roots.
| 5. What is the difference between a perfect cube and a non-perfect cube? | |
Ans. A perfect cube is a number that can be expressed as the cube of an integer, such as 1, 8, or 27. In contrast, a non-perfect cube cannot be expressed in this way; for example, 2 and 10 are non-perfect cubes because their cube roots are not whole numbers.
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Dec 20, 2024 Last updated |
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